episciences.org_5112_1653155555
1653155555
episciences.org
raphael.tournoy+crossrefapi@ccsd.cnrs.fr
episciences.org
HardyRamanujan Journal
28047370
10.46298/journals/hrj
https://hrj.episciences.org
01
23
2019
Hybrid level aspect subconvexity for GL(2) × GL(1) RankinSelberg LFunctions
Keshav
Aggarwal
Yeongseong
Jo
Kevin
Nowland
Let $M$ be a squarefree positive integer and $P$ a prime number coprime to $M$ such that $P \sim M^{\eta}$ with $0 < \eta < 2/5$. We simplify the proof of subconvexity bounds for $L(\frac{1]{2}, f \otimes \chi)$ when $f$ is a primitive holomorphic cusp form of level $P$ and $\chi$ is a primitive Dirichlet character modulo $M$. These bounds are attained through an unamplified second moment method using a modified version of the delta method due to R. Munshi. The technique is similar to that used by DukeFriedlanderIwaniec save for the modification of the delta method.
01
23
2019
5112
https://hal.archivesouvertes.fr/hal01986708v1
10.46298/hrj.2019.5112
https://hrj.episciences.org/5112

https://hrj.episciences.org/5112/pdf