Abstract
Letq be a fixed odd prime. We consider the sequence of Kummer fields\(Q\left( {\mathop \surd \limits^q 1,\mathop {\surd a}\limits^q } \right)\) asa varies. Estimates are given for the global density of zeroes of ArtinL-functions of these fields. These results are obtained by deducing a series representation for the ArtinL-functions that arises naturally in the arithmetic ofQ.
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Goldfeld, M. A large sieve for a class of non-abelianL-functions. Israel J. Math. 14, 39–49 (1973). https://doi.org/10.1007/BF02761533
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DOI: https://doi.org/10.1007/BF02761533