Results 201 to 210 of about 138,881 (237)

A holistic stochastic model for precipitation events. [PDF]

open access: yesSci Rep
Weyant A   +4 more
europepmc   +1 more source

Breaking down per- and polyfluoroalkyl substances (PFAS): tackling multitudes of correlated electrons. [PDF]

open access: yesChem Sci
Rask AE   +18 more
europepmc   +1 more source

On the Sixth Power Mean of the Two-term Exponential Sums

open access: yesActa Mathematica Sinica, English Series, 2022
The article is devoted to the calculation problem of the sixth power mean of the two-term exponential sums. The main result is the following theorem. Let \(p>3\) be a prime and \(n\) be an integer. Then we have the identity \[ \sum_{m=1}^{p-1}\left|\sum_{a=0}^{p-1} e\left(\frac{m a^3+n a}{p}\right)\right|^6= \begin{cases}5 p^3 \cdot(p-1), & \text { if }
Zhang, Wen Peng, Meng, Yuan Yuan
openaire   +3 more sources

On the Character Sum of Polynomials and the Two-term Exponential Sums

Acta Mathematica Sinica, English Series, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lv, Xing Xing, Zhang, Wen Peng
semanticscholar   +4 more sources

ON THE THIRD POWER MEAN OF TWO-TERM EXPONENTIAL SUMS

JP Journal of Algebra, Number Theory and Applications
Using the properties of character sums and the classical Gauss sums, we study the computational problem of one kind of third power mean of the two-term exponential sums, and give an exact computational formula.
Cui, Dewang, Wang, Li
openaire   +3 more sources

On the Hybrid Power Mean Involving the Two-Term Exponential Sums and Polynomial Character Sums

Chinese Annals of Mathematics, Series B, 2020
For any integer \(q \geq 3\), the high-dimensional Kloosterman sums \(K\left(c_{1}, c_{2}, \ldots, c_{k}, m ; q\right)\) are defined as follows: \[ K\left(c_{1}, c_{2}, \ldots, c_{k}, m ; q\right)=\mathop{\sum'}_{a_{1}=1}^{q} \cdots \mathop{\sum'}_{a_{k}=1}^{q} e\left(\frac{c_{1} a_{1}+\cdots+c_{k} a_{k}+m \bar{a}_{1} \cdots \bar{a}_{k}}{q}\right ...
Lv, Xingxing, Li, Xiaoxue
openaire   +2 more sources

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