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math-ph2019
Superscars for Arithmetic Point Scatterers II
Pär Kurlberg, Stephen Lester, Lior Rosenzweig
We consider momentum push-forwards of measures arising as quantum limits (semi-classical measures) of eigenfunctions of a point scatterer on the standard flat torus $\mathbb T^2 =…
math.NT2019
Signs of Fourier coefficients of half-integral weight modular forms
Stephen Lester, Maksym Radziwiłł
Let be a Hecke cusp form of half-integral weight, level and belonging to Kohnen's plus subspace. Let denote the th Fourier coefficient of , normalized so that…