An adelic Hankel summation formula |
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Authors: | Xian-Jin Li |
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Institution: | Department of Mathematics, Brigham Young University, Provo, UT 84602, United States |
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Abstract: | In this paper, the convergence of the Euler product of the Hecke zeta-function ζ(s,χ) is proved on the line R(s)=1 with s≠1. A certain functional identity between ζ(s,χ) and ζ(2−s,χ) is found. An analogue of Tate's adelic Poisson summation is obtained for the global Hankel transformation, which is constructed in Li (2010) 7]. |
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Keywords: | 11R56 11S80 |
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