collaborators

9 papers

math.NT2025

Large values of quadratic character sums revisited

Zikang Dong, Ruihua Wang, Weijia Wang +1

We study large values of quadratic character sums with summation lengths exceeding the square root of the modulus. Assuming the Generalized Riemann Hypothesis, we obtain a new Omeg…

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 , where for large . 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 . We prove a new Omega result in the region $\exp((\l…

math.NT2025

Large quadratic character sums

Zikang Dong, Yanbin Zhang

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