Schrödinger Equation and Oscillatory Hilbert Transforms of Second Degree.
Second moments of Dirichlet -functions weighted by Kloosterman sums
For the general modulo and a general multiplicative character modulo , the upper bound estimate of is a very complex and difficult problem. In most cases, the Weil type bound for is valid, but there are some counterexamples. Although the value distribution of is very complicated, it also exhibits many good distribution properties in some number theory problems. The main purpose of this paper is using the estimate for -th Kloosterman sums and analytic method to study the asymptotic properties...
Semi-local units modulo Gauss sums.
Short character sums with Fermat quotients
Short sums of restricted Möbius functions
Small eigenvalues of Laplacian for
Small gaps in coefficients of -functions and -free numbers in short intervals.
Small solutions of cubic equations with prime variables in arithmetic progressions
Some applications of Bombieri's estimate for exponential sums
Some aspects of Davenport's work
Some conjectures concerning Gauss sums.
Some doubly exponential sums over ℤₘ
Some formulas related to Gauss's sum
Some mean-value theorems for exponential sums
Some new sums related to D. H. Lehmer problem
About Lehmer’s number, many people have studied its various properties, and obtained a series of interesting results. In this paper, we consider a generalized Lehmer problem: Let be a prime, and let denote the number of all such that and
Some non-linear diophantine approximations
Some number-theoretical properties of generalized sum-of-digit functions
Some Remarks on Vinogradov's Mean Value Theorem and Tarry's Problem.
Some results on the coefficients of the biquadratic theta series.
Sommes de Gauss cubiques et revêtements de