Non-vanishing of Cubic Dirichlet L-Functions over the Eisenstein Field

Autor:	Güloğlu, Ahmet Muhtar
Rok vydání:	2023
Předmět:	Mathematics - Number Theory 11R42 11M20
Druh dokumentu:	Working Paper
Popis:	We establish an asymptotic formula for the first moment and derive an upper bound for the second moment of L-functions associated with the complete family of primitive cubic Dirichlet characters defined over the Eisenstein field. Our results are unconditional, and indicate that there are infinitely many characters within this family for which the L-function $L(s,\chi)$ does not vanish at the central point $s=1/2$. Comment: arXiv admin note: text overlap with arXiv:2301.10979
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2306.09474 Zobrazit plný text záznamu View this record from Arxiv