Zobrazeno 1 - 10
of 111
pro vyhledávání: '"Beukers, Frits"'
In this work, we prove that a sequence arising from modular forms under some prescribed conditions for $\Gamma$ that is $\Gamma_{0}(N)$ or an Atkin--Lehner extension of $\Gamma_{0}(N)$ must satisfy the Lucas congruences modulo any prime. As an implic
Externí odkaz:
http://arxiv.org/abs/2408.16616
Autor:
Beukers, Frits
Many generating series of combinatorially interesting numbers have the property that the sum of the terms of order $
Externí odkaz:
http://arxiv.org/abs/2403.03301
Autor:
Beukers, Frits, Vlasenko, Masha
For differential operators of Calabi-Yau type, Candelas, de la Ossa and van Straten conjecture the appearance of $p$-adic zeta values in the matrix entries of their $p$-adic Frobenius structure expressed in the standard basis of solutions near a MUM-
Externí odkaz:
http://arxiv.org/abs/2302.09603
Autor:
Beukers, Frits
Many interesting combinatorial sequences, such as Ap\'ery numbers and Franel numbers, enjoy the so-called Lucas property modulo almost all primes $p$. Modulo prime powers $p^r$ such sequences have a more complicated behaviour which can be described b
Externí odkaz:
http://arxiv.org/abs/2211.15240
Autor:
Beukers, Frits
Publikováno v:
In Indagationes Mathematicae July 2024 35(4):698-707
Autor:
Beukers, Frits, Vlasenko, Masha
Publikováno v:
Pure and Applied Mathematics Quarterly, Volume 19 (2023), Number 1, pp. 7--44
We show integrality of instanton numbers in several key examples of mirror symmetry. Our methods are essentially elementary, they are based on our previous work in the series of papers called Dwork crystals I, II and III.
Comment: This is a majo
Comment: This is a majo
Externí odkaz:
http://arxiv.org/abs/2109.10427
Autor:
Beukers, Frits, Vlasenko, Masha
Publikováno v:
International Mathematics Research Notices, 2023
This paper is a continuation of our Dwork crystals series. Here we exploit the Cartier operation to prove supercongruences for expansion coefficients of rational functions. In the process it appears that excellent Frobenius lifts are a driving force
Externí odkaz:
http://arxiv.org/abs/2105.14841
Autor:
Beukers, Frits
In this article we give an example of a matrix version of the famous congruence for hypergeometric functions found by Dwork in 'p-adic cycles'.
Comment: 10 pages
Comment: 10 pages
Externí odkaz:
http://arxiv.org/abs/2005.01523
Autor:
Beukers, Frits, Forsgård, Jens
In this paper we explore special values of Gaussian hypergeometric functions in terms of products of Euler $\Gamma$-functions and exponential functions of linear functions of the hypergeometric parameters. They include some classical evaluations, but
Externí odkaz:
http://arxiv.org/abs/2004.08117
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