The laplacian operator on a Riemann surface, II

S. J. Patterson

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The laplacian operator on a Riemann surface

S. J. Patterson (1975)

Compositio Mathematica

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The laplacian operator on a Riemann surface, III

S. J. Patterson (1976)

Compositio Mathematica

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New integral representations for the square of the Riemann zeta-function

Andreas Guthmann (1997)

Acta Arithmetica

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Introduction. The recent discovery of an analogue of the Riemann-Siegel integral formula for Dirichlet series associated with cusp forms [2] naturally raises the question whether similar formulas might exist for other types of zeta functions. The proof of these formulas depends on the functional equation for the underlying Dirichlet series. In both cases, for ζ(s) and for the cusp form zeta functions, only a simple gamma factor is involved. The next simplest case arises when two such...