Results 11 to 20 of about 102,666 (260)
On Some Exponential Sums [PDF]
Proceedings of the National Academy of Sciences, 1948 Verf. entwickelt den Zusammenhang zwischen zyklischen algebraischen Kongruenzfunktionen\-körpern einerseits und Charakter- bzw. Exponentialsummen andrerseits. Seiner einleitenden Bemerkung, daß er eine genaue Formulierung dieses Zusammenhangs in der Literatur nicht finden konnte, sei durch den Hinweis auf folgende Arbeiten begegnet: Ref. [J.
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A note on exponential sums [PDF]
Pacific Journal of Mathematics, 1969 The paper begins with a few applications of Rédei's theorem on sums of the form \( B=\sum_{s=1}^{p-1} c_{\delta} \zeta^{s} \) where \( c_{s}= \pm 1 \) and \( \zeta \) is a primitive \( p \)-th root of unity. (See this Zbl. 29, 109.) For instance it is proved that \( |B|^{2} \equiv 0(\bmod p) \) if and only if \( B \) is a Gauss sum, i. e.
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On Tractable Exponential Sums [PDF]
, 2010 We consider the problem of evaluating certain exponential sums. These sums take the form $\sum_{x_1,...,x_n \in Z_N} e^{f(x_1,...,x_n) {2 πi / N}} $, where each x_i is summed over a ring Z_N, and f(x_1,...,x_n) is a multivariate polynomial with integer coefficients.
Jin-yi Cai +3 more
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On the bivariate Padovan polynomials matrix [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In this paper, we intruduce the bivariate Padovan sequence we examine its various identities. We define the bivariate Padovan polynomials matrix. Then, we find the Binet formula, generating function and exponential generating function of the bivariate ...
Orhan Dişkaya +2 more
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On values of exponential sums [PDF]
Proceedings of the American Mathematical Society, 1975 An exponential sum is defined by \[ G ( F ...
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Israel Journal of Mathematics, 2000 15 pages, to appear in Israel J ...
Adolphson, Alan, Sperber, Steven
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The Distribution of Sum, Product and Ratio for the Absolutely Continuous Bivariate Generalized Exponential Random Variables [PDF]
The Egyptian Statistical Journal, 2017 Block and Basu bivariate exponential distribution is a standout amongst the most absolutely continuous bivariate technique . This idea can be extended to the generalized exponential technique also.
Hiba Z. Muhammed
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ON HEILBRONN'S EXPONENTIAL SUM [PDF]
The Quarterly Journal of Mathematics, 2012 In the paper we prove a new upper bound for Heilbronn's exponential sum and obtain some applications of our result to distribution of Fermat quotients.
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Efficient spectral estimation by MUSIC and ESPRIT with application to sparse FFT
Frontiers in Applied Mathematics and Statistics, 2016 In spectral estimation, one has to determine all parameters of an exponential sum for finitely many (noisy)sampled data of this exponential sum.Frequently used methods for spectral estimation are MUSIC (MUltiple SIgnal Classification) and ESPRIT ...
Daniel ePotts +2 more
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Extended Wang sum and associated products.
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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