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math.NT2026
A connection between low-lying zeros and central values of -functions
Didier Lesesvre, Ade Irma Suriajaya
We discuss the relation between statistics on low-lying zeros of -functions and distribution of the associated central values. More precisely, we deduce explicit conditional low…
math.NT2026
On signs of coefficients of L-functions
Didier Lesesvre, Ming Ho Ng, Yingnan Wang
We give a general lower bound on the frequency of sign changes in the real coefficients of L-functions of the Selberg class. We in particular recover existing results in the cases…