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• W2950652164 abstract "We give a representation of the classical Riemann $zeta$-function in the half plane $Re s>0$ in terms of a Mellin transform involving the real part of the dilogarithm function with an argument on the unit circle (associated Clausen $Gl_2$-function). We also derive corresponding representations involving the derivatives of the $Gl_2$-function. A generalized symmetrized Muntz-type formula is also derived. For a special choice of test functions it connects to our integral representation of the $zeta$-function, providing also a computation of a concrete Mellin transform. Certain formulae involving series of zeta functions and gamma functions are also derived." @default.
• W2950652164 created "2019-06-27" @default.
• W2950652164 creator A5007922409 @default.
• W2950652164 creator A5047568596 @default.
• W2950652164 date "2011-01-25" @default.
• W2950652164 modified "2023-09-27" @default.
• W2950652164 title "The Riemann zeta in terms of the dilogarithm" @default.
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• W2950652164 hasPublicationYear "2011" @default.
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