The Laplace transform of the fourth moment of the zeta-function
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🧮 math.NT
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complexlaplacetransformcertainexpressionfourthintegrationinvestigated
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The Laplace transform of $|\zeta(1/2+it)|$ is investigated, for which a precise expression is obtained, valid in a certain region in the complex plane. The method of proof is based on complex integration and spectral theory of the non-Euclidean Laplacian.
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