A general family of congruences for Bernoulli numbers
classification
🧮 math.NT
keywords
familybernoullicongruencesgeneralnumbersprimecongruencefunction
read the original 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 the von Staudt--Clausen theorem and Kummer's congruence.
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