Zhi-wei Sun

Zhi-wei Sun's AcademicInfluence.com Rankings

Zhi-wei Sun

Mathematics

#7058

World Rank

#9669

Historical Rank

Number Theory

#221

World Rank

#285

Historical Rank

Measure Theory

#1827

World Rank

#2234

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Why Is Zhi-wei Sun Influential?

(Suggest an Edit or Addition)

(See a Problem?)

Zhi-wei Sun's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Super congruences and Euler numbers (2010) (141)
Fibonacci numbers and Fermat's last theorem (1992) (118)
New congruences for central binomial coefficients (2008) (115)
On congruences related to central binomial coefficients (2009) (106)
Binomial coefficients, Catalan numbers and Lucas quotients (2009) (83)
Open Conjectures on Congruences (2009) (81)
On sums of Ap\'ery polynomials and related congruences (2011) (76)
ON SOME NEW CONGRUENCES FOR BINOMIAL COEFFICIENTS (2007) (74)
On sums involving products of three binomial coefficients (2010) (68)
List of conjectural series for powers of $\pi$ and other constants (2011) (67)
Congruences involving generalized central trinomial coefficients (2010) (65)
A combinatorial identity with application to Catalan numbers (2005) (62)
New identities involving Bernoulli and Euler polynomials (2004) (59)
A new series for $\pi^3$ and related congruences (2010) (56)
Combinatorial identities in dual sequences (2003) (54)
Supercongruences involving products of two binomial coefficients (2010) (51)
An extension of Lucas’ theorem (2001) (47)
On Delannoy numbers and Schr\"oder numbers (2010) (47)
Covering the integers by arithmetic sequences. II (1996) (45)
COMBINATORIAL CONGRUENCES MODULO PRIME POWERS (2005) (44)
Conjectures involving arithmetical sequences (2012) (43)
Congruences for Franel numbers (2011) (43)
Israel J. Math. 128(2002), 135–156. ON THE SUM ∑ k≡r (mod m) n k AND RELATED CONGRUENCES (2004) (42)
Unification of zero-sum problems, subset sums and covers of ℤ (2003) (41)
Arithmetic theory of harmonic numbers (II) (2009) (41)
Conjectures and results on $x^2$ mod $p^2$ with $4p=x^2+dy^2$ (2011) (41)
A refinement of a congruence result by van Hamme and Mortenson (2010) (40)
SOME IDENTITIES FOR BERNOULLI (2004) (37)
Values of Bernoulli polynomials (1996) (36)
NEW SERIES FOR SOME SPECIAL VALUES OF L-FUNCTIONS (2010) (35)
On some determinants with Legendre symbol entries (2013) (34)
Mixed sums of squares and triangular numbers (2005) (33)
Products and Sums Divisible by Central Binomial Coefficients (2010) (33)
On universal sums of polygonal numbers (2009) (33)
On weighted zero-sum sequences (2010) (32)
Restricted sums in a field (2002) (32)
Connections between p=x2+3y2 and Franel numbers (2013) (32)
Polynomial extension of Fleck's congruence (2005) (32)
A number-theoretic approach to homotopy exponents of SU(n) (2005) (31)
General congruences for Bernoulli polynomials (2003) (30)
On Euler numbers modulo powers of two (2004) (30)
On Sums Related to Central Binomial and Trinomial Coefficients (2011) (30)
ON A CURIOUS PROPERTY OF BELL NUMBERS (2010) (29)
Quadratic residues and related permutations and identities (2018) (29)
Identities concerning Bernoulli and Euler polynomials (2004) (29)
p-adic congruences motivated by series (2011) (29)
A Lower Bound for {a+b: a in A, b in B, and P(a, b) != 0} (2002) (29)
