Results 11 to 20 of about 786,670 (261)
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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The Ronkin number of an exponential sum [PDF]
, 2010 We give an intrinsic estimate of the number of connected components of the complementary set to the amoeba of an exponential sum with real spectrum improving the result of Forsberg, Passare and Tsikh in the polynomial case and that of Ronkin in the ...
Fabiano +7 more
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Picturesque exponential sums. II:
Journal für die reine und angewandte Mathematik (Crelles Journal), 1979 Let k be a fixed positive integer ⩾2 and let ζ = exp(2πi/k). For any integer n ⩾0 we define b(n) to be the sum of the digits of n when written to the base k.
Lehmer, D.H., Lehmer, Emma
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Exponential sums involving the divisor function over arithmetic progressions
AIMS Mathematics, 2023 Let $ \phi(x) $ be a smooth function supported on $ [1, 2] $ with derivatives bounded by $ \phi^{(j)}(x)\ll 1 $ and $ d_3(n) $ be the number of ways to write $ n $ as a product of three factors. We get the asymptotic formula for the nonlinear exponential
Rui Zhang , Yang Li, Xiaofei Yan
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A remark for Gauss sums of order 3 and some applications for cubic congruence equations
AIMS Mathematics, 2022 In this paper, we give some relations between Gauss sums of order 3. As application, we give the number of solutions of some cubic diagonal equations. These generalize the earlier results obtained by Hong-Zhu and solve the sign problem raised by Zhang ...
Wenxu Ge, Weiping Li, Tianze Wang
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INCOMPLETE EXPONENTIAL SUMS OVER EXPONENTIAL FUNCTIONS [PDF]
The Quarterly Journal of Mathematics, 2014 We extend some methods of bounding exponential sums of the type $\displaystyle\sum_{n\le N}e^{2 iag^n/p}$ to deal with the case when $g$ is not necessarily a primitive root. We also show some recent results of Shkredov concerning additive properties of multiplicative subgroups imply new bounds for the sums under consideration.
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The exponential sum over squarefree integers [PDF]
, 2004 We give an upper bound for the exponential sum over squarefree integers.
Schlage-Puchta, Jan-Christoph
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Prony-Type Polynomials and Their Common Zeros
Frontiers in Applied Mathematics and Statistics, 2020 The problem of hidden periodicity of a bivariate exponential sum f(n)=∑j=1Najexp(-i〈ωj,n〉), where a1, …, aN ∈ ℂ\{0} and n ∈ ℤ2, is to recover frequency vectors ω1,…,ωN∈[0,2π) 2 using finitely many samples of f.
Jürgen Prestin, Hanna Veselovska
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Two classes of two-weight linear codes over finite fields
AIMS Mathematics, 2023 Let $ p\equiv 1\pmod 4 $ be a prime, $ m $ a positive integer, $ \frac{\phi(p^m)}2 $ the multiplicative order of $ 2 $ modulo $ p^m $, and let $ q = 2^{ \frac{\phi(p^m)}2} $, where $ \phi(\cdot) $ is the Euler's function. In this paper, we construct two
Jianying Rong , Fengwei Li, Ting Li
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kth powers in a generalization of Piatetski-Shapiro sequences
AIMS Mathematics, 2023 The article considers a generalization of Piatetski-Shapiro sequences in the sense of Beatty sequences. The sequence is defined by $ \left(\left\lfloor\alpha n^c+\beta\right\rfloor\right)_{n = 1}^{\infty} $, where $ \alpha \geq 1 $, $ c > 1 $, and ...
Yukai Shen
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