PreprintarXiv licencearXiv
The First Moment of Dirichlet L-functions over Generators of the Character Group
Abstract
We evaluate the average of the central values L(1/2,χ) over the generators of the group of Dirichlet characters modulo q, as q→∞ through the primes.
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BibTeX
@misc{khan2026first,
title = {{The First Moment of Dirichlet L-functions over Generators of the Character Group}},
author = {Rizwanur Khan},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2607.14612},
eprint = {2607.14612},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.14612},
}
RIS
TY - UNPB
TI - The First Moment of Dirichlet L-functions over Generators of the Character Group
AU - Rizwanur Khan
PY - 2026
DA - 2026/10/12
PB - arXiv
DO - 10.48550/arxiv.2607.14612
UR - https://arxiv.org/abs/2607.14612
AB - We evaluate the average of the central values L(1/2,χ) over the generators of the group of Dirichlet characters modulo q, as q→∞ through the primes.
ER -