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Effective
moments of Dirichlet $L$-functions in Galois orbits
Rizwanur Khan, Ruoyun Lei and Djordje Milićević
Vol. 12 (2019), No. 3, 475–490
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Abstract |
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Khan, Milićević, and Ngo evaluated the second moment of -functions associated to certain Galois orbits of primitive Dirichlet characters to modulus a large power of any fixed odd prime . Their results depend on -adic Diophantine approximation and are ineffective, in the sense of computability. We obtain an effective asymptotic for this second moment in the case of . |
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Keywords
$L$-functions, Dirichlet characters, moments
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Mathematical Subject Classification 2010
Primary: 11M20
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Milestones
Received: 29 December 2017
Revised: 19 September 2018
Accepted: 12 October 2018
Published: 14 December 2018
Communicated by Stephan Garcia
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Authors |
| Rizwanur Khan | |
| Department of Mathematics University of Mississippi University, MS United States |
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| Ruoyun Lei | |
| Department of Mathematics Bryn Mawr College Bryn Mawr, PA United States |
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| Djordje Milićević | |
| Department of Mathematics Bryn Mawr College Bryn Mawr, PA United States |
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