Generalisation of the Kummer congruences

Adelberg generalised Kummer's congruences to the universal Bernoulli numbers. We complete the work he started and give results for all primes. This enables us to obtain a new congruence for the divided <I>Bernoulli</I> <I>numbers. </I>We also produce conjectures based on...

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Bibliographic Details
Main Author: Jones, C. S.
Published: Swansea University 2002
Subjects:
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.637465