3 papers
math.NT2020
Uniform bounds for norms of theta series and arithmetic applications
Fabian Waibel
We prove uniform bounds for the Petersson norm of the cuspidal part of the theta series. This gives an improved asymptotic formula for the number of representations by a quadratic…
math.NT2018
Moments of Spinor L-Functions and symplectic Kloosterman sums
Fabian Waibel
We compute the second moment of spinor -functions at central points of Siegel modular forms on congruence subgroups of large prime level and give applications to non-vanishi…
math.NT2017
Fourier coefficients of half-integral weight cusp forms and Waring's problem
Fabian Waibel
Extending the approach of Iwaniec and Duke, we present strong uniform bounds for Fourier coefficients of half-integral weight cusp forms of level . As an application, we conside…