Results 251 to 260 of about 300,054 (269)

A fourth power discrepancy mean

Monatshefte für Mathematik, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huxley, Martin Neil
openaire   +3 more sources

Some of the next articles are maybe not open access.

Related searches:

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.
Wenpeng Zhang, Zhang Wenpeng
exaly   +3 more sources

On the fourth power mean of the generalized quadratic Gauss sums

Acta Mathematica Sinica, English Series, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wen Peng Zhang, Xin Lin, Zhang Wen Peng
exaly   +2 more sources

On the Fourth Power Mean of the Character Sums Over Short Intervals

Acta Mathematica Sinica, English Series, 2006
Let \(q \geq 5\) be an odd integer. The authors obtain an asymptotic formula for the mean value \(\sum^{**} | \sum_{1\leq a < q/8} \chi(a)| ^4\), where \(\sum^{**}\) denotes the summation over all primitive Dirichlet characters \(\chi\) modulo \(q\) with the property that \(\chi(-1)=-1\).
Wen Peng Zhang, Zhang Wen Peng
exaly   +3 more sources

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

Chinese Annals of Mathematics Series B, 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.
Hongyan Liu, Wenpeng Zhang
exaly   +3 more sources

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

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