EXPONENTIAL SUMS ON 𝔸n. IV-Reference-Cited by-同舟云学术

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EXPONENTIAL SUMS ON 𝔸n. IV

Published:2009-08 Issue:05 Volume:05 Page:747-764
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

ADOLPHSON ALAN¹,SPERBER STEVEN²

Affiliation:

1. Department of Mathematics, Oklahoma State University, Stillwater, Oklahoma 74078, USA

2. School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455, USA

Abstract

We find new conditions on a polynomial over a finite field that guarantee that the exponential sum defined by the polynomial has only one nonvanishing p-adic cohomology group, hence the L-function associated to the exponential sum is a polynomial or the reciprocal of a polynomial.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042109002353

Reference10 articles.

1. Exponential Sums and Newton Polyhedra: Cohomology and Estimates

2. Exponential sums on A n

3. Exponential sums on 𝐀ⁿ, II

4. Exponential sums on A n . III

5. Geometric Aspects of Dwork Theory

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Exponential sums nondegenerate relative to a lattice;Algebra & Number Theory;2009-12-25

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