Mixed sums of squares and triangular numbers (II) (2005) (27)
Exact m-covers and the linear form $∑^k_{s=1} x_s/n_s$ (1997) (27)
On Snevily's conjecture and restricted sumsets (2003) (27)
A congruence for primes (1995) (27)
Algebraic Approaches to Periodic Arithmetical Maps (2001) (27)
On the sum Σk≡r(modm) (kn) and related congruencesand related congruences (2002) (26)
Two congruences involving harmonic numbers with applications (2014) (26)
A result similar to Lagrange's theorem (2015) (26)
ON A SEQUENCE INVOLVING SUMS OF PRIMES (2012) (25)
On functions taking only prime values (2012) (25)
Restricted sums of subsets of Z (2001) (23)
Supercongruences involving dual sequences (2015) (23)
Refining Lagrange's four-square theorem (2016) (23)
REDUCTION OF UNKNOWNS IN DIOPHANTINE REPRESENTATIONS (1992) (22)
On almost universal mixed sums of squares and triangular numbers (2008) (22)
ON INTEGERS NOT OF THE FORM ±p ± q (2000) (22)
SOME NEW SERIES FOR 1 / π AND RELATED CONGRUENCES (2011) (22)
Fibonacci numbers modulo cubes of primes (2009) (21)
On covering numbers (2006) (21)
On covering multiplicity (1999) (21)
On monotonicity of some combinatorial sequences (2012) (21)
On integers not of the form (1999) (21)
p-adic valuations of some sums of multinomial coefficients (2009) (20)
Congruences for sums of binomial coefficients (2005) (20)
New series for powers of $\pi$ and related congruences (2019) (20)
Determination of the two-color Rado number for a1x1+ ... +amxm=x0 (2008) (19)
PRODUCTS OF BINOMIAL COEFFICIENTS MODULO p 2 (2001) (19)
Further results on Hilbert’s Tenth Problem (2017) (19)
FINITE COVERS OF GROUPS BY COSETS OR SUBGROUPS (2005) (19)
Sums of subsets with polynomial restrictions (2002) (19)
ON q-ANALOGUES OF SOME SERIES FOR π AND π 2 (2019) (18)
On odd covering systems with distinct moduli (2004) (18)
Finite coverings of groups (1990) (18)
Arithmetic Properties of Periodic Maps (2004) (17)
On exactlym times covers (1992) (17)
On value sets of polynomials over a field (2007) (17)
Two new kinds of numbers and related divisibility results (2014) (17)
Supercongruences motivated by e (2010) (17)
ON VARIOUS RESTRICTED SUMSETS (2004) (17)
On the Function w(x)=|{1≤s≤k : x≡as (mod ns)}| (2003) (16)
ON SUMS OF PRIMES AND TRIANGULAR NUMBERS (2008) (16)
Proof of three conjectures on congruences (2010) (16)
Telescoping method and congruences for double sums (2016) (16)
On the Herzog–Schönheim conjecture for uniform covers of groups (2003) (16)
On the range of a covering function (2004) (16)
LUCAS-TYPE CONGRUENCES FOR CYCLOTOMIC -COEFFICIENTS (2008) (16)
An additive theorem and restricted sumsets (2006) (15)
Some congruences for the second-order Catalan numbers (2009) (15)
A new extension of the Erdos-Heilbronn conjecture (2007) (14)
Restricted sumsets and a conjecture of Lev (2005) (14)
Binomial coefficients and quadratic fields (2004) (14)
Investigation of the active sites for NO oxidation reactions over MnOx–CeO2 catalysts (2017) (14)
RECIPROCAL SUMS OF SECOND-ORDER RECURRENT SEQUENCES (1999) (13)
A lower bound for |a+b: a∈A, b∈B, P(a,b)\not=0| (2006) (13)
Covering the integers by arithmetic sequences (1995) (13)
On Covering Equivalence (2002) (13)
Congruences for the second-order Catalan numbers (2010) (13)
Some variants of Lagrange's four squares theorem (2016) (13)
