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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…
math.NT2019
Sharp upper bounds for fractional moments of the Riemann zeta function
Winston Heap, Maksym Radziwiłł, Kannan Soundararajan
We establish sharp upper bounds for the th moment of the Riemann zeta function on the critical line, for all real . This improves on earlier work of…