Abstract
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 .
Citation
Rizwanur Khan. Ruoyun Lei. Djordje Milićević. "Effective moments of Dirichlet $L$-functions in Galois orbits." Involve 12 (3) 475 - 490, 2019. https://doi.org/10.2140/involve.2019.12.475
Information