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Représentation De Gelfand-Graev et Identités De Barnes Le Cas De GL2 D'Un Corps Fini
Gaussian sums over finite fields and gamma functions
Sur l’indice de Schur des représentations de GL(n,F q )
Gamma-function and Gaussian-sum-function
Institute of Mathematics of the Academy of Sciences of the Czech Republic provides access to digi... more Institute of Mathematics of the Academy of Sciences of the Czech Republic provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use. This paper has been digitized, optimized for electronic delivery and stamped with digital signature within the project DML-CZ: The Czech Digital Mathematics Library http://project.dml.cz ON THE STRUCTURE CONSTANTS OF CERTAIN HECKE ALGEBRAS by-Anna Helversen-Pasotto CONTENTS Introduction SI.-Hecke algebras and their structure constants §2.-Examples §3.-The commuting algebra of the Gelfand-Graev representation of the finite group GL(2,F) §4.-Some analogues of Barnes' identity for Gaussian sums over finite fields
Serie discrete de GL(3,F q ) et sommes de Gauss
L’identite de Barnes pour les corps finis
Canadian Mathematical Bulletin, 1993
We give a parallel proof of Barnes' first lemma and of its finite analogue. In both cases we ... more We give a parallel proof of Barnes' first lemma and of its finite analogue. In both cases we use the Mellin transform. In the classical case, the proof avoids the residue theorem. In the finite case the Gamma function is replaced by the Gaussian sum function and the beta function by the Jacobi sum function.
Character Sum Identities in Analogy with Special Functions Identities
Advances in Mathematics
Character Sum Identities in Analogy with Special Functions Identities
Advances in Mathematics, 1997
Darstellungen von GL(3, F q ) und Gaußsche Summen
Mathematische Annalen, 1982
Représentation De Gelfand-Graev et Identités De Barnes Le Cas De GL2 D'Un Corps Fini
Gaussian sums over finite fields and gamma functions
Sur l’indice de Schur des représentations de GL(n,F q )
Gamma-function and Gaussian-sum-function
Institute of Mathematics of the Academy of Sciences of the Czech Republic provides access to digi... more Institute of Mathematics of the Academy of Sciences of the Czech Republic provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use. This paper has been digitized, optimized for electronic delivery and stamped with digital signature within the project DML-CZ: The Czech Digital Mathematics Library http://project.dml.cz ON THE STRUCTURE CONSTANTS OF CERTAIN HECKE ALGEBRAS by-Anna Helversen-Pasotto CONTENTS Introduction SI.-Hecke algebras and their structure constants §2.-Examples §3.-The commuting algebra of the Gelfand-Graev representation of the finite group GL(2,F) §4.-Some analogues of Barnes' identity for Gaussian sums over finite fields
Serie discrete de GL(3,F q ) et sommes de Gauss
L’identite de Barnes pour les corps finis
Canadian Mathematical Bulletin, 1993
We give a parallel proof of Barnes' first lemma and of its finite analogue. In both cases we ... more We give a parallel proof of Barnes' first lemma and of its finite analogue. In both cases we use the Mellin transform. In the classical case, the proof avoids the residue theorem. In the finite case the Gamma function is replaced by the Gaussian sum function and the beta function by the Jacobi sum function.
Character Sum Identities in Analogy with Special Functions Identities
Advances in Mathematics
Character Sum Identities in Analogy with Special Functions Identities
Advances in Mathematics, 1997
Darstellungen von GL(3, F q ) und Gaußsche Summen
Mathematische Annalen, 1982