On the L-functions associated with certain exponential sums

Steven I. Sperber

doi:10.1016/0022-314X(80)90047-5

On the L-functions associated with certain exponential sums

Steven I. Sperber

School of Mathematics

Research output: Contribution to journal › Article › peer-review

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Abstract

By use of p-adic analytic methods, we study the L-functions associated to certain exponential sums defined over a finite field. Estimates for the degree of this L-function as rational function are obtained. In an "asymptotic" sense, these estimates are shown to be best possible. Precise determination of the degree is computed in the one-variable case.

Original language	English (US)
Pages (from-to)	141-153
Number of pages	13
Journal	Journal of Number Theory
Volume	12
Issue number	2
DOIs	https://doi.org/10.1016/0022-314X(80)90047-5
State	Published - May 1980

Bibliographical note

Funding Information:
partially supported by National Science Foundation

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10.1016/0022-314X(80)90047-5

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Y1 - 1980/5

N2 - By use of p-adic analytic methods, we study the L-functions associated to certain exponential sums defined over a finite field. Estimates for the degree of this L-function as rational function are obtained. In an "asymptotic" sense, these estimates are shown to be best possible. Precise determination of the degree is computed in the one-variable case.

AB - By use of p-adic analytic methods, we study the L-functions associated to certain exponential sums defined over a finite field. Estimates for the degree of this L-function as rational function are obtained. In an "asymptotic" sense, these estimates are shown to be best possible. Precise determination of the degree is computed in the one-variable case.

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U2 - 10.1016/0022-314X(80)90047-5

DO - 10.1016/0022-314X(80)90047-5

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VL - 12

SP - 141

EP - 153

JO - Journal of Number Theory

JF - Journal of Number Theory

IS - 2

ER -

On the L-functions associated with certain exponential sums

Abstract

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