Results 31 to 40 of about 21,710,590 (82)
On the sixth power mean values of a generalized two-term exponential sums
AIMS Mathematics, 2023 <abstract><p>This paper examines the evaluations of sixth power mean values of a generalized two-term exponential sums. In the case $ p\equiv 3\bmod 4 $, we try to establish two precise formulas by applying the properties of character sums and the number of the solutions of relevant congruence equations modulo an odd prime $ p $.</p> ...
Shujie Zhou, Li Chen
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On the fourth power mean of one special two-term exponential sums
AIMS Mathematics, 2023 <abstract><p>The main purpose of this paper is using the elementary methods and the number of the solutions of some congruence equations to study the calculating problem of the fourth power mean of one special two-term exponential sums, and give an exact calculating formula for it.</p></abstract>
Wenpeng Zhang, Yuanyuan Meng
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On the hybrid power mean of two kind different trigonometric sums
Open Mathematics, 2019 The main purpose of this paper is using the analytic method, the properties of trigonometric sums and Gauss sums to study the computational problem of one kind hybrid power mean involving two different trigonometric sums, and give an interesting ...
Zhuoyu Chen, Wenpeng Zhang
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AIMS Mathematics, 2021 <abstract><p>We consider the calculation problem of one kind hybrid power mean involving the character sums of polynomials and two-term exponential sums modulo $ p $, an odd prime, and use the analytic method and the properties of classical Gauss sums to give some identities and asymptotic formulas for them.</p></abstract>
Wenpeng Zhang, Jiafan Zhang
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Exponential sums and additive combinatorics [PDF]
, 2020 In this thesis we provide new results in additive combinatorics which in turn lead us to new bounds of certain exponential sums. We also use known bounds on exponential and character sums to give new results in additive combinatorics.
Macourt, Simon, Macourt, S.
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On the sixth power mean of the two-term exponential sums
Journal of Number Theory, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Wenpeng, Han, Di
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New identities involving certain Hardy sums and two-term exponential sums
Indian Journal of Pure and Applied Mathematics, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The fourth power mean value of one kind two-term exponential sums
AIMS Mathematics, 2022 <abstract><p>In this paper, based on the analytic method and the properties of Gauss sums, we study the computational problems of the fourth power mean value of one kind two-term exponential sums through the classification and estimation of Dirichlet characters and give it a calculation formula or asymptotic formula in different conditions.&
Jinmin Yu, Renjie Yuan, Tingting Wang
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On Two Exponential Sums and Their Applications [PDF]
, 1997 We give estimates of two exponential sums over finite fields for which Weil's estimates fail. Using our estimates and Cohen's sieve method, we prove the conjecture of Hansen and Mullen for the second coefficient in characteristic two when the degree ...
Bao, Han Wen
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Statistical procedures based on exponential scores [PDF]
, 1983 Many statistical models have been proposed in which underlying exponential distributions are assumed. Applications of such models occur in a large number of areas, for example in reliability and life-testing investigations and in the study of the ...
Young, D H
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