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Multidimensional extension of the generalized Chowla-Selberg formula - MaRDI portal

Multidimensional extension of the generalized Chowla-Selberg formula (Q1290445)

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Multidimensional extension of the generalized Chowla-Selberg formula
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    Multidimensional extension of the generalized Chowla-Selberg formula (English)
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    2 June 1999
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    It is well known that the functional equation of the theta series of a quadratic form gives the analytic continuation of the corresponding Epstein zeta-function. Written out in detail this classical method gives expressions of the zeta-function in terms of sums of Bessel functions.
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    Epstein zeta-function
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    sums of Bessel functions
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