Results 41 to 50 of about 1,790 (152)
New Approach to q-Euler Numbers and Polynomials
Advances in Difference Equations, 2010 We give a new construction of the q-extensions of Euler numbers and polynomials. We present new generating functions which are related to the q-Euler numbers and polynomials.
Seog-Hoon Rim +3 more
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Joint SAR Image Time Series and PSInSAR Data Analytics: An LDA Based Approach
Remote Sensing, 2018 Due to the constant increase in Earth Observation (EO) data collections, the monitoring of land cover is facilitated by the temporal diversity of the satellite images datasets.
Corina Văduva +2 more
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Some Identities Involving Certain Hardy Sums and General Kloosterman Sums
Mathematics, 2020 Using the properties of Gauss sums, the orthogonality relation of character sum and the mean value of Dirichlet L-function, we obtain some exact computational formulas for the hybrid mean value involving general Kloosterman sums K ( r , l , λ ...
Huifang Zhang, Tianping Zhang
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The concept of “character” in Dirichlet’s theorem on primes in an arithmetic progression [PDF]
Archive for History of Exact Sciences, 2013 In 1837, Dirichlet proved that there are infinitely many primes in any arithmetic progression in which the terms do not all share a common factor. We survey implicit and explicit uses ofDirichlet characters in presentations of Dirichlet’s proof in the nineteenth and early twentieth centuries, with an eye toward understanding some of the pragmatic ...
Avigad, Jeremy, Morris, Rebecca
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On the generalized Cochrane sum with Dirichlet characters
AIMS Mathematics, 2023 <abstract><p>In this paper, we defined a new generalized Cochrane sum with Dirichlet characters, and gave the upper bound of the generalized Cochrane sum with Dirichlet characters. Moreover, we studied the asymptotic estimation problem of the mean value of the generalized Cochrane sum with Dirichlet characters and obtained a sharp ...
Jiankang Wang, Zhefeng Xu, Minmin Jia
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Green's functions and existence of solutions of nonlinear fractional implicit difference equations with Dirichlet boundary conditions [PDF]
Opuscula MathematicaThis article is devoted to deduce the expression of the Green's function related to a general constant coefficients fractional difference equation coupled to Dirichlet conditions. In this case, due to the points where some of the fractional operators are
Alberto Cabada +2 more
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Limit Theorems for Twists of L-Functions of Elliptic Curves. IV
Mathematical Modelling and Analysis, 2014 In this paper, we prove a multidimensional limit theorem for moduli of twists of L-functions of elliptic curves. The limit measure in this theorem is defined by the characteristic transforms.
Virginija Garbaliauskienė +1 more
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A Formula of the Dirichlet Character Sum
, 2022 Abstract In this paper, We use the Fourier series expansion of real variables function, We give a formula to calculate the Dirichlet character sum, and four special examples are given.
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Random Characters under the $L$-Measure, I: Dirichlet Characters [PDF]
International Mathematics Research Notices, 2017 We define the $L$-measure on the set of Dirichlet characters as an analogue of the Plancherel measure, once considered as a measure on the irreducible characters of the symmetric group. We compare the two measures and study the limit in distribution of characters evaluations when the size of the underlying group grows.
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The Poisson equation on Klein surfaces
Electronic Journal of Differential Equations, 2016 We obtain a formula for the solution of the Poisson equation with Dirichlet boundary condition on a region of a Klein surface. This formula reveals the symmetric character of the solution.
Monica Rosiu
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