Abstract
The scalar product of Hecke series with Größencharakteren, introduced by Yu. V. Linnik, and its generalizations are studied. Analytic properties of the functions under consideration are closely related to the distribution of integer points on toric varieties. Bibliography: 22 titles.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 322, 2005, pp. 135–148.
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Moroz, B.Z. Scalar products of dirichlet series and the distribution of integer points on toric varieties. J Math Sci 137, 4690–4698 (2006). https://doi.org/10.1007/s10958-006-0265-9
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DOI: https://doi.org/10.1007/s10958-006-0265-9