Frits Beukers

Q: What Schools Are Affiliated With Frits Beukers

Frits Beukers is affiliated with the following schools: Utrecht University, Leiden University

Frits Beukers's AcademicInfluence.com Rankings

Frits Beukers

Mathematics

#2404

World Rank

#3724

Historical Rank

Measure Theory

#2941

World Rank

#3494

Historical Rank

mathematics Degrees

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Mathematics

Frits Beukers's Degrees

PhD Mathematics Utrecht University

Why Is Frits Beukers Influential?

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According to Wikipedia, Frits Beukers is a Dutch mathematician, who works on number theory and hypergeometric functions. In 1979 Beukers received his PhD at Leiden University under the direction of Robert Tijdeman with thesis The generalized Ramanujan–Nagell Equation, published in Acta Arithmetica, vol. 38, 1980/1981. From 1979 to 1980 he was a visiting scholar at the Institute for Advanced Study. He became a professor in Leiden and in the 2000s at Utrecht University.

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Frits Beukers'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

SPECIAL FUNCTIONS (Encyclopedia of Mathematics and its Applications 71) (2001) (875)
A Note on the Irrationality of ζ(2) and ζ(3) (1979) (276)
Monodromy for the hypergeometric functionnFn−1 (1989) (263)
On the Picard-Fuchs equation and the formal brauer group of certain ellipticK3-surfaces (1985) (167)
Another congruence for the Apéry numbers (1987) (124)
Some Congruences for the Apery Numbers (1985) (115)
The equation x+y=1 in finitely generated groups (1996) (81)
On the generalized Ramanujan-Nagell equation I (1981) (71)
Gauss’ Hypergeometric Function (2007) (65)
Encyclopaedia of Mathematics, Supplement III (2002) (59)
The Diophantine equation $Ax^p+By^q=Cz^r$ (1998) (57)
A refined version of the Siegel-Shidlovskii theorem (2004) (57)
On Dwork's accessory parameter problem (2002) (54)
One symmetry does not imply integrability (1998) (54)
A family of K3 surfaces and ζ(3). (1984) (54)
Unital embedding and complexification ofF-algebras (1983) (51)
Algebraic A-hypergeometric functions (2008) (43)
Lamé equations with algebraic solutions (2004) (41)
Monodromy of A-hypergeometric functions (2011) (40)
Cyclotomic points on curves (2001) (39)
Zeeman's monotonicity conjecture (1998) (34)
On Integrability of Systems of Evolution Equations (2001) (31)
Irreducibility of polynomials and arithmetic progressions with equal products of terms (2012) (29)
On a sequence of polynomials (1997) (28)
Differential Galois Theory (1992) (28)
The zero-multiplicity of ternary recurrences (1991) (27)
Number Theory and Polynomials: Explicit calculation of elliptic fibrations of K 3-surfaces and their Belyi-maps (2008) (24)
Irreducibility of A-hypergeometric systems (2010) (23)
Legendre polynomials in irrationality proofs (1980) (22)
Algebraic values of G-functions. (1993) (22)
Fractional parts of powers of rationals (1981) (22)
Finite hypergeometric functions (2015) (21)
The multiplicity of binary recurrences (1980) (20)
On the multiplicities of binary complex recurrences (1984) (20)
New Advances in Transcendence Theory: Algebraic values of hypergeometric functions (1988) (19)
The lattice-points of n-dimensional tetrahedra (1975) (18)
Irrationality proofs using modular forms (2019) (17)
Algebraic solutions of the Lamé equation (2002) (17)
Calculus in f-algebras (1984) (17)
A rational approach to Pi (2000) (17)
Ternary Form Equations (1995) (16)
Hypergeometric functions, how special are they? (2014) (15)
Lower bounds of heights of points on hypersurfaces (1997) (14)
Dwork Crystals I (2019) (14)
Explicit methods in number theory. Rational points and Diophantine equations. (2012) (14)
The complex geometry of the spherical pendulum (2001) (14)
