Debmalya Basak, Jesse Thorner, Alexandru Zaharescu
Published 2024-04-24, updated 2024-12-23Version 2
For certain families of $L$-functions, we prove that if each $L$-function in the family has only real zeros in a fixed yet arbitrarily small neighborhood of $s=1$, then one may considerably improve upon the known results on Landau-Siegel zeros. Sarnak and the third author proved a similar result under much more restrictive hypotheses.
Comments: 7 pages. Referee comments incorporated
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