Combinatorial congruences and Stirling numbers (2005) (12)
Various congruences involving binomial coefficients and higher-order Catalan numbers (2009) (12)
A REFINEMENT OF THE (2010) (12)
On harmonic numbers and Lucas sequences (2010) (12)
On sums of binomial coefficients and their applications (2004) (12)
On a Sumset Problem for Integers (2010) (12)
Zero-sum problems for abelian p-groups and covers of the integers by residue classes (2003) (12)
Restricted sums of four squares (2017) (11)
Covers of the integers with odd moduli and their applications to the forms xm-2n and x2-F3n/2 (2007) (11)
A variant of Tao's method with application to restricted sumsets (2008) (11)
Arithmetic properties of Delannoy numbers and Schr\"oder numbers (2016) (11)
Congruences involving $$g_n(x)=\sum \limits _{k=0}^n\left( {\begin{array}{c}n\\ k\end{array}}\right) ^2\left( {\begin{array}{c}2k\\ k\end{array}}\right) x^k$$gn(x)=∑k=0nnk22kkxk (2016) (11)
Some curious congruences modulo primes (2009) (11)
A curious identity involving binomial coefficients. (2002) (10)
Supercongruences involving Lucas sequences (2016) (10)
Linear extension of the Erdős-Heilbronn conjecture (2008) (10)
On two-way nondeterministic finite automata with one reversal-bounded counter (2005) (9)
Exactm-covers of Groups by Cosets (2001) (9)
A local–global theorem on periodic maps (2004) (9)
On $q$-analogues of some series for $\pi $ and $\pi ^2$ (2018) (9)
On disjoint residue classes (1992) (9)
New congruences involving products of two binomial coefficients (2016) (9)
Problems on combinatorial properties of primes (2014) (9)
On Fleck quotients (2006) (9)
On the 1-3-5 conjecture and related topics (2017) (9)
Integers not of the form $c(2^a+2^b)+p^{\alpha }$ (2001) (9)
Sums of four polygonal numbers with coefficients (2016) (9)
On the Emptiness Problem for Two-Way NFA with One Reversal-Bounded Counter (2002) (8)
On some determinants involving Jacobi symbols (2018) (8)
Two $q$-analogues of Euler’s formula $\zeta (2)=\pi ^2/6$ (2018) (8)
A NOTE ON INTEGERS OF THE FORM 2n+cp (2002) (8)
Conjectures on Representations Involving Primes (2012) (8)
New series for powers of \begin{document}$ \pi $\end{document} and related congruences (2020) (8)
A sharp result on m-covers (2005) (8)
Some new problems in additive combinatorics (2013) (8)
New type series for powers of $\pi$ (2021) (7)
Exterior algebras and two conjectures on finite abelian groups (2008) (7)
Proof of a conjectural supercongruence (2015) (7)
Acta Arith. 81(1997), no. 2, 175-198. EXACT m-COVERS AND THE LINEAR FORM ∑ k s=1 xs/ns (2004) (7)
Some new series for $1/\pi$ and related congruences (2011) (7)
ON COVERS OF ABELIAN GROUPS BY COSETS (2004) (7)
On $x(ax+1)+y(by+1)+z(cz+1)$ and $x(ax+b)+y(ay+c)+z(az+d)$ (2015) (7)
On some universal sums of generalized polygonal numbers (2009) (7)
On some determinants involving the tangent function (2019) (7)
On the number of zero-sum subsequences (2007) (6)
On Apery numbers and generalized central trinomial coefficients (2010) (6)
Universal sums of three quadratic polynomials (2015) (6)
ON SUMS OF DISTINCT REPRESENTATIVES (1998) (6)
Sums of minima and maxima (2002) (6)
HALL'S THEOREM REVISITED (2001) (6)
q-Analogues of Some Series for Powers of $$\pi $$ (2021) (6)
