Results 41 to 50 of about 1,023 (102)
Statistics for traces of cyclic trigonal curves over finite fields [PDF]
, 2009 We study the variation of the trace of the Frobenius endomorphism associated to a cyclic trigonal curve of genus g over a field of q elements as the curve varies in an irreducible component of the moduli space.
Achter +11 more
core +2 more sources
Euclidean algorithms are Gaussian over imaginary quadratic fields
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract We prove that the distribution of the number of steps of the Euclidean algorithm of rationals in imaginary quadratic fields with denominators bounded by N$N$ is asymptotically Gaussian as N$N$ goes to infinity, extending a result by Baladi and Vallée for the real case.
Dohyeong Kim, Jungwon Lee, Seonhee Lim
wiley +1 more source
Density by Moduli and Lacunary Statistical Convergence
Abstract and Applied Analysis, Volume 2016, Issue 1, 2016., 2016 We have introduced and studied a new concept of f‐lacunary statistical convergence, where f is an unbounded modulus. It is shown that, under certain conditions on a modulus f, the concepts of lacunary strong convergence with respect to a modulus f and f‐lacunary statistical convergence are equivalent on bounded sequences.
Vinod K. Bhardwaj +2 more
wiley +1 more source
In-Degree and PageRank of Web pages: Why do they follow similar power laws? [PDF]
, 2006 The PageRank is a popularity measure designed by Google to rank Web pages. Experiments confirm that the PageRank obeys a `power law' with the same exponent as the In-Degree.
Litvak, N. +2 more
core +2 more sources
Simple Barban–Davenport–Halberstam type asymptotics for general sequences
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract We prove two estimates for the Barban–Davenport–Halberstam type variance of a general complex sequence in arithmetic progressions. The proofs are elementary, and our estimates are capable of yielding an asymptotic for the variance when the sequence is sufficiently nice, and is either somewhat sparse or is sufficiently like the integers in its ...
Adam J. Harper
wiley +1 more source
A Tandem Fluid Network with L\'evy Input in Heavy Traffic [PDF]
, 2015 In this paper we study the stationary workload distribution of a fluid tandem queue in heavy traffic. We consider different types of L\'evy input, covering compound Poisson, $\alpha$-stable L\'evy motion (with ...
Boxma, Onno J. +2 more
core +4 more sources
On Ikehara type Tauberian theorems with $O(x^��)$ remainders [PDF]
, 2016 Motivated by analytic number theory, we explore remainder versions of Ikehara's Tauberian theorem yielding power law remainder terms. More precisely, for $f:[1,\infty)\rightarrow{\mathbb R}$ non-negative and non-decreasing we prove $f(x)-x=O(x^ )$ with $ <1$ under certain assumptions on $f$.
openaire +1 more source
Regularity and asymptotics of densities of inverse subordinators
Transactions of the London Mathematical Society, Volume 11, Issue 1, December 2024.Abstract In this article, densities (and their derivatives) of subordinators and inverse subordinators are considered. Under minor restrictions, generally milder than the existing in the literature, employing a useful modification of the saddle point method, we obtain the large asymptotic behaviour of these densities (and their derivatives) for a ...
Giacomo Ascione +2 more
wiley +1 more source
Local decay of $C_0$-semigroups with a possible singularity of logarithmic type at zero
, 2017 We prove decay rates for a vector-valued function $f$ of a non-negative real variable with bounded weak derivative, under rather general conditions on the Laplace transform $\hat{f}$.
Stahn, Reinhard
core +1 more source
Géza Freud's work on Tauberian remainder theorems
Journal of Approximation Theory, 1986 This illuminating survey paper, dedicated to the memory of Géza Freud, states the Tauberian theorems of Tauber, Hardy and Littlewood; next Freud's Tauberian remainder theorem, and, as an essential tool for the proof, Freud's approximation theorem are given. Finally, more general Tauberian remainder theorems, due to the author, are discussed.
openaire +2 more sources