Tengyou Zhu

activity

20242026

collaborators

5 papers

math.NT2026

Triple divisor type functions in arithmetic progressions to prime power moduli

Hui wang, Tengyou Zhu

We study the equidistribution in arithmetic progressions modulo powers of a fixed odd prime of Hecke eigenvalues of noncuspidal $GL_{3}$ automorphic forms, with a focus on t…

math.NT2026

On the exponent of distribution for convolutions of $GL (2)$ coefficients to smooth moduli

Rongjie Yin, Tengyou Zhu

Let $(λ_{f} (n))_{n ⩾ 1}$ be the Hecke eigenvalues of a holomorphic cusp form $f$ . We prove that the exponent of distribution of $λ_{f} * 1$ in arithmetic progressions is as large a…

math.NT2026

Rankin--Selberg coefficients in arithmetic progressions modulo prime powers

Tengyou Zhu

Let $ε > 0$ be given. For prime power moduli $q = p^{k}$ with $k \geq 2$ and $p \neq = 3$ , and assuming the Ramanujan--Petersson conjecture for $\GL_2$ Maass forms, we prove that t…

math.NT2025

On the exponent of distribution for convolutions of $GL (2)$ coefficients to smooth moduli

Rongjie Yin

Let $(λ_{f} (n))_{n ⩾ 1}$ be the Hecke eigenvalues of a holomorphic cusp form $f$ . We prove that the exponent of distribution of $λ_{f} * 1$ in arithmetic progressions is as large a…

math.NT2024

The distribution of powers of primes related to the Frobenius problem

Enxun Huang, Tengyou Zhu

Let $1 < c < d$ be two relatively prime integers, $g_{c, d} = c d - c - d$ and $P$ is the set of primes. For any given integer $k \geq 1$ , we prove that $$\#\left\{p^k\le g_{c,d}:p\in…

Triple divisor type functions in arithmetic progressions to prime power moduli

On the exponent of distribution for convolutions of GL(2) coefficients to smooth moduli

Rankin--Selberg coefficients in arithmetic progressions modulo prime powers

On the exponent of distribution for convolutions of GL(2) coefficients to smooth moduli

The distribution of powers of primes related to the Frobenius problem

On the exponent of distribution for convolutions of $GL (2)$ coefficients to smooth moduli

On the exponent of distribution for convolutions of $GL (2)$ coefficients to smooth moduli