Divisibility results on Franel numbers and related polynomials (2019) (6)
A connection between covers of the integers and unit fractions (2004) (5)
A LOWER BOUND FOR |{a + b: a 2 A, b 2 B, P(a,b) 6 0}| (2002) (5)
Proof of some conjectures involving quadratic residues (2019) (5)
On Motzkin numbers and central trinomial coefficients (2018) (5)
Proof of some conjectural hypergeometric supercongruences via curious identities (2020) (5)
ON DIVISIBILITY OF BINOMIAL COEFFICIENTS (2012) (5)
On $q$-Euler numbers, $q$-Salié numbers and $q$-Carlitz numbers (2005) (5)
On irreducible polynomials over finite fields (2012) (5)
A UNIFIED THEORY OF ZERO-SUM PROBLEMS, SUBSET SUMS AND COVERS OF Z (2005) (5)
CONGRUENCES INVOLVING BINOMIAL COEFFICIENTS AND LUCAS SEQUENCES (2009) (5)
Some q-congruences related to 3-adic valuations (2009) (4)
Mixed Sums of Primes and Other Terms (2009) (4)
CURIOUS CONGRUENCES FOR FIBONACCI NUMBERS (2009) (4)
Some congruences involving binomial coefficients (2010) (4)
Congruences involving central binomial coefficients and Catalan numbers (2007) (4)
Determining $x$ or $y$ mod $p^2$ with $p=x^2+dy^2$ (2012) (4)
Arithmetic progressions represented by diagonal ternary quadratic forms (2018) (4)
Determination of the two-color Rado number for $a_1x_1+...+a_mx_m=x_0$ (2006) (4)
A Survey of Problems and Results on Restricted Sumsets (2007) (4)
Proof of a Conjecture Involving Derangements and Roots of Unity (2022) (3)
Extensions of Wilson's lemma and the Ax-Katz theorem (2006) (3)
Quadratic residues and quartic residues modulo primes (2018) (3)
PROBLEMS AND RESULTS ON COVERING SYSTEMS (2005) (3)
Arithmetic properties of some permanents (2021) (3)
Trigonometric identities and quadratic residues (2019) (3)
A new extension of the Sun-Zagier result involving Bell numbers and derangement numbers (2020) (3)
Binomial coefficients and the ring of p-adic integers (2008) (3)
On divisibility concerning binomial coefficients (2010) (3)
On practical numbers of some special forms (2018) (3)
A THEOREM CONCERNING SYSTEMS OF RESIDUE CLASSES (1991) (3)
On sums of four pentagonal numbers with coefficients (2020) (3)
$p$-adic analogues of hypergeometric identities and their applications (2019) (3)
Super congruences and elliptic curves over $\Bbb F_p$ (2010) (3)
A refinement of the Hamme-Mortenson congruence (2010) (3)
A connection between covers of Z and unit fractions (2004) (3)
Mixed quantifier prefixes over Diophantine equations with integer variables (2021) (3)
Anew Relation-Combining Theorem and its Application (1992) (3)
Generalizations of Knopp's Identity (2002) (3)
Hankel-type determinants for some combinatorial sequences (2016) (3)
On Bialostocki's conjecture for zero-sum sequences (2008) (3)
Some refinements of Lagrange's four-square theorem (2016) (2)
A new theorem on the prime-counting function (2014) (2)
FLECK QUOTIENTS AND BERNOULLI NUMBERS (2006) (2)
On a Permutation Problem for Finite Abelian Groups (2016) (2)
Congruences involving central trinomial coefficients (2019) (2)
Safety Verification for Two-Way Finite Automata with Monotonic Counters (2002) (2)
Some new inequalities for primes (2012) (2)
A RECIPROCITY LAW FOR UNIFORM FUNCTIONS (2004) (2)
Each Positive Rational Number Has the Form (2020) (2)
Proof of several conjectures relating permanents to combinatorial sequences (2021) (2)
