Special values of multiple gamma functions

William Duke[1]; Özlem Imamoḡlu[2]

  • [1] UCLA Mathematics Dept. Box 951555 Los Angeles, CA 90095-1555, USA
  • [2] UCSB Mathematics Dept. Santa Barbara, CA 93106, USA Current address: ETH, Mathematics Dept. CH-8092, Zürich, Switzerland

Journal de Théorie des Nombres de Bordeaux (2006)

  • Volume: 18, Issue: 1, page 113-123
  • ISSN: 1246-7405

Abstract

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We give a Chowla-Selberg type formula that connects a generalization of the eta-function to GL ( n ) with multiple gamma functions. We also present some simple infinite product identities for certain special values of the multiple gamma function.

How to cite

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Duke, William, and Imamoḡlu, Özlem. "Special values of multiple gamma functions." Journal de Théorie des Nombres de Bordeaux 18.1 (2006): 113-123. <http://eudml.org/doc/249633>.

@article{Duke2006,
abstract = {We give a Chowla-Selberg type formula that connects a generalization of the eta-function to $\operatorname\{GL\}(n)$ with multiple gamma functions. We also present some simple infinite product identities for certain special values of the multiple gamma function.},
affiliation = {UCLA Mathematics Dept. Box 951555 Los Angeles, CA 90095-1555, USA; UCSB Mathematics Dept. Santa Barbara, CA 93106, USA Current address: ETH, Mathematics Dept. CH-8092, Zürich, Switzerland},
author = {Duke, William, Imamoḡlu, Özlem},
journal = {Journal de Théorie des Nombres de Bordeaux},
language = {eng},
number = {1},
pages = {113-123},
publisher = {Université Bordeaux 1},
title = {Special values of multiple gamma functions},
url = {http://eudml.org/doc/249633},
volume = {18},
year = {2006},
}

TY - JOUR
AU - Duke, William
AU - Imamoḡlu, Özlem
TI - Special values of multiple gamma functions
JO - Journal de Théorie des Nombres de Bordeaux
PY - 2006
PB - Université Bordeaux 1
VL - 18
IS - 1
SP - 113
EP - 123
AB - We give a Chowla-Selberg type formula that connects a generalization of the eta-function to $\operatorname{GL}(n)$ with multiple gamma functions. We also present some simple infinite product identities for certain special values of the multiple gamma function.
LA - eng
UR - http://eudml.org/doc/249633
ER -

References

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