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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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Identities involving the coefficients of a class of Dirichlet series. V
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by Bruce C. Berndt PDF
Trans. Amer. Math. Soc. 160 (1971), 139-156 Request permission

Abstract:

We derive various forms of the Voronoï summation formula for a large class of arithmetical functions. These arithmetical functions are generated by Dirichlet series satisfying a functional equation with certain gamma factors. Using our theorems, we establish several arithmetical identities.
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Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 160 (1971), 139-156
  • MSC: Primary 30.24; Secondary 10.00
  • DOI: https://doi.org/10.1090/S0002-9947-71-99991-0