FAST CONVERGING SERIES FOR SOME FAMOUS CONSTANTS (2010) (2)
Conjectures involving combinatorial sequences (2012) (2)
On 2-adic orders of some binomial sums (2009) (2)
New observations on primitive roots modulo primes (2014) (2)
Symmetric Identities for Euler Polynomials (2008) (2)
Quadratic residues and related permutations (2018) (2)
SOME NEW SUPER-CONGRUENCES MODULO PRIME POWERS (2010) (2)
New congruences involving harmonic numbers (2014) (2)
An Extension of a Curious Binomial Identity (2004) (2)
ON ZERO-SUM PROBLEMS (2006) (2)
On universal sums $x(ax+b)/2+y(cy+d)/2+z(ez+f)/2$ (2015) (2)
ON m-COVERS AND m-SYSTEMS (2004) (2)
Conjectures involving primes and quadratic forms (2012) (1)
Legendre symbols related to certain determinants (2022) (1)
Two new kinds of numbers and their arithmetic properties (2014) (1)
EXACT m-COVERS AND THE LINEAR FORM Pk=1 xs/ns (1997) (1)
Natural numbers represented by $\lfloor x^2/a\rfloor+\lfloor y^2/b\rfloor+\lfloor z^2/c\rfloor$ (2015) (1)
An analogue of the prime number theorem for finite fields (2013) (1)
Congruences for Apéry numbers $\beta_{n}=\sum_{k=0}^{n}\binom{n}{k}^2\binom{n+k}{k}$ (2018) (1)
Each natural number is of the form x^2+(2y)^2+z(z+1)/2 (2005) (1)
Consecutive primes and Legendre symbols (2014) (1)
Positive squares written as nontrivial sums of four squares (2020) (1)
N T ] 1 3 O ct 2 02 2 Preprint SERIES WITH SUMMANDS INVOLVING HIGHER ORDER HARMONIC NUMBERS (2022) (1)
Preprint ( Dec . 10 , 2004 ) ON ODD COVERING SYSTEMS WITH DISTINCT MODULI (2004) (1)
EVALUATIONS SOME TOELITZ-TYPE DETERMINANTS (2022) (1)
Proof of three conjectures on determinants related to quadratic residues (2020) (1)
On $q$-analogues of a Zeilberger-type series for $\pi^2$ (2018) (1)
Series with summands involving harmonic numbers (2022) (1)
A CONJECTURE ON UNIT FRACTIONS INVOLVING PRIMES (2015) (1)
Congruences involving Catalan numbers (2007) (1)
Sums of four squares with certain restrictions. (2020) (1)
A combinatorial congruence on polynomials (2005) (1)
Quantum Secure Direct Communication with Two-Photon Four-Qubit Cluster States (2012) (1)
New identities involving Bernoulli and Euler polynomials. II (2004) (1)
Proof of some conjectural supercongruences via curious identities (2020) (1)
A $q$-analogue of Euler's formula $\zeta(2)=\pi^2/6$ (2018) (1)
Congruences involving $g_n(x)=\sum_{k=0}^n\binom nk^2\binom{2k}kx^k$ (2014) (1)
To appear in Acta Arith. IDENTITIES CONCERNING BERNOULLI AND EULER POLYNOMIALS (2006) (1)
Some universal quadratic sums over the integers (2017) (1)
Evaluations of some Toeplitz-type determinants (2022) (1)
On a new zeta function (2012) (1)
arXiv:math.NT/0502187 CONGRUENCES FOR SUMS OF BINOMIAL COEFFICIENTS (2005) (1)
Some super congruences involving binomial coefficients (2010) (1)
Supercongruences arising from certain identities (2020) (1)
On a pair of zeta functions (2012) (1)
EXPLICIT CONGRUENCES FOR EULER POLYNOMIALS (2006) (1)
ON SOME UNIVERSAL SUMS OF GENERALIZED POLYGONAL (2016) (1)
Congruences involving generalized central trinomial coefficients (2014) (1)
Trans. Amer. Math. Soc., in press. COMBINATORIAL CONGRUENCES (2007) (0)
RECENT PROGRESS ON CONGRUENCES INVOLVING BINOMIAL COEFFICIENTS (2006) (0)
On Sums and Products in a Field (2018) (0)
Sums of four rational squares with certain restrictions (2020) (0)
