论文标题
非二次曲折模块化$ l $ - 主要相关模量的曲折
Non-vanishing of quadratic twists of modular $L$-functions of prime-related moduli
论文作者
论文摘要
在本文中,我们研究了模块化$ l $ functions of Moduli $ 8p $的二次曲折家族的中心价值,其中$ p $差于奇数。假设普遍的Riemann假设的真相,我们为相应的$ l $值建立了积极的比例非变化结果。
In this paper, we study central values of the family of quadratic twists of modular $L$-functions of moduli $8p$, with $p$ ranging over odd primes. Assuming the truth of the generalized Riemann hypothesis, we establish a positive proportion non-vanishing result for the corresponding $L$-values.