Results 231 to 240 of about 297,434 (242)

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

Rendiconti Del Circolo Matematico Di Palermo, 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.
Li Wang, Xuexia Wang
exaly   +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.
Nilanjan Bag
exaly   +2 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, Zhang Wen Peng
exaly   +2 more sources

The Fourth Power Mean of Dirichlet's L-Functions

Analysis (Germany), 1981
D R Heath-Brown
exaly   +2 more sources

A fourth power discrepancy mean

Monatshefte für Mathematik, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

The Mean Square of the Error Term for the Fourth Power Moment of the Zeta-Function

Proceedings of the London Mathematical Society, 1994
Let \[ \int^ T_ 0 \left | \zeta \Bigl( {1 \over 2} + it \Bigr) \right |^ 4dt = Tf (\log T) + E_ 2(T), \] where \(f\) is an appropriate quartic polynomial. It is shown here that \[ \int^ T_ 0 E_ 2(t)^ 2dt \ll T^ 2 (\log T)^ C \] for some constant \(C\). This remarkable result implies the estimates \(E_ 2 (T) \ll T^{2/3} (\log T)^ C\), and hence \(\zeta (
Ivić, Aleksandar, Motohashi, Yoichi
openaire   +2 more sources

On the hyper-Kloosterman sum and its fourth power mean

Studia Scientiarum Mathematicarum Hungarica, 2009
The main purpose of this paper is to study the calculating problem of the fourth power mean of the hyper-Kloosterman sums, and give an exact calculating formula for them.
openaire   +1 more source

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

Acta Mathematica Sinica, English Series, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Wen Peng, Li, Xiao Xue
openaire   +2 more sources

Fourth Power Mean Value of Dirichlet’s L-Functions

1991
Let q≥ 2 be an integer. In this paper we shall consider the fourth power mean value of Dirichlet’s L-functions of the following type: Open image in new ...
openaire   +1 more source

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 $$ \mathop{\sum}_{{m=1}\atop{(m,q)=1}}^{q} \biggl| \mathop{\sum}_{a=1}^{q} \lambda(a) e\biggl( \frac{ma^3+na}{q} \biggr) \biggr|^4 $$ is derived.
Mu, Yaya, Zhang, Tianping
openaire   +2 more sources