Kummer's Original Type Congruence Relation for the Universal Bernoulli Numbers

Mathematics – Number Theory

Scientific paper

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AMS-TeX, 14 pages. Errors in the first version were corrected

Scientific paper

In this paper we give Kummer's original type congruence relation modulo a
prime power for the universal Bernoulli numbers. Although the index of the
power is half of original congruence, this estimate is best possible.

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