Affiliation:
1. American Institute of Mathematics San Jose California USA
Abstract
AbstractWe study the moments ofL‐functions associated with primitive cusp forms, in the weight aspect. In particular, we obtain an asymptotic formula for the twisted moments of alongDirichlet polynomial with modular coefficients. This result, which is conditional on the Generalized Lindelöf Hypothesis, agrees with the prediction of the recipe by Conrey, Farmer, Keating, Rubinstein and Snaith.
Reference31 articles.
1. A uniform asymptotic formula for the second moment of primitive L‐functions on the critical line;Balkanova O.;Tr. Mat. Inst. Steklova,2016
2. The first moment of cusp form $L$-functions in weight aspect on average
3. Moments of $L$-functions and the Liouville–Green method
4. S.BaluyotandB.Conrey Moments of zeta and correlations of divisor‐sums: stratification and Vandermonde integrals arXiv:2206.04821 2022.
5. S.BaluyotandC.Turnage‐Butterbaugh Twisted2kth moments of primitive DirichletL‐functions: beyond the diagonal arXiv:2205.00641 2022.
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