LEVEL RECIPROCITY IN THE TWISTED SECOND MOMENT OF RANKIN–SELBERG ‐FUNCTIONS
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Publication:4555393
DOI10.1112/S0025579318000256zbMath1448.11096arXiv1801.06089MaRDI QIDQ4555393
Eren Mehmet Kıral, Nickolas Andersen
Publication date: 20 November 2018
Published in: Mathematika (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.06089
Gauss and Kloosterman sums; generalizations (11L05) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)
Related Items (9)
Subconvexity bounds for twisted 𝐿-functions, II ⋮ Parametrization of Kloosterman sets and \(\mathrm{SL}_3\)-Kloosterman sums ⋮ Spectral reciprocity via integral representations ⋮ An explicit formula for the second moment of Maass form symmetric square \(L\)-functions ⋮ The fourth moment of Dirichlet \(L\)-functions along a coset and the Weyl bound ⋮ Uniform subconvexity and symmetry breaking reciprocity ⋮ The triple reciprocity law for the twisted second moments of Dirichlet $L$-functions over function fields ⋮ A spectral reciprocity formula and non-vanishing for \(L\)-functions on \(\mathrm{GL}(4)\times\mathrm{GL}(2)\) ⋮ Motohashi’s formula for the fourth moment of individual DirichletL-functions and applications
Cites Work
- A twisted Motohashi formula and Weyl-subconvexity for \(L\)-functions of weight two cusp forms
- The fourth moment of Dirichlet \(L\)-functions
- An explicit formula for the fourth power mean of the Riemann zeta- function
- On the fourth power moment of the Riemann zeta-function
- On the reciprocity law for the twisted second moment of Dirichlet $L$-functions
- The reciprocity law for the twisted second moment of Dirichlet L-functions
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