Special values of multiple gamma functions
Journal de théorie des nombres de Bordeaux, Tome 18 (2006) no. 1, pp. 113-123.

Nous donnons une formule de type Chowla-Selberg qui relie une généralisation de la fonction éta à GL(n) avec les fonctions gamma multiples. Nous présentons également quelques identités de produit infinis pour certaines valeurs spéciales de la fonction gamma multiple.

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.

DOI : 10.5802/jtnb.536
Duke, William 1 ; Imamoḡlu, Özlem 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
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Duke, William; Imamoḡlu, Özlem. Special values of multiple gamma functions. Journal de théorie des nombres de Bordeaux, Tome 18 (2006) no. 1, pp. 113-123. doi : 10.5802/jtnb.536. http://www.numdam.org/articles/10.5802/jtnb.536/

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