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Sommes de carrés

Jacques Martinet (1970/1971)

Séminaire de théorie des nombres de Bordeaux

Special values of multiple gamma functions

William Duke, Özlem Imamoḡlu (2006)

Journal de Théorie des Nombres de Bordeaux

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.

Spectral Real Semigroups

M. Dickmann, A. Petrovich (2012)

Annales de la faculté des sciences de Toulouse Mathématiques

The notion of a real semigroup was introduced in [8] to provide a framework for the investigation of the theory of (diagonal) quadratic forms over commutative, unitary, semi-real rings. In this paper we introduce and study an outstanding class of such structures, that we call spectral real semigroups (SRS). Our main results are: (i) The existence of a natural functorial duality between the category of SRSs and that of hereditarily normal spectral spaces; (ii) Characterization of the SRSs as the...

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