Ratios conjecture for quadratic twists of modular \(L\)-functions. (English) Zbl 07864519
In this paper under review, the authors study the ratios conjecture with one shift in the numerator and denominator for the family of quadratic twist of modular \(L\)-functions averaged over all odd positive \(n\). The used argument is inspired from the proof of the Čech’s theorem (See Theorem 1.2 in the paper: [M. Čech, “The ratios conjecture for real Dirichlet characters and multiple Dirichlet series”, Preprint, arXiv:2110.04409]).
Reviewer: Kamel Mazhouda (Monastir)
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