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20122020
most citedSimple zeros of degree 2 L-functions

2 citations · 2 across the 3 of their papers we have counts for

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Showing 2018Show all

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math.NT2018

Quantitative estimates for simple zeros of L-functions

Andrew R. Booker, Micah B. Milinovich, Nathan Ng

We generalize a method of Conrey and Ghosh (Invent. Math. 94 (1988)) to prove quantitative estimates for simple zeros of modular form L-functions of arbitrary conductor.

math.NT2018

New integral representations for Rankin-Selberg L-functions

Andrew R. Booker, Muthu Krishnamurthy, Min Lee

We derive integral representations for the Rankin-Selberg L-functions on GL(3) x GL(1) and GL(3) x GL(2) by a process of unipotent averaging at archimedean places. A key feature of…

math.NT2018

Twist-minimal trace formulas and the Selberg eigenvalue conjecture

Andrew R. Booker, Min Lee, Andreas Strömbergsson

We derive a fully explicit version of the Selberg trace formula for twist-minimal Maass forms of weight 0 and arbitrary conductor and nebentypus character, and apply it to prove tw…

math.NT2018

Simple zeros of automorphic -functions

Andrew R. Booker, Peter J. Cho, Myoungil Kim

We prove that the complete -function associated to any cuspidal automorphic representation of has infinitely many simple zeros.