Bibliographic Details
| Title: |
Hybrid subconvex bounds for GL3 × GL1 twisted L-functions and their applications. |
| Authors: |
Hou, Fei1 (AUTHOR) fhou@xaut.edu.cn, Lü, GuangShi2 (AUTHOR) gslv@sdu.edu.cn |
| Source: |
Journal of Number Theory. Apr2026, Vol. 281, p283-320. 38p. |
| Subjects: |
L-functions, Automorphic forms, Mathematical formulas, Analytic number theory, Fourier analysis |
| Abstract: |
Let P , M be two primes such that (P , M) = 1. Let f be a Hecke newform of level P , and χ a primitive Dirichlet character modulo M. In this paper, we study the hybrid subconvexity problem for L (s , sym 2 f ⊗ χ) simultaneously in the level and conductor aspects. Among other things, we prove that the hybrid subconvex bound can be achieved, so long as M ε < P < M 3 / 20. One of the key ingredients is that we develop the classical level aspect version of the Voronoĭ formula for the symmetric square lift in an alternative way by tracing back to its geometric nature. As the direct applications, we obtained the subconvex bound for L (s , f ⊗ f ⊗ χ) simultaneously in the level and conductor aspects and the non-obvious bound for the problem of distinguishing modular forms f and f χ based on their first Fourier coefficients. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
