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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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The universal von Staudt theorems
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by Francis Clarke PDF
Trans. Amer. Math. Soc. 315 (1989), 591-603 Request permission

Abstract:

We prove general forms of von Staudt’s theorems on the Bernoulli numbers. As a consequence we are able to deduce strong versions of a number of congruences involving various generalisations of the Bernoulli numbers. For example we obtain an improved form of a congruence due to Hurwitz involving the Laurent series coefficients of the Weierstrass elliptic function associated with a square lattice.
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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 315 (1989), 591-603
  • MSC: Primary 11B68; Secondary 05A19, 12E10, 33A25
  • DOI: https://doi.org/10.1090/S0002-9947-1989-0986687-3
  • MathSciNet review: 986687