Moments of L-functions and Liouville-Green method

2016/10/11 by Balkanova, Olga, Frolenkov, Dmitry · 2 citations
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1610.03465

Abstract

We show that the percentage of primitive forms of level one and weight 4k→ ∞ for which the associated L-function at the central point is no less than (logk)^-2 is at least 20%. The key ingredients of our proof are the Kuznetsov convolution formula and the Liouville-Green method.

Cited by

• Second Moment of Central Values of Half-Integral Weight Modular Forms and Subconvexity
• On the Real Zeroes of Half-integral Weight Hecke Cusp Forms, II

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