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Title: | The reciprocity law for the twisted second moment of dirichlet l-functions over rational function fields | Authors: | Đanković, Goran | Affiliations: | Algebra and Mathematical Logic | Keywords: | Dirichlet L-function;function field;moments;twisted reciprocity | Issue Date: | 1-Dec-2018 | Journal: | Bulletin of the Australian Mathematical Society | Abstract: | We prove the reciprocity law for the twisted second moments of Dirichlet -functions over rational function fields, corresponding to two irreducible polynomials. This formula is the analogue of the formulas for Dirichlet -functions over obtained by Conrey ['The mean-square of Dirichlet -functions', arXiv:0708.2699 [math.NT] (2007)] and Young ['The reciprocity law for the twisted second moment of Dirichlet -functions', Forum Math. 23(6) (2011), 1323-1337]. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/906 | ISSN: | 00049727 | DOI: | 10.1017/S0004972718000874 |
Appears in Collections: | Research outputs |
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