THE RECIPROCITY LAW FOR THE TWISTED SECOND MOMENT OF DIRICHLET $L$ -FUNCTIONS OVER RATIONAL FUNCTION FIELDS
Sign Up to like & getrecommendations! Published in 2018 at "Bulletin of the Australian Mathematical Society"
DOI: 10.1017/s0004972718000874
Abstract: We prove the reciprocity law for the twisted second moments of Dirichlet $L$ -functions over rational function fields, corresponding to two irreducible polynomials. This formula is the analogue of the formulas for Dirichlet $L$ -functions… read more here.
Keywords: law twisted; reciprocity law; dirichlet functions; twisted second ... See more keywords
The strong Suslin reciprocity law
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DOI: 10.1112/s0010437x20007666
Abstract: We prove the strong Suslin reciprocity law conjectured by A. Goncharov. The Suslin reciprocity law is a generalization of the Weil reciprocity law to higher Milnor $K$-theory. The Milnor $K$-groups can be identified with the… read more here.
Keywords: reciprocity law; strong suslin; reciprocity; suslin reciprocity ... See more keywords
p-Adic q-Twisted Dedekind-Type Sums
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DOI: 10.3390/sym13091756
Abstract: The main purpose of this paper is to define p-adic and q-Dedekind type sums. Using the Volkenborn integral and the Teichmüller character representations of the Bernoulli polynomials, we give reciprocity law of these sums. These… read more here.
Keywords: type sums; reciprocity law; dedekind type; adic twisted ... See more keywords