Frontiers of Combinatorics and Number Theory (2012) (0)
Some new trigonometric identities (2019) (0)
My Main Work on the Three Topics (2005) (0)
On q-Euler numbers and q-Salie numbers (2005) (0)
On partitions of integers with restrictions involving squares (2021) (0)
Preprint A NEW TRIGONOMETRIC IDENTITY WITH APPLICATIONS (2019) (0)
Preprint CHARACTERIZING RATIONAL RAMNUJAN-TYPE SERIES FOR 1 / π VIA CONGRUENCES (2019) (0)
A talk given at University of Illinois at Urbana Champaign (April 13, 2006) COVERING SYSTEMS AND PERIODIC ARITHMETICAL FUNCTIONS (2006) (0)
Sums of squares with restrictions involving primes (2018) (0)
VARIOUS EXTENSIONS OF SOME BASIC RESULTS IN COMBINATORIAL NUMBER THEORY (2008) (0)
A PARAMETRIC CONGRUENCE ARISING FROM ORR’S IDENTITY (2021) (0)
RESTRICTED SUMSETS AND A CONJECTURE OF (2005) (0)
Non-geometric routing algorithms (2002) (0)
ON CONVOLUTIONS OF EULER NUMBERS (2010) (0)
A talk given at the National Taiwan Univ. on June 24, 2002. ON THE STRUCTURE OF PERIODIC ARITHMETICAL MAPS (2004) (0)
A new theorem on the prime-counting function (2015) (0)
New congruences involving second-order harmonic numbers (2014) (0)
Evaluations of some series of the type $\sum_{k=0}^\infty(ak+b)x^k/\binom{mk}{nk}$ (2022) (0)
On restricted permutations of $\{1,\ldots,n\}$ (2018) (0)
Preprint , Version 2 . 2 ON WEIGHTED ZERO-SUM SEQUENCES (2010) (0)
A simple way to generate all primes (2012) (0)
PROOF OF SOME INVOLVING QUADRATIC RESIDUES (2020) (0)
FOR UNIFORM COVERS OF GROUPS (2004) (0)
SOME CONGRUENCES MOTIVATED BY ALGEBRAIC TOPOLOGY (2005) (0)
On universal sums $ax^2+by^2+f(z)$, $aT_x+bT_y+f(z)$ and $aT_x+by^2+f(z)$ (2015) (0)
Preprint A PRODUCT INVOLVING THE TANGENT FUNCTION AND CUBIC RESIDUES (2022) (0)
Notes on primitive roots modulo primes (2014) (0)
Proof of two conjectures on 3-adic valuations (2009) (0)
On permutations of $$\{1,\ldots ,n\}$$ and related topics (2018) (0)
On some determinants and permanents (2022) (0)
SOME SIMPLE IDEAS FOR FAMOUS PROBLEMS (2004) (0)
Further results on sums of squares (2018) (0)
The tangent function and power residues modulo primes (2022) (0)
Preprint, arXiv:math.NT/0702382 COVERS OF THE INTEGERS WITH ODD MODULI AND THEIR APPLICATIONS TO THE FORMS x m − 2 n AND x 2 − F3n/2 (2007) (0)
A talk given at Graz Univ. on June 14, 2004. COVERING SYSTEMS AND THEIR CONNECTIONS TO ZERO-SUMS (2004) (0)
Ja n 20 04 Preprint ( 2003-01-19 ) BINOMIAL COEFFICIENTS AND QUADRATIC FIELDS (2004) (0)
On congruences involving Ap\'ery numbers (2022) (0)
On two conjectures involving quadratic residues (2019) (0)
6689 ON A PAIR OF ZETA FUNCTIONS (2012) (0)
New congruences involving products of two binomial coefficients (2019) (0)
Israel J . Math . ZERO-SUM PROBLEMS IN ABELIAN p-GROUPS AND COVERS OF THE INTEGERS BY RESIDUE CLASSES (2007) (0)
A Unified Theory of Zero-sum Problems and Covers of the Integers (2003) (0)
Some new series for $1/\pi $ motivated by congruences (2020) (0)
5988 ON PRIMES IN ARITHMETIC PROGRESSIONS (2013) (0)
A curious identity for Bernoulli numbers (2013) (0)
On permutations of { 1 , . . . , n } and related topics (2021) (0)
SOME CONGRUENCES FOR THE (2010) (0)
O ct 2 01 8 Preprint , arXiv : 1809 . 07766 QUADRATIC RESIDUES AND RELATED PERMUTATIONS AND IDENTITIES (2018) (0)
