Determination of the algebraic relations among special Γ-values in positive characteristic

Greg W. Anderson; W. Dale Brownawell; Matthew A. Papanikolas

doi:10.4007/annals.2004.160.237

Determination of the algebraic relations among special Γ-values in positive characteristic

Greg W. Anderson
, W. Dale Brownawell
, Matthew A. Papanikolas

School of Mathematics

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

87 Scopus citations

Abstract

We devise a new criterion for linear independence over function fields. Using this tool in the setting of dual t-motives, we find that all algebraic relations among special values of the geometric Γ-function over double-struck F sign_q[T] are explained by the standard functional equations.

Original language	English (US)
Pages (from-to)	237-313
Number of pages	77
Journal	Annals of Mathematics
Volume	160
Issue number	1
DOIs	https://doi.org/10.4007/annals.2004.160.237
State	Published - Jul 2004

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title = "Determination of the algebraic relations among special Γ-values in positive characteristic",

abstract = "We devise a new criterion for linear independence over function fields. Using this tool in the setting of dual t-motives, we find that all algebraic relations among special values of the geometric Γ-function over double-struck F signq[T] are explained by the standard functional equations.",

author = "Anderson, \{Greg W.\} and Brownawell, \{W. Dale\} and Papanikolas, \{Matthew A.\}",

year = "2004",

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AU - Papanikolas, Matthew A.

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AB - We devise a new criterion for linear independence over function fields. Using this tool in the setting of dual t-motives, we find that all algebraic relations among special values of the geometric Γ-function over double-struck F signq[T] are explained by the standard functional equations.

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DO - 10.4007/annals.2004.160.237

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Determination of the algebraic relations among special Γ-values in positive characteristic

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