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Schrödinger Equation and Oscillatory Hilbert Transforms of Second Degree.

K. Oskolov (1998)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

Second moments of Dirichlet $L$ -functions weighted by Kloosterman sums

Tingting Wang (2012)

Czechoslovak Mathematical Journal

For the general modulo $q \geq 3$ and a general multiplicative character $χ$ modulo $q$ , the upper bound estimate of $| S (m, n, 1, χ, q) |$ is a very complex and difficult problem. In most cases, the Weil type bound for $| S (m, n, 1, χ, q) |$ is valid, but there are some counterexamples. Although the value distribution of $| S (m, n, 1, χ, q) |$ 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 $k$ -th Kloosterman sums and analytic method to study the asymptotic properties...

Semi-local units modulo Gauss sums.

Y. Hachimori, H. Ichimura (1998)

Manuscripta mathematica

Short character sums with Fermat quotients

Mei-Chu Chang (2012)

Acta Arithmetica

Short sums of restricted Möbius functions

Olivier Bordellès (2010)

Acta Arithmetica

Small eigenvalues of Laplacian for $Γ_{0} (N)$

Henryk Iwaniec (1990)

Acta Arithmetica

Small gaps in coefficients of $L$ -functions and $m a t h f r a k B$ -free numbers in short intervals.

E. Kowalski, O. Robert, J. Wu (2007)

Revista Matemática Iberoamericana

Small solutions of cubic equations with prime variables in arithmetic progressions

Haigang Zhou, Tianze Wang (2007)

Acta Arithmetica

Some applications of Bombieri's estimate for exponential sums

Wenpeng Zhang, Yuan Yi (2003)

Acta Arithmetica

Some aspects of Davenport's work

L. Mordell (1971)

Acta Arithmetica

Some conjectures concerning Gauss sums.

J.H. Loxton (1978)

Journal für die reine und angewandte Mathematik

Some doubly exponential sums over ℤₘ

John B. Friedlander, Sergei Konyagin, Igor E. Shparlinski (2002)

Acta Arithmetica

Some formulas related to Gauss's sum

L. Carlitz (1968)

Rendiconti del Seminario Matematico della Università di Padova

Some mean-value theorems for exponential sums

E. Bombieri, H. Iwaniec (1986)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Some new sums related to D. H. Lehmer problem

Han Zhang, Wenpeng Zhang (2015)

Czechoslovak Mathematical Journal

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 $p$ be a prime, and let $N (k; p)$ denote the number of all $1 \leq a_{i} \leq p - 1$ such that $a_{1} a_{2} \dots a_{k} \equiv 1 mod p$ and $2 ∣ a_{i} + {\bar{a}}_{i} + 1,$ $i = 1, ...$

Currently displaying 1 – 20 of 53

Page 1 Next

Displaying 1 – 20 of 53

Schrödinger Equation and Oscillatory Hilbert Transforms of Second Degree.

Second moments of Dirichlet $L$ -functions weighted by Kloosterman sums

Semi-local units modulo Gauss sums.

Short character sums with Fermat quotients

Short sums of restricted Möbius functions

Small eigenvalues of Laplacian for $Γ_{0} (N)$

Small gaps in coefficients of $L$ -functions and $m a t h f r a k B$ -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

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 $S L (2)$

Currently displaying 1 – 20 of 53