Groups and Combinatorial Number Theory (2004) (0)
Preprint (arXiv:math.NT/0508087) COMBINATORIAL CONGRUENCES MODULO PRIME POWERS (2005) (0)
HOW TO UNIFY COVERING SYSTEMS , RESTRICTED SUMSETS AND ZERO-SUM PROBLEMS ? (2004) (0)
A SURVEY OF ZERO-SUM PROBLEMS ON ABELIAN GROUPS (2006) (0)
On sumsets with polynomial restrictions (2008) (0)
RADO NUMBER FOR a1x1 + + amxm = x0 (2008) (0)
ON VARIOUS COMBINATORIAL SUMS AND RELATED IDENTITIES (2004) (0)
Connections between covers of $\mathbb Z$ and subset sums (2020) (0)
J . Number Theory SIMPLE ARGUMENTS ON CONSECUTIVE POWER RESIDUES (2005) (0)
Notes on sum_{k=0}^{p-1}binom(2k,k)^3/m^k mod p^2 (2012) (0)
N T ] 1 7 O ct 2 01 9 p-ADIC ANALOGUES OF HYPERGEOMETRIC IDENTITIES AND THEIR APPLICATIONS (2019) (0)
On primes in arithmetic progressions (2013) (0)
Preprint, arXiv:1911.05456 CHARACTERIZING RATIONAL RAMANUJAN-TYPE SERIES FOR 1/π VIA CONGRUENCES (2019) (0)
COMBINATORIAL ASPECTS OF SZEMERÉDI ’ S THEOREM (2007) (0)
Proof of a conjectural supercongruence modulo $p^5$ (2021) (0)
Acta Arith. 127(2007), no.4, 337–363. ON FLECK QUOTIENTS (2007) (0)
Preprint , arXiv : 1011 . 3487 SOME NEW SUPER-CONGRUENCES MODULO PRIME POWERS (2011) (0)
Supercongruences for central trinomial coefficients. (2020) (0)
N T ] 3 J un 2 01 9 SUMS OF SQUARES WITH RESTRICTIONS INVOLVING PRIMES (2019) (0)
On two new kinds of restricted sumsets (2022) (0)
A $q$-analogue of the identity $\sum_{k=0}^\infty\frac{(-1)^k}{(2k+1)^3}=\frac{\pi^3}{32}$ (2018) (0)
N T ] 1 5 O ct 2 01 9 p-ADIC ANALOGUES OF TWO 4 F 3 HYPERGEOMETRIC IDENTITIES AND THEIR APPLICATIONS (2019) (0)
Finite Fields Appl. 56(2019), 285–307. ON SOME DETERMINANTS WITH LEGENDRE SYMBOL ENTRIES (2019) (0)
Acta Arith. 99(2001), no. 2, 183–190. INTEGERS NOT OF THE FORM c(2 a + 2 b) + p α (2004) (0)
n (−1) (2006) (0)
On determinants involving second-order recurrent sequences (2023) (0)
An identity involving products of three binomial coefficients (2005) (0)
(Communicated by D. Goss) (2004) (0)
Characterizing rational Ramanujan-type series for $1/\pi$ via congruences (2019) (0)
NEW CONJECTURES ON REPRESENTATIONS OF INTEGERS (I) (2018) (0)
Preprint , arXiv : 1908 . 02155 TRIGONOMETRIC IDENTITIES AND QUADRATIC RESIDUES (2019) (0)
To appear in Int. J. Number Theory. LUCAS-TYPE CONGRUENCES FOR CYCLOTOMIC ψ-COEFFICIENTS (2006) (0)
RECENT PROGRESS ON ZERO-SUM PROBLEMS AND SNEVILY'S CONJECTURE (2004) (0)
Universal sums of three quadratic polynomials (2018) (0)
On exponential diophantine equations over $\mathbb Q$ with few unknowns (2021) (0)
A new theorem on quadratic residues modulo primes (2021) (0)
Congruences for Apéry numbers βn =∑k=0nn k2n+k k (2020) (0)
On universal sums of polygonal numbers (2015) (0)
Some new congruences involving Catalan numbers (2009) (0)
CATALAN NUMBERS AND LUCAS QUOTIENTS (2010) (0)
J an 2 00 4 Preprint ( 2004-01-07 ) AN EXTENSION OF A CURIOUS BINOMIAL IDENTITY (2004) (0)
SOME NEW SERIES FOR 1/π MOTIVATED BY CONGRUENCES (2020) (0)
Reported on the 2 rd Cross-Strait Confer . on Graph Theory and Combin (2004) (0)
Each positive rational number has the form $\varphi(m^2)/\varphi(n^2)$ (2020) (0)
THEORY OF HARMONIC NUMBERS (2009) (0)
Quadratic Reciprocity Revisited (2003) (0)
Preprint ON CONGRUENCES INVOLVING CENTRAL BINOMIAL COEFFICIENTS (2009) (0)
A new result similar to the Graham-Pollak theorem (2023) (0)
