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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Swansea University
2002
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ndltd-bl.uk-oai-ethos.bl.uk-6374652015-03-20T05:33:02ZGeneralisation of the Kummer congruencesJones, C. S.2002Adelberg 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 computer evidence which open up areas for further research. Finally we apply our methods to the <I>universal Bernoulli-Hurwitz numbers </I>and prove similar results for them.530.1Swansea University http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.637465Electronic Thesis or Dissertation |
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NDLTD |
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NDLTD |
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530.1 |
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530.1 Jones, C. S. Generalisation of the Kummer congruences |
| description |
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 computer evidence which open up areas for further research. Finally we apply our methods to the <I>universal Bernoulli-Hurwitz numbers </I>and prove similar results for them. |
| author |
Jones, C. S. |
| author_facet |
Jones, C. S. |
| author_sort |
Jones, C. S. |
| title |
Generalisation of the Kummer congruences |
| title_short |
Generalisation of the Kummer congruences |
| title_full |
Generalisation of the Kummer congruences |
| title_fullStr |
Generalisation of the Kummer congruences |
| title_full_unstemmed |
Generalisation of the Kummer congruences |
| title_sort |
generalisation of the kummer congruences |
| publisher |
Swansea University |
| publishDate |
2002 |
| url |
http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.637465 |
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AT jonescs generalisationofthekummercongruences |
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