Inequalities for trigonometric sums and applications
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DOI: 10.1007/s00010-019-00657-6
Abstract: We present various new inequalities for cosine and sine sums. Among others, we prove that 0.1 $$\begin{aligned} 0\le \sum _{k=0}^n \frac{ (a)_{2k}}{(2k)!} \frac{\cos ((2k+1)x)}{2k+1} \quad {(a\in \mathbb {R})} \end{aligned}$$ 0 ≤ ∑ k = 0… read more here.
Keywords: trigonometric sums; sums applications; inequalities trigonometric; frac ... See more keywords
The Covering Method for Exponential Sums and Some Applications
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DOI: 10.1090/noti2073
Abstract: DOI: https://doi.org/10.1090/noti2073 elementary and intuitive way to estimate or compute the pdivisibility of exponential sums, which is particularly convenient in the applications. The covering method allows us to determine solvability of systems of polynomial equations,… read more here.
Keywords: exponential sums; sums applications; method exponential; applications covering ... See more keywords
On One Kind of Character Sums and Its Applications
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DOI: 10.1155/2023/9491445
Abstract: The aim of this study is to use analytic methods and the properties of character sums to calculate the number of solutions to certain congruence equations modulo an odd prime. Formulas for the exact number… read more here.
Keywords: sums applications; kind character; character sums; one kind ... See more keywords