Values of Dirichlet series associated with modular forms at the points S=1/2, 1 |
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Authors: | E P Golubeva O M Fomenko |
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Abstract: | Let denote a parabolic form of even weights k which is an eigenfunction of all Hecke operators, and let be a real character. It is known that the Dirichlet series satisfies a functional equation of the Riemann type for. A number of asymptotic results on Lf(1/2,), Lf(1,) for d are proved.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 134, pp. 117–137, 1984. |
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