Dwork Crystals II (2019) (12)
Irrationality of some p-adic L-values (2006) (11)
The maximal differential ideal is generated by its invariants (2000) (11)
Remarks on the arithmetic properties of the values of hypergeometric functions (1983) (10)
Duality relations for hypergeometric series (2014) (10)
Consequences of Apéry’s work on ζ(3) (2003) (9)
New Advances in Transcendence Theory: Some new results on algebraic independence of E -functions (1988) (9)
Gauss congruences for rational functions in several variables (2017) (8)
An implementation of Runge's method for Diophantine equations (2005) (8)
An alternative proof of the Lindemann-Weierstrass theorem (1990) (7)
Fibrations of K3-surfaces and Belyi-maps (2006) (7)
Integral points on cubic surfaces (1999) (7)
Notes on differential equations and hypergeometric functions ( NOT for publication ) (2009) (6)
Addendum to " Neighboring powers" [J. Number Theory 130 (3) (2010) 660-679] (2010) (5)
Geodesic continued fractions and LLL (2013) (5)
Hypergeometric functions in one variable (2008) (5)
A linear algebra exercise (2002) (5)
Fields of Definition of Finite Hypergeometric Functions (2018) (4)
Congruence properties of coefficients of solutions of Picard/Fuchs equations (1986) (4)
Unitary monodromy of Lamé differential operators (2007) (3)
On oranges and integral points on certain plane cubic curves (1988) (3)
Dyson's lemma without tears (1991) (3)
Some supercongruences of arbitrary length (2018) (3)
A rational approach to Pi, Notes of a lecture held on the occasion of Pi-day on July 5, 2000 in Leiden (2000) (2)
Power Values of Divisor Sums (2012) (2)
The generalized Fermat equation (2006) (2)
A-hypergeometric functions: computational aspects (2012) (2)
DWORK CRYSTALS III: SUPERCONGRUENCES (2021) (2)
Journal of Number Theory Neighboring powers (2010) (2)
Hall's conjecture (2002) (2)
$$\Gamma $$-evaluations of hypergeometric series (2020) (1)
A one-sided power sum inequality (2011) (1)
Preface to the special issue on automatic sequences, number theory, and aperiodic order (2017) (1)
Diophantine Equations and Approximation (1993) (1)
E-functions and G-functions (2008) (1)
One-sided power sum and cosine inequalities (2013) (1)
Dwork crystals III: from excellent Frobenius lifts towards supercongruences (2021) (1)
$p$-Linear schemes for sequences modulo $p^r$ (2022) (1)
Diophantine Equations 2 Mordell's Equation 2.1 Introduction (0)
N T ] 2 0 Ju n 20 06 Irrationality of some p-adic L-values (2006) (0)
ALGEBRA, ARITHMETIC AND COMBINATORICS OF DIFFERENTIAL AND DIFFERENCE EQUATIONS (2018) (0)
The MEGA-cake problem (2007) (0)
Seminar hypergeometric functions (1994) (0)
1 O ct 2 01 7 Gauss congruences for rational functions in several variables (2018) (0)
Algebraic Solutions of the Lame Equation (Diophantine Problems and Analytic Number Theory) (2003) (0)
TRANSCENDENTAL NUMBER THEORY (De Gruyter Studies in Mathematics 12) (1991) (0)
Middaglezing Pi in de Pieterskerk (2012) (0)
Algebraic number theory (2011) (0)
0 -evaluations of hypergeometric series (2022) (0)
A Matrix Version of Dwork’s Congruences (2020) (0)
Some supercongruences of arbitary length (2022) (0)
Factorisation of Polynomials (1999) (0)
Chapter 3. Lattice Reduction (1999) (0)
On $p$-integrality of instanton numbers (2021) (0)
A Counting Proof for When 2 Is a Quadratic Residue (2020) (0)
Book Review: Numerical analysis: A first course in scientific computation (1996) (0)
Riemann's zetafunction and its relatives (2001) (0)
The Siegel-shidlovskii Theorem Revisited (2008) (0)
NOTES ON IRRATIONALITY AND TRANSCENDENCE (2007) (0)
G-FUNCTIONS(Special Differential Equations) (1991) (0)

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What Schools Are Affiliated With Frits Beukers?

Frits Beukers is affiliated with the following schools:

Frits Beukers's Academic­Influence.com Rankings