IDENTITIES AND CONGRUENCES FOR A NEW SEQUENCE-Reference-Cited by-同舟云学术

IDENTITIES AND CONGRUENCES FOR A NEW SEQUENCE

Published:2012-02 Issue:01 Volume:08 Page:207-225
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 223001, P. R. China

Abstract

Let [x] be the greatest integer not exceeding x. In the paper we introduce the sequence {Un} given by U0 = 1 and [Formula: see text], and establish many recursive formulas and congruences involving {Un}.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042112500121

Reference10 articles.

1. Dynamical zeta functions and Kummer congruences

2. Generalized Fermat, double Fermat and Newton sequences

3. Formulas and Theorems for the Special Functions of Mathematical Physics

4. After Kummer, a New Light

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