N T ] 3 0 Ju l 2 01 9 Preprint ON TWO CONJECTURES INVOLVING QUADRATIC RESIDUES (2019) (0)
AND SCHR ¨ ODER NUMBERS (2011) (0)
Preprint (2005-07-01), arXiv:math.NT/0507008. POLYNOMIAL EXTENSION OF FLECK’S CONGRUENCE (2005) (0)
NOTES ON CONJECTURES OF ZHI-WEI SUN (2009) (0)
ALower Bound for jf a þ b : a 2 A ; b 2 B ; P ð a ; b Þ a 0 gj (2002) (0)
Preprint (2007-02-13) COVERS OF THE INTEGERS WITH ODD MODULI AND THEIR APPLICATIONS TO THE FORMS x m − 2 n AND x 2 − F3n/2 (2007) (0)
STUDY COVERS OF GROUPS VIA CHARACTERS AND NUMBER THEORY (2008) (0)
On the unique representability of spikes over prime fields (2006) (0)
The least modulus for which consecutive polynomial values are distinct (2013) (0)
Dualities for congruences and series (2011) (0)
On sums of cubes of central binomial coefficients (2010) (0)
J an 2 00 6 ON COVERING NUMBERS (2006) (0)
Further results on Hilbert’s Tenth Problem (2020) (0)
On Diophantine equations over $\mathbb Z[i]$ with $52$ unknowns (2020) (0)
Lucas-type congruences for cyclotomic $\psi$-coefficients (2005) (0)
2900 ON SOME DETERMINANTS WITH LEGENDRE SYMBOL ENTRIES (2013) (0)
$\mathbb{Q}\setminus\mathbb{Z}$ is diophantine over $\mathbb{Q}$ with $32$ unknowns (2021) (0)
Proof of three conjectures on congruences (2014) (0)
On the set $\{\pi(kn):\ k=1,2,3,\ldots\}$ (2020) (0)
PROPERTIES OF PRIMES (2014) (0)
AND THE AX-KATZ THEOREM (2006) (0)
SIMPLE ARGUMENTS ON CONSECUTIVE POWER RESIDUES (2003) (0)
Arithmetic properties of Apery numbers and central Dclannoy numbers (2010) (0)
Super congruences involving central binomial coefficients (2008) (0)
N T ] 1 6 Ja n 20 07 Final version for Acta Arith . ON FLECK QUOTIENTS (2007) (0)
CONJECTURES ON CONGRUENCES (2010) (0)
$p$-adic analogues of two ${}_4F_3$ hypergeometric identities and their applications (2019) (0)
Conjectures on sums of primes and triangular numbers (2008) (0)
CURIOUS IDENTITIES AND CONGRUENCES INVOLVING BERNOULLI POLYNOMIALS (2006) (0)
A new result in combinatorial number theory (2016) (0)
ON UNIVERSAL SUMS OF POLYGONAL (2016) (0)
EQUALITIES AND INEQUALITIES RELATED TO COVERS OF Z OR GROUPS (2004) (0)
A novel permanent identity with applications (2022) (0)
q-Analogues of Some Series for Powers of π\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\pi $$\end{document} (2021) (0)
Preprint , arXiv : 1908 . 02155 SOME NEW TRIGONOMETRIC IDENTITIES (2019) (0)
A Refinement of the Hammer-mortenson Congruence (2010) (0)
Some parametric congruences involving generalized central trinomial coefficients (2019) (0)
A new trigonometric identity with applications (2019) (0)
Congruences for generalized central trinomial coefficients (2010) (0)
Binomial coefficients and the p-adic integral ring (2008) (0)
A parametric congruence motivated by Orr's identity (2021) (0)
Preprint ON WEIGHTED ZERO-SUM SEQUENCES (2010) (0)
A CHARACTERIZATION OF COVERING EQUIVALENCE (2004) (0)

This paper list is powered by the following services:

What Schools Are Affiliated With Zhi-wei Sun?

Zhi-wei Sun is affiliated with the following schools:

Tianjin University

Zhi-wei Sun's Academic­Influence.com Rankings

Why Is Zhi-wei Sun Influential?

Zhi-wei Sun's Published Works

Published Works

What Schools Are Affiliated With Zhi-wei Sun?

Zhi-wei Sun's AcademicInfluence.com Rankings