Another Family of q-Congruences Modulo the Square of a Cyclotomic Polynomial
Sign Up to like & getrecommendations! Published in 2021 at "Results in Mathematics"
DOI: 10.1007/s00025-021-01423-4
Abstract: Using Bailey’s $$_{10}\phi _9$$ 10 ϕ 9 transformation formula, we prove a family of q -congruences modulo the square of a cyclotomic polynomial, which were previously observed by the author and Zudilin (J Math Anal… read more here.
Keywords: modulo square; cyclotomic polynomial; square cyclotomic; family congruences ... See more keywords
A general family of congruences for Bernoulli numbers
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Number Theory"
DOI: 10.1142/s1793042118501129
Abstract: We prove a general family of congruences for Bernoulli numbers whose index is a polynomial function of a prime, modulo a power of that prime. Our family generalizes many known results, including th... read more here.
Keywords: bernoulli numbers; general family; family; congruences bernoulli ... See more keywords