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.Comment: 10 ...
Shkredov, Ilya D.
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On the Application of a Hybrid Incomplete Exponential Sum to Aperiodic Hamming Correlation of Some Frequency-Hopping Sequences [PDF]
EntropyFrequency-hopping sequences are essential in frequency-hopping spread spectrum communication systems due to their strong anti-interference capabilities, low probability of interception, and high confidentiality.
Peihua Li, Hongyu Han
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Sum of Exponential Model for Fitting Data
Engineering Proceedings, 2023 As an approach to feature estimation, exponential fitting has attracted research interests in mathematical modeling. Semantic networks are used for numerous applications in computers, physics, and biology.
Ting-Cheng Chang, Min-Hao Wu, Ying Lin
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Relationship between Item Responses of Negative Affect Items and the Distribution of the Sum of the Item Scores in the General Population. [PDF]
PLoS ONE, 2016 BACKGROUND:Several studies have shown that total depressive symptom scores in the general population approximate an exponential pattern, except for the lower end of the distribution.
Shinichiro Tomitaka +6 more
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On a Diophantine equation with prime variables
AIMS Mathematics, 2021 Let $ [\alpha] $ denote the integer part of the real number $ \alpha $, $ N $ be a sufficiently large integer and $ (\kappa, \lambda) $ be the exponent pair.
Jing Huang, Ao Han, Huafeng Liu
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Solution of differential equations using sum of exponential functions
Lietuvos Matematikos Rinkinys, 2004 In this paper algorithm for the expression power series to sum of exponential functions are presented. The results in case of operator solving method for differential equations are applied.
Liepa Bikulčienė, Zenonas Navickas
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Goldbach partitions and norms of cusp forms
Journal of Numerical Analysis and Approximation Theory, 2019 An integral formula for the Goldbach partitions requires uniform convergence of a complex exponential sum. The dependence of the coefficients of the series is found to be bounded by that of cusp forms.
Simon Brian Davis
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High-dimensional Lehmer problem on Beatty sequences
AIMS Mathematics, 2023 Let $ q $ be a positive integer. For each integer $ a $ with $ 1 \leqslant a < q $ and $ (a, q) = 1 $, it is clear that there exists one and only one $ \bar{a} $ with $ 1 \leqslant\bar{a} < q $ such that $ a \bar{a} \equiv 1(q) $.
Xiaoqing Zhao, Yuan Yi
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Decomposition of exponential sums based on subspace and its application in channel estimation
Dianxin kexue, 2023 The problem of the decomposition of an exponential sum sequence is a classical mathematical problem.Prony method and Prony-Kung method are the classical methods to solve this problem.The Prony-Kung method was analyzed in detail from the point of view of ...
Zhiwei WU +4 more
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On the exponential sums estimates related to Fourier coefficients of GL3 Hecke-Maaß forms
AIMS Mathematics, 2023 Let $ F $ be a normlized Hecke-Maaß form for the congruent subgroup $ \Gamma_0(N) $ with trivial nebentypus. In this paper, we study the problem of the level aspect estimates for the exponential sum $ \mathscr{L}_F(\alpha) = \sum\limits_{n\le X} A_F(n,
Fei Hou
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