Some conjectures on congruences

2011/03/28 by Zhi-Hong Sun, Sun, Zhi-Hong · 2 citations
Mathematics · #11A07 (Primary) 05A10 #11B39 #11E25 (Secondary) #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1103.5384

openalex publication_date 2011/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let p be an odd prime. In the paper we collect the author's various conjectures on congruences modulo p or p², which are concerned with sums of binomial coefficients, Lucas sequences, power residues and special binary quadratic forms.

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