2 papers
math.NT2023
On sums of Fourier coefficients of cusp forms twisted with additive characters
Zihao Liu
When is the 'th coefficient of some holomorphic cusp form, we prove a variety of Omega results for the twisted sum and discuss their applicatio…
math.NT2021
On Goldfeld's Proof of Siegel's Theorem
Zihao Liu
In this paper, we give a detailed account of Goldfeld's proof of Siegel's theorem. Particularly, we present complete proofs of the nontrivial assumptions made in his paper.