On the p -adic continuation of the logarithmic derivative of certain hypergeometric functions

Steven Sperber; Yasutaka Sibuya

Groupe de travail d'analyse ultramétrique (1984-1985)

  • Volume: 12, Issue: 1, page 1-5

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Sperber, Steven, and Sibuya, Yasutaka. "On the $p$-adic continuation of the logarithmic derivative of certain hypergeometric functions." Groupe de travail d'analyse ultramétrique 12.1 (1984-1985): 1-5. <http://eudml.org/doc/91935>.

@article{Sperber1984-1985,
author = {Sperber, Steven, Sibuya, Yasutaka},
journal = {Groupe de travail d'analyse ultramétrique},
keywords = {multiple Kloosterman sums; hypergeometric functions; logarithmic derivative; L-functions; hyper-Kloosterman sums},
language = {eng},
number = {1},
pages = {1-5},
publisher = {Secrétariat mathématique},
title = {On the $p$-adic continuation of the logarithmic derivative of certain hypergeometric functions},
url = {http://eudml.org/doc/91935},
volume = {12},
year = {1984-1985},
}

TY - JOUR
AU - Sperber, Steven
AU - Sibuya, Yasutaka
TI - On the $p$-adic continuation of the logarithmic derivative of certain hypergeometric functions
JO - Groupe de travail d'analyse ultramétrique
PY - 1984-1985
PB - Secrétariat mathématique
VL - 12
IS - 1
SP - 1
EP - 5
LA - eng
KW - multiple Kloosterman sums; hypergeometric functions; logarithmic derivative; L-functions; hyper-Kloosterman sums
UR - http://eudml.org/doc/91935
ER -

References

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  1. [1] Adolphson ( A.) and Sperber ( S.). - Twisted Kloosterman sums and p-adic Bessel functions, Amer. J. of Math., t. 106, 1984, p. 549-591. Zbl0552.12010MR745141
  2. [2] Carpentier ( M.J.). - p-adic cohomology for generalized hyperkloosterman sums, Thesis, University of Minnesota, 1985. 
  3. [3] Dwork ( B.). - p-adic cycles. - Paris, Presses universitaires de France, 1969 (Institut des hautes Etudes scientifiques, Publications mathématiques, 37, p. 27-116. Zbl0284.14008MR294346
  4. [4] Dwork ( B.). - Bessel functions as p-adic functions of the argument, Duke math. J., t. 41, 1974, p. 711-738. Zbl0302.14008MR387281
  5. [5] Dwork ( B. ). - Lectures on p-adic differential equations. - Berlin, Heidelberg, New York, Springer-Verlag, 1982 (Grundlehren der mathematischen Wissenschaften253). Zbl0502.12021MR678093
  6. [6] Sperber ( S.). - p-adic hypergeometric functions and their cohomology, Duke math. J., t. 44, 1977, p. 535-589. Zbl0408.12025MR476750

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