Special values of multiple gamma functions
Copyright policy )Special values of multiple gamma functions
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.
- University of California, Los Angeles United States
- ETH Zurich Switzerland
Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas), Fourier coefficients of automorphic forms, Analytic theory (Epstein zeta functions; relations with automorphic forms and functions), Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, Hurwitz and Lerch zeta functions, Gamma, beta and polygamma functions
Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas), Fourier coefficients of automorphic forms, Analytic theory (Epstein zeta functions; relations with automorphic forms and functions), Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, Hurwitz and Lerch zeta functions, Gamma, beta and polygamma functions
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