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Upper bounds for the number of primitive ray class characters with conductor below a given bound

Volume 174 / 2016

Joshua Zelinsky Acta Arithmetica 174 (2016), 297-308 MSC: Primary 11N56; Secondary 11R65. DOI: 10.4064/aa7506-5-2016 Published online: 3 August 2016


We present upper bounds on certain sums which are related to Artin’s primitive root conjecture and are also used in counting ray class characters.


  • Joshua ZelinskyDepartment of Mathematics and Statistics
    University of Maine
    323 Neville Hall
    Orono, ME 04469, U.S.A.

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