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Foundations of Ecological and Evolutionary Change. [PDF]

Ecol Evol
Duthie AB, Luque VJ.
europepmc   +1 more source

Non-linear mixed-effects modelling and population-based model selection for ¹³¹I kinetics in benign thyroid disease. [PDF]

EJNMMI Phys
Hardiansyah D, Riana A, Hänscheid H, Beer AJ, Lassmann M, Glatting G.   +5 more
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On the Sixth Power Mean of the Two-term Exponential Sums

Acta 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 }
Wen Peng Zhang, Zhang Wen Peng
exaly   +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.
Wen Peng Zhang, Zhang Wen Peng
exaly   +3 more sources

On the Dedekind sums and two-term exponential sums

Chinese Annals of Mathematics Series B, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Di Han, Han Di
exaly   +2 more sources

The mean value involving Dedekind sums and two-term exponential sums

Science China Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Tingting, Pan, Xiaowei
exaly   +3 more sources

On hybrid mean value of Dedekind sums and two-term exponential sums

Frontiers of Mathematics in China, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenpeng Zhang, Zhang Wenpeng
exaly   +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 ...
Xingxing Lv, Li Xiaoxue
exaly   +2 more sources