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math.NT2020★ 2 cited
On fundamental Fourier coefficients of Siegel cusp forms of degree 2
Jesse Jääsaari, Stephen Lester, Abhishek Saha
Let be a Siegel cusp form of degree 2, even weight and odd squarefree level . We undertake a detailed study of the analytic properties of Fourier coefficients $a(…
math.NT2020
On the distribution of lattice points on hyperbolic circles
Dimitrios Chatzakos, Par Kurlberg, Stephen Lester +1
We study the fine distribution of lattice points lying on expanding circles in the hyperbolic plane . The angles of lattice points arising from the orbit of the modular…
math.NT2020
Quantum variance for dihedral Maass forms
Bingrong Huang, Stephen Lester
We establish an asymptotic formula for the weighted quantum variance of dihedral Maass forms on in the large eigenvalue limit, for certain fixed .…