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Central values of generalized multiple sine functions
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Kazuhiro Onodera
Published/Copyright:
September 3, 2009
Abstract
We give a nontrivial estimate of the central value of the generalized multiple sine function by a new integral expression of its logarithm. Moreover, when all the periods coincide with 1, we show relations between the central values of the generalized multiple sine functions and the special values of the Riemann zeta function.
Received: 2007-01-01
Revised: 2008-03-01
Published Online: 2009-09-03
Published in Print: 2009-November
© de Gruyter 2009
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Articles in the same Issue
- A Hopf theorem for open surfaces in product spaces
- On R. Steinberg's theorem on algebras of coinvariants
- Natural pseudo-distances between closed curves
- Clifford semigroups of ideals in monoids and domains
- Lp norm estimates of eigenfunctions restricted to submanifolds
- Central values of generalized multiple sine functions
- Lp-independence of spectral bounds of non-local Feynman-Kac semigroups
- On pairwise mutually permutable products
- The block structure spaces of real projective spaces and orthogonal calculus of functors II
- Erratum to: “Intrinsic ultracontractivity for non-symmetric Lévy processes” [Forum Math. 21 (2009) 43–66]
