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

76 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

Publisher link

10.4007/annals.2004.160.237

Find It

Find It at U of M Libraries

Cite this

@article{9fe734e07c4846608d299c012c1cbdd4,

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",

month = jul,

doi = "10.4007/annals.2004.160.237",

language = "English (US)",

volume = "160",

pages = "237--313",

journal = "Annals of Mathematics",

issn = "0003-486X",

publisher = "Princeton University Press",

number = "1",

}

TY - JOUR

T1 - Determination of the algebraic relations among special Γ-values in positive characteristic

AU - Anderson, Greg W.

AU - Brownawell, W. Dale

AU - Papanikolas, Matthew A.

PY - 2004/7

Y1 - 2004/7

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=15744363264&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=15744363264&partnerID=8YFLogxK

U2 - 10.4007/annals.2004.160.237

DO - 10.4007/annals.2004.160.237

M3 - Article

AN - SCOPUS:15744363264

SN - 0003-486X

VL - 160

SP - 237

EP - 313

JO - Annals of Mathematics

JF - Annals of Mathematics

IS - 1

ER -

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

Abstract

Publisher link

Find It

Other files and links

Fingerprint

Cite this