Yu-Chen Sun

works on

character sums 1 generalized riemann hypothesis 1 legendre symbols 1 quadratic residues 1 short intervals 1 sieve methods 1

From the 1 of 8 linked papers with an AI index.

collaborators

8 papers

math.NT2026

Large sieve inequality for sums of Legendre symbols over short intervals

Marc Munsch, Igor Shparlinski, Yu-Chen Sun +1

The paper establishes a nontrivial upper bound for the second moment of sums of Legendre symbols over short intervals using the Burgess bound and Selberg sieve, showing that for mo…

math.NT2026

Cross representations of additive complements of $r$ -th powers

Yuchen Ding, Ben Krause, Csaba SÃ¡ndor +2

Let $N$ be the set of natural numbers and $S_{r} = {1^{r}, 2^{r}, 3^{r}, \dots}$ the set of $r$ -th powers, where $r \geq 2$ is a natural number. Let $\mathcal{W}_r…

math.NT2026

An improved upper bound on the Ruzsa number

Yuchen Ding, Yu-Chen Sun, Lilu Zhao

Let $R_{m}$ be the least positive integer $r$ such that there exists a set $A \subseteq Z_{m}$ with $A + A = Z_{m}$ for which the number of ordered solutions of $n = x + y$ wi…

math.NT2026

An improved lower bound for odd integers not of the form $p + 2^{a} + 2^{b}$

Yuchen Ding, Yu-Chen Sun, Lilu Zhao

Let $x$ be sufficiently large and \[ N(x)=\big|\bigl\{n\le x:n\ \text{is odd and }n\ne p+2^a+2^b \textrm{ with } p \text{ a prime and } a,b\in \mathbb{N}\bigr\}\big|. \] Motivated…

math.NT2026

Representations of positive integers by three almost-prime squares

Yue-Feng She, Yu-Chen Sun, Guang-Liang Zhou

Let $P_{r}$ denote an integer with at most $r$ prime factors, counted with multiplicity. It is known that every sufficiently large integer $N$ satisfying $N \equiv 3 (mod 24)$ and $…

math.NT2026

Linear equations in Piatetski-Shapiro primes

Xuancheng Shao, Yu-Chen Sun

We establish discorrelation estimates between the Piatetski-Shapiro prime set \[ \mathcal{P}_Î³ := \{p \text{ is prime and } p = \lfloor n^{1/Î³} \rfloor \text{ for some } n \in \m…

Large sieve inequality for sums of Legendre symbols over short intervals

Cross representations of additive complements of r-th powers

An improved upper bound on the Ruzsa number

An improved lower bound for odd integers not of the form p+2a+2b

Representations of positive integers by three almost-prime squares

Linear equations in Piatetski-Shapiro primes

Cross representations of additive complements of $r$ -th powers

An improved lower bound for odd integers not of the form $p + 2^{a} + 2^{b}$