output
20112024
most citedThe Burgess bound via a trivial delta method

10 citations

6 papers

math.NT2024

Equidistribution of Kloosterman sums over function fields

Lei Fu, Yuk-Kam Lau, Wen-Ching Winnie Li +1

We prove the Sato--Tate distribution of Kloosterman sums over function fields with explicit error terms, when the places vary in arithmetic progressions or short intervals. A joint…

math.NT2018★ 10 cited

The Burgess bound via a trivial delta method

Keshav Aggarwal, Roman Holowinsky, Yongxiao Lin +1

Let be a fixed Hecke cusp form for and be a primitive Dirichlet character of conductor . The best known subconvex bound for $L(1/2,g\otimes χ…

math.NT2015★ 3 cited

Sums of the triple divisor function over values of a ternary quadratic form

Qingfeng Sun, Deyu Zhang

Let be the triple divisor function which is the number of solutions of the equation in natural numbers. It is shown that $$ \sum_{1\leq n_1,n_2,n_3\leq \sqrt…

math.SP2013★ 1 cited

A priori bounds and existence of non-real eigenvalues of indefinite Sturm-Liouville problems

Jiangang Qi, Shaozhu Chen

The present paper gives a priori bounds on the possible non-real eigenvalues of regular indefinite Sturm-Liouville problems and obtains sufficient conditions for such problems to a…

math.SP2013★ 1 cited

Estimates on the non-real eigenvalues of regular indefinite Sturm-Liouville problems

Jussi Behrndt, Shaozhu Chen, Friedrich Philipp +1

Regular Sturm-Liouville problems with indefinite weight functions may possess finitely many non-real eigenvalues. In this note we prove explicit bounds on the real and imaginary pa…

math.OC2011★ 2 cited

Differential games of partial information forward-backward doubly stochastic differential equations and applications

Eddie C. M. Hui, Hua Xiao

This paper is concerned with a new type of differential game problems of forwardbackward stochastic systems. There are three distinguishing features: Firstly, our game systems are…