2 papers
math.NT2026
Upper bounds for arithmetic functions over polynomial values via Chebotarev--Sato--Tate distributions
Jiong Yang
We establish logarithmic upper bounds for nonnegative multiplicative functions evaluated at values of multivariable polynomials. The polynomial contribution is encoded by the permu…
math.NT2026
Higher moments for symmetric powers of modular forms
Jiong Yang, Zhishan Yang
Let be a cuspidal eigenform of weight on $\SL_2(\BZ)$ and let $λ_{\Sym^d f}(n)$ be the normalized Fourier coefficients of its -th symmetric power lift. This paper establ…