János Pintz

János Pintz's AcademicInfluence.com Rankings

János Pintz

Mathematics

#8242

World Rank

#11190

Historical Rank

Number Theory

#360

World Rank

#451

Historical Rank

Measure Theory

#3508

World Rank

#4138

Historical Rank

mathematics Degrees

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Mathematics

János Pintz's Degrees

PhD Mathematics Eötvös Loránd University

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János Pintz'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

The Difference Between Consecutive Primes, II (2001) (464)
Primes in tuples I (2005) (241)
The di erence between consecutive primes (1996) (128)
A Lower Bound for Heilbronn'S Problem (1982) (118)
On a new method of analysis and its applications (1984) (115)
Extremal Uncrowded Hypergraphs (1982) (90)
New equidistribution estimates of Zhang type (2014) (78)
On sets of natural numbers whose difference set contains no squares (1988) (69)
Small gaps between products of two primes (2006) (69)
Primes in tuples II (2007) (68)
Very Large Gaps between Consecutive Primes (1997) (67)
On the Exceptional Set for Goldbach's Problem in Short Intervals (1993) (64)
Small gaps between primes exist (2005) (52)
The distribution of square-free numbers (1983) (52)
SMALL GAPS BETWEEN PRIMES OR ALMOST PRIMES (2005) (51)
Landau’s problems on primes (2009) (45)
On Heilbronn's Triangle Problem (1981) (40)
On Linnik’s approximation to Goldbach’s problem. II (2020) (39)
Construction of a thin set with small fourier coefficients (1990) (37)
Cramér vs. Cramér. On Cramér's probabilistic model for primes (2007) (35)
Elementary methods in the theory of L-functions (1976) (34)
A note on Romanov's constant (2006) (34)
A smoothed GPY sieve (2006) (32)
Primes in short intervals (1984) (31)
Squares in arithmetic progressions (1992) (30)
Elementary methods in the theory of L-functions, II. On the greatest real zero of a real L-function (1976) (29)
Bombieri's theorem in short intervals. II (1985) (29)
Polignac Numbers, Conjectures of Erdős on Gaps Between Primes, Arithmetic Progressions in Primes, and the Bounded Gap Conjecture (2013) (28)
Oscillatory properties of arithmetical functions. I (1986) (23)
Sieve Methods, Exponential Sums, and their Applications in Number Theory: The Exceptional Set for Goldbach's Problem in Short Intervals (1997) (22)
On the remainder term of the prime number formula II; On a theorem of Ingham (1980) (21)
The exceptional set for the sum of a prime and a square (1989) (21)
On the remainder term of the prime number formula I. On a problem of Littlewood (1980) (19)
Oscillation of Mertens' product formula (2009) (18)
Oscillatory properties of arithmetical functions. II (1986) (18)
Small gaps between almost primes, the parity problem, and some conjectures of Erdős on consecutive integers II (2008) (17)
PRIMES IN TUPLES III: On the difference pn+ν − pn (17)
Primes in tuples IV: Density of small gaps between consecutive primes (2011) (17)
A note on the exceptional set for Goldbach's problem in short intervals (1993) (15)
Elementary methods in the theory of L-functions, III. The Deuring phenomenon (1976) (15)
Elementary methods in the theory of L-functions, VI. On the least prime quadratic residue (mod p) (1977) (14)
Infinite sets of primes with fast primality tests and quick generation of large primes (1989) (13)
Are there arbitrarily long arithmetic progressions in the sequence of twin primes? II (2010) (13)
The path to recent progress on small gaps between primes (2005) (13)
Hardy-Littlewood Numbers in Short Intervals (1995) (13)
The distribution ofr-free numbers (1989) (12)
Elementary methods in the theory of L-functions, VII. Upperbound for L(1,χ) (1977) (12)
ON THE OPTIMAL WEIGHT FUNCTION IN THE GOLDSTON-PINTZ-YILDIRIM METHOD FOR FINDING SMALL GAPS BETWEEN CONSECUTIVE PRIMES (2013) (12)
On the remainder term of the prime number formula and the zeros of Riemann’s zeta-function (1984) (11)
An effective disproof of the Mertens conjecture (2019) (11)
Positive Proportion of Small Gaps Between Consecutive Primes (2011) (11)
On the exceptional set for the $2k$-twin primes problem (1992) (10)
Primes in tuples III: On the difference {$p_{n + \nu}- p_n$} (2006) (10)
Elementary methods in the theory of L-functions, VIII. Real zeros of real L-functions (1977) (10)
Patterns of Primes in Arithmetic Progressions (2015) (10)
Elementary methods in the theory of L-functions, IV. The Heilbronn phenomenon (1976) (9)
Some new density theorems for Dirichlet $L$-functions (2018) (9)
On the Ratio of Consecutive Gaps Between Primes (2014) (9)
