Article ID Journal Published Year Pages File Type
4593774 Journal of Number Theory 2014 19 Pages PDF
Abstract

We prove an asymptotic formula for the first moment of the symmetric-square L  -functions L(sym2f,s) on the critical line for cusp forms f of weight k, level N and real primitive character χ modulo N  , as N→∞N→∞. It follows that for any t∈Rt∈R, there exists f   such that L(sym2f,1/2+it)≠0.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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