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September, 2004 Variation of p-adic Newton polygons for L-functions of exponential sums
Daqing Wan
Asian J. Math. 8(3): 427-472 (September, 2004).


In this paper, we continue to develop the systematic decomposition theory [18] for the generic Newton polygon attached to a family of zeta functions over finite fields and more generally a family of L-functions of n-dimensional exponential sums over finite fields. Our aim is to establish a new collapsing decomposition theorem (Theorem 3.7) for the generic Newton polygon. A number of applications to zeta functions and L-functions are given, including the full form of the remaining 3 and 4-dimensional cases of the Adolphson-Sperber conjecture [2], which were left unresolved in [18]. To make the paper more readable and useful, we have included an expanded introductory section as well as detailed examples to illustrate how to use the main theorems.


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Daqing Wan . "Variation of p-adic Newton polygons for L-functions of exponential sums." Asian J. Math. 8 (3) 427 - 472, September, 2004.


Published: September, 2004
First available in Project Euclid: 20 October 2004

zbMATH: 1084.11067
MathSciNet: MR1183982

Rights: Copyright © 2004 International Press of Boston

Vol.8 • No. 3 • September, 2004
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