A Tauberian theorem for increasing functions of dominated variation.
Rogozin, B.A. (2002)
Sibirskij Matematicheskij Zhurnal
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A Tauberian theorem for increasing functions of dominated variation.
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Introduction. The vanishing orders of L-functions at the centers of their functional equations are interesting objects to study as one sees, for example, from the Birch-Swinnerton-Dyer conjecture on the Hasse-Weil L-functions associated with elliptic curves over number fields. In this paper we study the central zeros of the following types of L-functions: (i) the derivatives of the Mellin transforms of Hecke eigenforms for SL₂(ℤ), (ii)...