CONGRUENCES SATISFIED BY APÉRY-LIKE NUMBERS-Reference-Cited by-同舟云学术

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CONGRUENCES SATISFIED BY APÉRY-LIKE NUMBERS

Published:2010-02 Issue:01 Volume:06 Page:89-97
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

CHAN HENG HUAT¹,COOPER SHAUN²,SICA FRANCESCO³

Affiliation:

1. Department of Mathematics, National University of Singapore, Block S17, 10, Lower Kent Ridge Road, 119076, Singapore

2. Institute of Information and Mathematical Sciences, Massey University, Private Bag 102904, North Shore Mail Centre, Auckland, New Zealand

3. Mathematics and Computer Science, Mount Allison University, 67 York Street, Sackville, NB, E4L 1E6, Canada

Abstract

In this article, we investigate congruences satisfied by Apéry-like numbers.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042110002879

Reference8 articles.

1. G. Almkvist and W. Zudilin, Mirror Symmetry. V, AMS/IP Stud. Adv. Math 38 (Amer Math Soc., Providence, RI, 2006) pp. 481–515.

2. Domb's numbers and Ramanujan–Sato type series for 1/π

3. Powers of theta functions

4. The Apéry numbers, the Almkvist-Zudilin numbers and new series for $1/\pi$

5. Congruence properties of apèry numbers

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1. Gessel–Lucas congruences for sporadic sequences;Monatshefte für Mathematik;2023-08-31

2. Congruences Involving Hecke-Rogers Type Series and Modular Forms;Journal of Mathematical Study;2023-06

3. Some conjectural supercongruences related to Bernoulli and Euler numbers;Rocky Mountain Journal of Mathematics;2022-06-01

4. Ramanujan-Type Supercongruences Involving Almkvist–Zudilin Numbers;Results in Mathematics;2022-02-05

5. New Representations for all Sporadic Apéry-Like Sequences, With Applications to Congruences;Experimental Mathematics;2021-10-26

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