Results 251 to 260 of about 2,373,714 (282)

A new two-term exponential sums and its fourth power mean

Rendiconti del Circolo Matematico di Palermo Series 2, 2023
In the paper under review, the authors prove that for any odd prime \(p\), \[ C_4(p):=\sum_{m=0}^{p-1}\left|\sum_{n=0}^{p-1}\mathrm{e}\left(\frac{n^2(m+n)}{p}\right)\right|^4=2p^3+O(p^{5/2}), \] where \(\mathrm{e}(x)=e^{2\pi ix}\). They consider two cases when \(p-1\) is divisible by \(3\) or not.
Xuexia Wang, Wang Li
semanticscholar   +3 more sources

Fourth power mean values of generalized Kloosterman sums

Functiones et Approximatio Commentarii Mathematici
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li Wang, Nilanjan Bag
semanticscholar   +2 more sources

On the fourth-power mean of the general cubic Gauss sums*

Lithuanian Mathematical Journal, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Leran Chang, Wenpeng Zhang
semanticscholar   +4 more sources

On the fourth power mean of the generalized quadratic Gauss sums

Acta Mathematica Sinica, English Series, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wen Peng Zhang, Xin Lin
semanticscholar   +3 more sources

The Fourth Power Mean of the General 3-dimensional Kloostermann Sums mod p

Acta Mathematica Sinica, English Series, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wen Peng Zhang, Xingxing Lv
semanticscholar   +3 more sources

The fourth power mean of the general 2-dimensional Kloostermann sums mod p

Acta Mathematica Sinica, English Series, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wen Peng Zhang, Xiao Xue Li
semanticscholar   +4 more sources

ON THE GENERAL k-TH KLOOSTERMAN SUMS AND ITS FOURTH POWER MEAN

Chinese Annals of Mathematics, 2004
Let \(k\geq 1\) and let \(\chi\) be a character modulo \(q\). Define \[ S(m,n,k;\chi,q)= \sum^q_{a=1} \chi(a)\exp\Biggl({2\pi i\over q}(ma^k+ n\overline a^k)\Biggr), \] where \(a\overline a\equiv 1\pmod q\). In the case \(k=1\), \(\chi= \chi_0\), that is for the classical Kloosterman sum, \textit{H.
Liu, Hongyan, Zhang, Wenpeng
openaire   +4 more sources

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

Mathematical Reports
Let $q$, $m$, $n$ be any integer with $q\ge 3$, and $\lambda$ a Dirichlet character $\bmod $ $q$. An explicit formula for the fourth power mean $$ \mathop{\sum}_{{m=1}\atop{(m,q)=1}}^{q} \biggl| \mathop{\sum}_{a=1}^{q} \lambda(a) e\biggl( \frac{ma^3+na ...
Yaya Mu, Tianping Zhang
semanticscholar   +3 more sources

The Fourth Power Mean of Dirichlet's L-Functions

Analysis, 1981
D. R. Heath-Brown
semanticscholar   +2 more sources