The Membership Problem for Hypergeometric Sequences with Rational Parameters

Author:

Nosan Klara1,Pouly Amaury2,Shirmohammadi Mahsa1,Worrell James3

Affiliation:

1. Université Paris Cité, CNRS, IRIF, Paris, France

2. Université Paris Cité, CNRS, IRIF & University of Oxford, Paris, France

3. University of Oxford, Oxford, United Kingdom

Funder

European Research Council

Publisher

ACM

Reference19 articles.

1. T. Amdeberhan , L. Medina , and V. Moll . 2007. Asymptotic valuations of sequences satisfying first order recurrences . Proc. Amer. Math. Soc. , Vol. 137 (10 2007 ), 885--890. T. Amdeberhan, L. Medina, and V. Moll. 2007. Asymptotic valuations of sequences satisfying first order recurrences. Proc. Amer. Math. Soc., Vol. 137 (10 2007), 885--890.

2. Y. André . 2004 . Une introduction aux motifs (motifs purs, motifs mixtes, périodes) . Panoramas et Synthèses , Vol. 17 . Société Mathématique de France. Y. André. 2004. Une introduction aux motifs (motifs purs, motifs mixtes, périodes). Panoramas et Synthèses, Vol. 17. Société Mathématique de France.

3. J. Bell , S. Burris , and K. Yeats . 2011. On the set of zero coefficients of a function satisfying a linear differential equation . Mathematical Proceedings of the Cambridge Philosophical Society , Vol. 153 (05 2011 ), 235--247. J. Bell, S. Burris, and K. Yeats. 2011. On the set of zero coefficients of a function satisfying a linear differential equation. Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 153 (05 2011), 235--247.

4. Explicit bounds for primes in arithmetic progressions

5. On gamma quotients and infinite products

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Fuchsian holonomic sequences;Applicable Algebra in Engineering, Communication and Computing;2023-09-24

2. The Membership Problem for Hypergeometric Sequences with Quadratic Parameters;Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation;2023-07-24

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