Gebruikersprofielen voor "Beukers, F. "

Frits Beukers

Emeritus professor of Mathematics, Utrecht University, Netherlands
Geverifieerd e-mailadres voor uu.nl
Geciteerd door 4342

[PDF][PDF] A note on the irrationality of ζ (2) and ζ (3)

F Beukers - Bulletin of the London Mathematical Society, 1979 - Citeseer
At the" Journees Arithmetiques" held at Marseille-Luminy in June 1978, R. Apery confronted
his audience with a miraculous proof for the irrationality of ((3)= l~ 3+ 2~ 3+ 3~ 3+.... The …

Another congruence for the Apéry numbers

F Beukers - Journal of Number Theory, 1987 - Elsevier
Another Congruence for the Apkry Numbers Page 1 JOURNAL OF NUMBER THEORY 25,
201-210 (1987) Another Congruence for the Apkry Numbers F. BEUKERS ’ Mathematisch …

Some congruences for the Apéry numbers

F Beukers - Journal of Number Theory, 1985 - Elsevier
Some Congruences for the Apery Numbers Page 1 JOURNAL OF NUMBER THEORY 21,
141-155 (1985) Some Congruences for the Apery Numbers F. BEUKERS Mathematisch …

[PDF][PDF] The equation x+ y= 1 in finitely generated groups

F Beukers, HP Schlickewei - Acta Arithmetica, 1996 - eudml.org
S un itsin n la.. g eb r ic.. u.. mb.. r.. ld K period Her S.. as.. s.. um ed o.. b.. a fint esto pa es f
K inc ud ing a ll nfi it eons period Supps ing tha td= open square bracket K: Q closing square …

[BOEK][B] From number theory to physics

M Waldschmidt, P Moussa, JM Luck, C Itzykson… - 1992 - Springer
The present book contains fourteen expository contributions on various topics connected to
Number Theory, or Arithmetics, and its relationships to Theoreti cal Physics. The first part is …

The Diophantine equation

F Beukers - 1998 - projecteuclid.org
Axp-F Byq-F Cz 0, gcd (x, y, z)= l, xyzvO,(F) in the unknowns x, y, ze Z. It was proved by Darmon
andGranville in 1993 [DG] that if l/p+ 1/q+ 1/r< 1, then (F) has finitely many solutions. We …

[PDF][PDF] Monodromy for the hypergeometric function n F n −1

F Beukers, G Heckman - Inventiones mathematicae, 1989 - math.uchicago.edu
The case n= 2 corresponds to the expression (1.1) IT]. It is the solution of a linear differential
equation on] PI (112) of order n with regular singularities at the points z= 0, 1, oo (see (2.5) …

Siegel normality

F Beukers, WD Brownawell, G Heckman - Annals of Mathematics, 1988 - JSTOR
A famous theorem of Lindemann and Weierstrass (1885) states that for any set of Q-linearly
independent algebraic numbers a,..., an, the numbers eal,..., ean are algebraically …

Gauss' hypergeometric function

F Beukers - … Around Hypergeometric Functions: Lecture Notes of a …, 2007 - Springer
Gauss’ Hypergeometric Function Page 1 Progress in Mathematics, Vol. 260, 23–42 c© 2007
Birkhäuser Verlag Basel/Switzerland Gauss’ Hypergeometric Function Frits Beukers Abstract …

A refined version of the Siegel-Shidlovskii theorem

F Beukers - Annals of mathematics, 2006 - JSTOR
Using Y. André's result on differential equations satisfied by E-functions, we derive an
improved version of the Siegel-Shidlovskii theorem. It gives a complete characterisation of …