{"docId":5112,"paperId":5112,"url":"https:\/\/hrj.episciences.org\/5112","doi":"10.46298\/hrj.2019.5112","journalName":"Hardy-Ramanujan Journal","issn":"","eissn":"2804-7370","volume":[],"section":[],"repositoryName":"Hal","repositoryIdentifier":"hal-01986708","repositoryVersion":1,"repositoryLink":"https:\/\/hal.archives-ouvertes.fr\/hal-01986708v1","dateSubmitted":"2019-01-23 14:19:26","dateAccepted":"2019-01-23 15:36:17","datePublished":"2019-01-23 15:36:30","titles":{"en":"Hybrid level aspect subconvexity for GL(2) \u00d7 GL(1) Rankin-Selberg L-Functions"},"authors":["Aggarwal\n, \nKeshav","Jo\n, \nYeongseong","Nowland\n, \nKevin"],"abstracts":{"en":"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 Duke-Friedlander-Iwaniec save for the modification of the delta method."},"keywords":[{"en":"Special values of L-functions"},{"en":"Rankin-Selberg convolution"},{"en":"subconvexity"},{"en":"\u03b4-method 2010 Mathematics Subject Classification 11F11"},{"en":"11F67"},{"en":"11L05"},"\n[\nMATH\n] \nMathematics [math]","\n[\nMATH.MATH-NT\n] \nMathematics [math]\/Number Theory [math.NT]"]}