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Universal Higher Order Bernoulli Numbers and Kummer and Related Congruences

โœ Scribed by Arnold Adelberg


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
146 KB
Volume
84
Category
Article
ISSN
0022-314X

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โœฆ Synopsis


We define higher or arbitrary order universal Bernoulli numbers and higher order universal Bernoulli Hurwitz numbers. We deduce a universal first-order Kummer congruence and a congruence for the higher order universal Bernoulli Hurwitz numbers from Clarke's universal von Staudt theorem. We also establish other Kummer-type congruences for the higher order universal Bernoulli numbers and for the universal No rlund polynomials, generalizing the author's previous work.


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