Yutong Song

activity

20222026

collaborators

11 papers

math.NT2026

Extreme values of derivatives of Dirichlet $L$ -functions

Xinghua Cui, Zhifeng Peng, Yutong Song +1

In this paper, we establish lower bounds for extreme values of derivatives of Dirichlet $L$-functions in the range $1/2<σ<1$. Compared with the work of Aistleitner, Mahatab, Mu…

math.NT2025

Note on large quadratic character sums

Zikang Dong, Yutong Song, Ruihua Wang +1

In this article, we investigate the conditional large values of quadratic Dirichlet character sums. We prove an Omega result for quadratic character sums under the assumption of th…

math.NT2025

Large quadratic character sums with multiplicative coefficients

Zikang Dong, Yutong Song, Weijia Wang +2

In this article, we investigate conditional large values of quadratic Dirichlet character sums with multiplicative coefficients. We prove some Omega results under the assumption of…

math.NT2025

Large values of Dirichlet polynomials with multiplicative coefficients

Zikang Dong, Yutong Song, Weijia Wang +2

In this paper, we investigate large values of Dirichlet polynomials with multiplicative coefficients $\sum_{n \leq N} f (n) n^{i t}$ , where $1 ≪ t \leq T$ for large $T$ . We prove an impro…

math.NT2025

Large character sums with multiplicative coefficients

Zikang Dong, Yutong Song, Weijia Wang +2

In this paper, we investigate large values of Dirichlet character sums with multiplicative coefficients $\sum_{n \leq N} f (n) χ (n)$ . We prove a new Omega result in the region $\exp((\l…

math.NT2025

Quadratic character sums with multiplicative coefficients

Zikang Dong, Zhonghua Li, Yutong Song +1

In this article, we study extreme values of quadratic character sums with multiplicative coefficients $\sum_{n \leq N} f (n) χ_{d} (n)$ . For a positive number $N$ within a suitable range,…

math.NT2025

Large values of quadratic Dirichlet $L$ -functions near the central point

Zikang Dong, Zhonghua Li, Yutong Song +1

In this paper, we investigate the conditional large values of the quadratic Dirichlet $L$ -functions near the central point $s = 1/2$ . When $σ$ closes to $1/2$ within a suitable range…

math.NT2025

Large values of character sums with multiplicative coefficients

Zikang Dong, Zhonghua Li, Yutong Song +1

In this article, we investigate large values of Dirichlet character sums with multiplicative coefficients $\sum_{n \leq N} f (n) χ (n)$ . We prove an Omega result in the region $\exp((\lo…

math.NT2025

Extreme values of derivatives of the Dedekind zeta function of a cyclotomic field

Zhonghua Li, Yutong Song, Qiyu Yang +1

In this paper, we establish a lower bound for the maximum of derivatives of the Dedekind zeta function of a cyclotomic field on the critical line. Employing a double version convol…

math.NT2023

On derivatives of zeta and $L$ -functions near the 1-line

Zikang Dong, Yutong Song, Weijia Wang +1

We study the conditional upper bounds and extreme values of derivatives of the Riemann zeta function and Dirichlet $L$ -functions near the 1-line. Let $ℓ$ be a fixed natural numb…

math.NT2022

Ohno-Zagier type relation for multiple $t$ -values

Zhonghua Li, Yutong Song

We study the Ohno-Zagier type relation for multiple $t$ -values and multiple $t$ -star values. We represent the generating function of sums of multiple $t$ -(star) values with fixed w…

Extreme values of derivatives of Dirichlet L-functions

Note on large quadratic character sums

Large quadratic character sums with multiplicative coefficients

Large values of Dirichlet polynomials with multiplicative coefficients

Large character sums with multiplicative coefficients

Quadratic character sums with multiplicative coefficients

Large values of quadratic Dirichlet L-functions near the central point

Large values of character sums with multiplicative coefficients

Extreme values of derivatives of the Dedekind zeta function of a cyclotomic field

On derivatives of zeta and L-functions near the 1-line

Ohno-Zagier type relation for multiple t-values

Extreme values of derivatives of Dirichlet $L$ -functions

Large values of quadratic Dirichlet $L$ -functions near the central point

On derivatives of zeta and $L$ -functions near the 1-line

Ohno-Zagier type relation for multiple $t$ -values