On the distribution of gaps between consecutive primes (2014) (9)
On the sum of two primes and k powers of two (2007) (9)
An approximation to the twin prime conjecture and the parity phenomenon (2010) (8)
Oscillatory properties of the remainder term of the prime number formula (1983) (8)
Elementary methods in the theory of L-functions. IX. Density theorems (1988) (8)
On Legendre's Prime Number Formula (1980) (8)
Quadratic residues and the distribution of prime numbers (1980) (8)
Two infinite sets of primes with fast primality tests (1988) (7)
Patterns of primes (2010) (7)
Oscillatory properties of $M(x) = \sum_{n≤x} μ(n)$, III (1982) (7)
Elementary methods in the theory of L-functions, V. The theorems of Landau and Page (1977) (7)
A note on the distribution of normalized prime gaps (2015) (7)
Partitions of planar sets into small triangles (1985) (6)
Numbers with a Large Prime Factor IV (1983) (6)
On Siegel's theorem (1974) (6)
Corrigendum to the paper "Elementary methods in the theory of L-functions, VII. Upper bound for L(1,χ)" (1977) (6)
Paul Erdős and the Difference of Primes (2013) (6)
On an assertion of Riemann concerning the distribution of prime numbers (1991) (5)
NUMBERS WITH A LARGE PRIME FACTOR III (1983) (5)
A note on the distribution of primes in short intervals (1984) (4)
A note on bounded gaps between primes (2013) (4)
Irregularities in the distribution of primes in arithmetic progressions II (1984) (4)
Corrigendum of a note on the exceptional set for Goldbach's problem in short intervals (1995) (4)
On the singular series in the prime k-tuple conjecture (2010) (4)
Some new results on gaps between consecutive primes (2013) (4)
A new explicit formula in the additive theory of primes with applications I. The explicit formula for the Goldbach and Generalized Twin Prime Problems (2018) (3)
Prime numbers in short intervals (1985) (3)
A new explicit formula in the additive theory of primes with applications II. The exceptional set in Goldbach's problem (2018) (3)
On the comparative theory of primes (1984) (3)
SMALL GAPS BETWEEN PRIMES II ( PRELIMINARY ) (2005) (3)
Irregularities in the distribution of primes in arithmetic progressions, I. (1984) (3)
The Bounded Gap Conjecture and bounds between consecutive Goldbach numbers (2012) (3)
On the Mean Value of Arithmetic Error Terms (2022) (3)
Some consequences of the General Riemann Hypothesis in the comparative theory of primes (1986) (2)
On the running time of the Adleman--Pomerance--Rumely primality test (2000) (2)
Approximations to the Goldbach and twin prime problem and gaps between consecutive primes (2007) (2)
On the mean value of the remainder term of the prime number formula (1985) (2)
Bombieri ’ s theorem in short intervals (2018) (2)
Number Theory, Analysis, and Combinatorics: Proceedings of the Paul Turan Memorial Conference held August 22-26, 2011 in Budapest (2013) (2)
Corrigendum: Small gaps between products of two primes (2013) (1)
On the density theorem of Halász and Turán (2022) (1)
Accumulation theorems for primes in arithmetic progressions (1985) (1)
On the difference of primes (2012) (1)
Are there arbitrarily long arithmetic progressions in the sequence of twin primes? II (2012) (1)
On the Sign Changes of [xxx] (1981) (1)
Small gaps between primes 1 2 (2014) (0)
On a Conjecture of Erdős, Pólya and Turán on Consecutive Gaps Between Primes (2018) (0)
PRIMES IN TUPLES I 1 Primes in Tuples I (0)
Paul Turán – A Capsule Biography (2013) (0)
Distribution of zeta zeros and the oscillation of the error term of the prime number theorem (2017) (0)
On the density theorem of Halász and Turán (2022) (0)
Rényi 100, Quantitative and qualitative (in)dependence (2021) (0)
PRIMES IN TUPLES III: On the diﬀerence p n + ν p (2008) (0)
Gaps between primes (2019) (0)
List of contributing authors (2013) (0)
On a conjecture of Erd\H{O}s, P\'olya and Tur\'an on consecutive gaps between primes (2015) (0)
The Average-Case Area of Heilbronn-Type Triangles∗ (2013) (0)
1 4 M ay 2 00 5 Small Gaps between Primes Exist (0)
On small gaps between primes and almost prime powers (2010) (0)
On Paul Turán's work in Number Theory (1981) (0)
ON THE WEIGHT FUNCTION IN GPY FOR SMALL GAPS BETWEEN PRIMES 3 In the number theory construction of Goldston – Pintz – Yıldırım (2014) (0)
Distribution of zeta zeros and the oscillation of the error term of the prime number theorem (2017) (0)
On a Conjecture of Erdős, Pólya and Turán on Consecutive Gaps Between Primes (2018) (0)

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Published Works

János Pintz's AcademicInfluence.com Rankings