A character sum evaluation and Gaussian hypergeometric series

J. Greene; D. Stanton

doi:10.1016/0022-314X(86)90009-0

A character sum evaluation and Gaussian hypergeometric series

J. Greene
, D. Stanton

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

28 Scopus citations

Abstract

Evans has conjectured the value of a certain character sum. The conjecture is confirmed using properties of Gaussian hypergeometric series which are well known for hypergeometric series. Several related questions are discussed.

Original language	English (US)
Pages (from-to)	136-148
Number of pages	13
Journal	Journal of Number Theory
Volume	23
Issue number	1
DOIs	https://doi.org/10.1016/0022-314X(86)90009-0
State	Published - May 1986

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Funding Information:
* Partially supported by NSF Grant ~CS-83~872.

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10.1016/0022-314X(86)90009-0

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title = "A character sum evaluation and Gaussian hypergeometric series",

abstract = "Evans has conjectured the value of a certain character sum. The conjecture is confirmed using properties of Gaussian hypergeometric series which are well known for hypergeometric series. Several related questions are discussed.",

author = "J. Greene and D. Stanton",

note = "Funding Information: * Partially supported by NSF Grant \textasciitilde{}CS-83\textasciitilde{}872.",

year = "1986",

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doi = "10.1016/0022-314X(86)90009-0",

language = "English (US)",

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AU - Stanton, D.

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N2 - Evans has conjectured the value of a certain character sum. The conjecture is confirmed using properties of Gaussian hypergeometric series which are well known for hypergeometric series. Several related questions are discussed.

AB - Evans has conjectured the value of a certain character sum. The conjecture is confirmed using properties of Gaussian hypergeometric series which are well known for hypergeometric series. Several related questions are discussed.

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DO - 10.1016/0022-314X(86)90009-0

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A character sum evaluation and Gaussian hypergeometric series

Abstract

Bibliographical note

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