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A general family of congruences for Bernoulli numbers

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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… Click to show full 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...

Keywords: bernoulli numbers; general family; family; congruences bernoulli; family congruences

Journal Title: International Journal of Number Theory
Year Published: 2017

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