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Title: Generalisation of the Kummer congruences
Author: Jones, C. S.
Awarding Body: University of Wales Swansea
Current Institution: Swansea University
Date of Award: 2002
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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 Bernoulli numbers. We also produce conjectures based on computer evidence which open up areas for further research. Finally we apply our methods to the universal Bernoulli-Hurwitz numbers and prove similar results for them.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available