Congruences for sums involving Franel numbers-Reference-Cited by-同舟云学术

Congruences for sums involving Franel numbers

Published:2017-11-21 Issue:01 Volume:14 Page:123-142
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Sun Zhi-Hong¹

Affiliation:

1. School of Mathematical Sciences, Huaiyin Normal University, Huaian, Jiangsu 223300, P. R. China

Abstract

Let [Formula: see text] be the Franel numbers given by [Formula: see text], and let [Formula: see text] be a prime. In this paper, we mainly determine [Formula: see text] for [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042118500094

Reference23 articles.

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

2. New analogues of Clausenʼs identities arising from the theory of modular forms

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

4. A telescoping method for double summations

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