张天平

2026

四次Jacobsthal和与Kloosterman和的线性递推公式

《数学学报(中文版)》

2026

模为素数幂算术序列上除数函数的一个新结果

《中国科学:数学》

2026

Explicit formula on general Kloosterman sum weighted by Hardy sum

RAIRO - Theoretical Informatics and Applications

DOI

2026

2 k -th power mean value of the generalized cubic Gauss sums

RAIRO - Theoretical Informatics and Applications

DOI

2025

广义三项指数和六次均值的显式公式

《纯粹数学与应用数学》

2025

关于本原商高数的Je?manowicz猜想的一个注记

《纯粹数学与应用数学》

2025

Moments of the generalized Gauss sum weighted by Dirichlet L-functions

The Ramanujan Journal

DOI

2025

Bounds on bilinear sums of generalized Kloosterman sums over arbitrary sets

Journal of Number Theory

DOI

2025

A note on fourth power mean of the general two-term exponential sums

Mathematical Reports

DOI

2024

Cubic residues and their new distributive properties

Indian Journal of Pure and Applied Mathematics

DOI

2024

Partitions into three generalized D. H. Lehmer numbers

AIMS Mathematics

DOI

2023

Identities of general Kloosterman sums

International Journal of Number Theory

DOI

2021

一类指数和的加权均值

《陕西师范大学学报(自然科学版)》

DOI

2021

A Note on High-dimensional D. H. Lehmer Problem

Taiwanese Journal of Mathematics

DOI

2021

Dirichlet characters of the rational polynomials

AIMS Mathematics

DOI

2020

New identities involving Hardy sums $S_3(h,k)$ and general Kloosterman sums

AIMS Mathematics

DOI

2020

Average distribution of k‐free numbers in arithmetic progressions

Mathematische Nachrichten

DOI

2020

Some Identities Involving Certain Hardy Sums and General Kloosterman Sums

Mathematics

DOI

2019

CANCELLATIONS BETWEEN KLOOSTERMAN SUMS MODULO A PRIME POWER WITH PRIME ARGUMENTS

Mathematika

DOI

2018

解析数论中几类重要和式及其应用

2018

Bilinear forms with exponential sums with binomials

Journal of Number Theory

DOI

2017

Squares in Piatetski-Shapiro sequences

Acta Arithmetica

DOI

2017

Divisor problem in arithmetic progressions modulo a prime power

Advances in Mathematics

DOI

2017

Kloosterman sums over smooth numbers

Journal of Number Theory

DOI

2017

Upper bound estimate of incomplete Cochrane sum

Open Mathematics

DOI

2017

On certain character sums

Quaestiones Mathematicae

DOI

2016

On general partial Gaussian sums

Journal of Inequalities and Applications

DOI

2016

Character sums over generalized Lehmer numbers

Journal of Inequalities and Applications

DOI

2016

Some identities involving certain Hardy sum and Kloosterman sum

Journal of Number Theory

DOI

2016

Cancellations amongst Kloosterman sums

Acta Arithmetica

DOI

2015

关于广义二项指数和的四次均值

《陕西师范大学学报(自然科学版)》

2015

On the fourth power mean of the analogous general Kloosterman sum

Journal of Number Theory

DOI

2014

High-Dimensional D. H. Lehmer Problem over Quarter Intervals

Abstract and Applied Analysis

DOI

2013

A note on the hyper Cochrane sum

Indian Journal of Pure and Applied Mathematics

DOI

2013

ON THE GENERAL QUADRATIC GAUSS SUMS WEIGHTED BY CHARACTER SUMS OVER A SHORT INTERVAL

Bulletin of the Korean Mathematical Society

DOI

2010

广义二次Kloosterman和的加权均值

《陕西师范大学学报(自然科学版)》

2010

关于广义二次Kloosterman和的混合均值

《西北大学学报(自然科学版)》

2010

ON MIXED TWO-TERM EXPONENTIAL SUMS

Journal of the Korean Mathematical Society

DOI

2010

On generalized Lucas polynomials and Euler numbers

Miskolc mathematical notes/Mathematical notes

DOI

2010

Hybrid mean value on the general quadratic Kloosterman sums

Journal of Northwest University

2009

关于一类可乘函数的均值

《陕西师范大学学报(自然科学版)》

2009

Hybrid Mean Value of the Hyper Cochrane Sums

Communications in Mathematical Research

DOI

2008

On character sums over a short interval

Journal of Number Theory

DOI

2006

关于多项式特征和的一个注释

《西北大学学报(自然科学版)》

2005

关于超级Cochrane和的混合型均值

《数学年刊A辑(中文版)》

2026

Better than square-root cancellation and Gaussian behavior on Piatetski-Shapiro Sequences

arXiv (Cornell University)

DOI

2025

A new result on the divisor problem in arithmetic progressions modulo a prime power

arXiv preprint

DOI

2024

Sign changes of Kloosterman sums with moduli having at most six prime factors

arXiv preprint