most citedLocal integral transforms and global spectral decomposition

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math.NT2024

Local analysis of the Kuznetsov formula and the density conjecture

Edgar Assing, Valentin Blomer, Paul D. Nelson

We prove Sarnak's spherical density conjecture for the principal congruence subgroup of SL(n, Z) of arbitrary level. Applications include a complete version of Sarnak's optimal lif…

math.NT2024★ 3 cited

Local integral transforms and global spectral decomposition

Valentin Blomer, Subhajit Jana, Paul D. Nelson

We establish an explicit global spectral decomposition of shifted convolution sums and the second moment of automorphic -functions for Maass forms with explicit integral transfo…

math.NT2014

The sup-norm problem for the Siegel modular space of rank two

Valentin Blomer, Anke Pohl

Let F be a square integrable Maass form on the Siegel upper half space of rank 2 for the Siegel modular group Sp(4, Z) with Laplace eigenvalue lambda. If, in addition, F is a joint…