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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality 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 1.43.

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$p$-adic gamma functions and Dwork cohomology
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by Maurizio Boyarsky PDF
Trans. Amer. Math. Soc. 257 (1980), 359-369 Request permission

Abstract:

The relations of Gross and Koblitz between gauss sums and the p-adic gamma function is reexamined from the point of view of Dwork’s formulation of p-adic cohomology. Some higher dimensional generalizations are proposed.
References
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  • B. Dwork, Bessel functions as $p$-adic functions of the argument, Duke Math. J. 41 (1974), 711–738. MR 387281, DOI 10.1215/S0012-7094-74-04176-3
  • H. Davenport and H. Hasse, Die Nullstellen der Knogruenzzetafunktionen in gewissen zyklischen Fällen, J. Reine Angew. Math. 172 (1934), 151-182.
  • Yasuo Morita, A $p$-adic analogue of the $\Gamma$-function, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 22 (1975), no. 2, 255–266. MR 424762
  • N. Sonine, Bull. Soc. Math. France 9 (1880), 162-166.
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 257 (1980), 359-369
  • MSC: Primary 12B40; Secondary 10Gxx, 12H25
  • DOI: https://doi.org/10.1090/S0002-9947-1980-0552263-1
  • MathSciNet review: 552263