Results 1 to 10 of about 11,209 (117)
Extended Wang sum and associated products. [PDF]
PLoS ONE, 2022 The Wang sum involving the exponential sums of Lerch's Zeta functions is extended to the finite sum of the Huwitz-Lerch Zeta function to derive sums and products involving cosine and tangent trigonometric functions.
Robert Reynolds, Allan Stauffer
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Exponential and trigonometric sums associated with the Lerch zeta and Legendre chi functions [PDF]
Computers & Mathematics with Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Djurdje Cvijovic
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On Some Trigonometric and Exponential Lattice Sums
Journal of Mathematical Analysis and Applications, 1994 The sums in question have the form \(\sum_{m,n} (\pm 1)^{m+n} r^{-1} \sin (r\theta)\) and \(\sum_{m,n} (\pm 1)^{m+n} r^{-1} \cos (r\theta)\), where \(r= \sqrt {m^ 2+ n^ 2}\), \(\theta\) is real, and the sums are extended over all nonzero lattice points \((m,n)\).
Borwein, D., Borwein, J. M.
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One kind sixth power mean of the three-term exponential sums
Open Mathematics, 2017 In this paper, we use the estimate for trigonometric sums and the properties of the congruence equations to study the computational problem of one kind sixth power mean of the three-term exponential sums.
Wang Xiaoying, Li Xiaoxue
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Mathematics, 2023 In this article, we define q-cosine and q-sine Apostol-type Frobenius–Euler polynomials and derive interesting relations. We also obtain new properties by making use of power series expansions of q-trigonometric functions, properties of q-exponential ...
Yongsheng Rao +3 more
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On the Hybrid Power Mean of Two-Term Exponential Sums and Cubic Gauss Sums
Journal of Mathematics, 2021 In this paper, an interesting third-order linear recurrence formula is presented by using elementary and analytic methods. This formula is concerned with the calculating problem of the hybrid power mean of a certain two-term exponential sums and the ...
Shaofan Cao, Tingting Wang
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Some new hybrid power mean formulae of trigonometric sums
Advances in Difference Equations, 2020 We apply the analytic method and the properties of the classical Gauss sums to study the computational problem of a certain hybrid power mean of the trigonometric sums and to prove several new mean value formulae for them.
Li Chen, Zhuoyu Chen
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The Bombieri-Vinogradov theorem for nilsequences
Discrete Analysis, 2021 The Bombieri-Vinogradov theorem for nilsequences, Discrete Analysis 2021:21, 55 pp. The prime number theorem asserts that the density of the primes in the vicinity of a large integer $n$ is approximately $1/\log n$, or equivalently that the number of ...
Xuancheng Shao, Joni Teräväinen
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Zeros of Systems of Exponential Sums and Trigonometric Polynomials [PDF]
Moscow Mathematical Journal, 2006 16 pages, 2 ...
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On the Sixth Power Mean Value of the Generalized Three-Term Exponential Sums
Abstract and Applied Analysis, 2014 The main purpose of this paper is using the estimate for trigonometric sums and the properties of the congruence equations to study the computational problem of one kind sixth power mean value of the generalized three-term exponential sums and give an ...
Yahui Yu, Wenpeng Zhang
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