Results 21 to 30 of about 783,373 (136)
SINGULAR POINTS FOR THE SUM OF A SERIES OF EXPONENTIAL MONOMIALS
Проблемы анализа, 2018 A problem of distribution of singular points for sums of series of exponential monomials on the boundary of its convergence domain is studied. The influence of a multiple sequence Λ = {λk, nk}_(∞;k=1) of the series in the presence of singular points on ...
Krivosheeva O . A . +1 more
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Exponential sum approximations for $t^{-\beta}$
, 2017 Given $\beta>0$ and $\delta>0$, the function $t^{-\beta}$ may be approximated for $t$ in a compact interval $[\delta,T]$ by a sum of terms of the form $we^{-at}$, with parameters $w>0$ and $a>0$. One such an approximation, studied by Beylkin and Monz\'on,
B Alpert +6 more
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Whittaker Coefficients of Metaplectic Eisenstein Series
, 2015 We study Whittaker coefficients for maximal parabolic Eisenstein series on metaplectic covers of split reductive groups. By the theory of Eisenstein series these coefficients have meromorphic continuation and functional equation.
Brubaker, Benjamin, Friedberg, Solomon
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Resonance between the Representation Function and Exponential Functions over Arithemetic Progression
Journal of Mathematics, 2021 Let rn denote the number of representations of a positive integer n as a sum of two squares, i.e., n=x12+x22, where x1 and x2 are integers. We study the behavior of the exponential sum twisted by rn over the arithmetic progressions ∑n∼Xn≡lmodqrneαnβ ...
Li Ma, Xiaofei Yan
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Mean value estimates for odd cubic Weyl sums [PDF]
, 2014 We establish an essentially optimal estimate for the ninth moment of the exponential sum having argument $\alpha x^3+\beta x$. The first substantial advance in this topic for over 60 years, this leads to improvements in Heath-Brown's variant of Weyl's ...
Wooley, Trevor D.
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The Bombieri–Vinogradov theorem for exponential sums over primes [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we revisit Lemma 18 from [2], which concerns a Bombieri–Vinogradov type theorem for exponential sums over primes. We provide a corrected version of the lemma, clarify the original arguments, and address certain inaccuracies present in the ...
Stoyan Dimitrov
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A note on two-term exponential sum and the reciprocal of the quartic Gauss sums
Advances in Difference Equations, 2021 The main purpose of this article is by using the properties of the fourth character modulo a prime p and the analytic methods to study the calculating problem of a certain hybrid power mean involving the two-term exponential sums and the reciprocal of ...
Wenpeng Zhang, Xingxing Lv
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$T$-adic exponential sums of polynomials in one variable
, 2009 The $T$-adic exponential sum of a polynomial in one variable is studied. An explicit arithmetic polygon in terms of the highest two exponents of the polynomial is proved to be a lower bound of the Newton polygon of the $C$-function of the T-adic ...
A. Adolphson +9 more
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On substantial fractional difference operator
Advances in Difference Equations, 2020 In this article, new definitions of fractional substantial sum and difference operators are introduced. Some properties are established and used to generate a fixed point operator for an arbitrary real order substantial system with conditions involving ...
Syed Sabyel Haider, Mujeeb ur Rehman
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On the Distribution of the Product of Inverse Pareto and Exponential Random Variables
Recoletos Multidisciplinary Research Journal, 2023 This article considers Inverse Pareto and Exponential distributions to create the distribution of the product. The researchers derived its properties, such as; survival functions and hazard functions, and used the model criterion such as Sum Square Error
Marvin Pizon
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