Twisted Kloosterman Sums and p-adic Bessel Functions, II: Newton Polygons and Analytic Continuation

DOI10.2307/2374611zbMath0633.12007OpenAlexW2331884501MaRDI QIDQ3770629

Alan Adolphson, Steven I. Sperber

Publication date: 1987

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374611

zbMATH Keywords

twisted Kloosterman sumsNewton polygon of the L-functionp-adic Bessel differential equation

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Exponential sums (11T23) Trigonometric and exponential sums (general theory) (11L03) Zeta functions and (L)-functions (11S40) (p)-adic differential equations (12H25)

Related Items (4)

Distinguished-root formulas for generalized Calabi-Yau hypersurfaces ⋮ Hasse invariants and mod \(p\) solutions of \(A\)-hypergeometric systems ⋮ On inverted Kloosterman sums over finite fields ⋮ Exponential sums and \(\ell\)-adic cohomology: A survey.

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