Results 51 to 60 of about 1,424,186 (337)
Extended Wang sum and associated products.
PLoS ONE, 2022 The Wang sum involving the exponential sums of Lerch's Zeta functions is extended to the finite sum of the Huwitz-Lerch Zeta function to derive sums and products involving cosine and tangent trigonometric functions.
Robert Reynolds, Allan Stauffer
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, 2002 There is a body of work in the literature on various restricted sums of the number of divisors of an integer function including that described in [2-9, 11] and summarised in Section 2 ...
Broughan, Kevin A.
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Record Ranges for Samples From Asymmetrical Laplace Distributions
Journal of Statistical Theory and Applications (JSTA), 2018 The representations of record ranges via sums of independent identically distributed exponential random variables are obtained for asymmetrical Laplace distributions.
I.V. BELKOV +2 more
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On the two-term exponential sums and character sums of polynomials
Open Mathematics, 2019 The main aim of this paper is to use the analytic methods and the properties of the classical Gauss sums to research the computational problem of one kind hybrid power mean containing the character sums of polynomials and two-term exponential sums modulo
Ma Yuankui, Zhang Wenpeng
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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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Tail bounds for sums of geometric and exponential variables [PDF]
, 2017 We give explicit bounds for the tail probabilities for sums of independent geometric or exponential variables, possibly with different parameters.
S. Janson
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Minor arcs, mean values, and restriction theory for exponential sums over smooth numbers [PDF]
Compositio Mathematica, 2014 We investigate exponential sums over those numbers ${\leqslant}x$ all of whose prime factors are ${\leqslant}y$. We prove fairly good minor arc estimates, valid whenever $\log ^{3}x\leqslant y\leqslant x^{1/3}$.
Adam J. Harper
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Decoupling, exponential sums and the Riemann zeta function [PDF]
, 2014 We establish a new decoupling inequality for curves in the spirit of [B-D1], [B-D2] which implies a new mean value theorem for certain exponential sums crucial to the Bombieri-Iwaniec method as developed further in [H].
J. Bourgain
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FEBS Letters, EarlyView.The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li +2 more
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