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arXiv · 2304.14600

Ratios conjecture for quadratic twist of modular $L$-functions

Peng Gao·Liangyi Zhao
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Abstract

We develop the $L$-functions ratios conjecture with one shift in the numerator and denominator in certain ranges for the family of quadratic twist of modular $L$-functions using multiple Dirichlet series under the generalized Riemann hypothesis.

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Peng Gao, Liangyi Zhao. 2023-04-28. Ratios conjecture for quadratic twist of modular $L$-functions. https://doi.org/10.1007/s40993-024-00544-3

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