CONGRUENCES CONCERNING LEGENDRE POLYNOMIALS III-Reference-Cited by-同舟云学术

CONGRUENCES CONCERNING LEGENDRE POLYNOMIALS III

Published:2013-05-07 Issue:04 Volume:09 Page:965-999
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

Suppose that p is an odd prime and d is a positive integer. Let x and y be integers given by p = x2+dy2 or 4p = x2+dy2. In this paper we determine x( mod p) for many values of d. For example, [Formula: see text] where x is chosen so that x ≡ 1 ( mod 3). We also pose some conjectures on supercongruences modulo p2 concerning binary quadratic forms.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042113500097

Reference15 articles.

1. Special Functions

2. Character Sums Linked To Elliptic-Curves With Complex Multiplication

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