Simultaneous nonvanishing of central <i>L</i>-values with large level-Reference-Cited by-同舟云学术

Simultaneous nonvanishing of central L-values with large level

Published:2024-03-26 Issue: Volume: Page:
ISSN:0933-7741
Container-title:Forum Mathematicum
language:en
Short-container-title:

Author:

Kumar Balesh¹,Manickam Murugesan²,Shankhadhar Karam Deo²

Affiliation:

1. Department of Mathematics , [ 226963]Indian Institute of Technology Ropar, Rupnagar 140001, Punjab , India

2. Department of Mathematics , [ 189785]Indian Institute of Science Education and Research Bhopal, Bhopal Bypass Road, Bhauri , Bhopal 462 066, Madhya Pradesh , India

Abstract

Abstract For a given normalized newform f of large prime level, we establish a lower bound with respect to the level for the number of normalized newforms g of the same weight and level as of f such that the central L-values of f and g both twisted by a quadratic character do not vanish.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/forum-2024-0014/pdf

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