Results 51 to 60 of about 3,795 (162)
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
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Optimal Bounds for the Variance of Self‐Intersection Local Times
International Journal of Stochastic Analysis, Volume 2016, Issue 1, 2016., 2016 For a Zd‐valued random walk (Sn) n∈N0, let l(n, x) be its local time at the site x∈Zd. For α∈N, define the α‐fold self‐intersection local time as Ln(α)≔∑xl(n, x) α. Also let LnSRW(α) be the corresponding quantities for the simple random walk in Zd. Without imposing any moment conditions, we show that the variance of the self‐intersection local time of ...
George Deligiannidis +2 more
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TAUBERIAN THEOREM FOR GENERAL MATRIX SUMMABILITY METHOD
Ural Mathematical JournalIn this paper, we prove certain Littlewood–Tauberian theorems for general matrix summability method by imposing the Tauberian conditions such as slow oscillation of usual as well as matrix generated sequence, and the De la Vallée Poussin means of real ...
Bidu Bhusan Jena +2 more
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On a theorem of W. Meyer-König and H. Tietz
International Journal of Mathematics and Mathematical Sciences, 2005 Let (un) be a sequence of real numbers and let L be an additive limitable method with some property. We prove that if the classical control modulo of the oscillatory behavior of (un) belonging to some class of sequences is a Tauberian condition for L ...
İBrahım Çanak +2 more
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Weighted $\beta\gamma$-summability of fuzzy functions of order $\theta$
, 2016 The concept of weighted $\beta\gamma$ - summability of order $\theta$ in case of fuzzy functions is introduced and classified into ordinary and absolute sense. Several inclusion relations among the sets are investigated.
Ojha, Sarita, Srivastava, P. D.
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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
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The Liouville theorem for a class of Fourier multipliers and its connection to coupling
Bulletin of the London Mathematical Society, Volume 56, Issue 7, Page 2374-2394, July 2024.Abstract The classical Liouville property says that all bounded harmonic functions in Rn$\mathbb {R}^n$, that is, all bounded functions satisfying Δf=0$\Delta f = 0$, are constant. In this paper, we obtain necessary and sufficient conditions on the symbol of a Fourier multiplier operator m(D)$m(D)$, such that the solutions f$f$ to m(D)f=0$m(D)f=0$ are ...
David Berger +2 more
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Density by Moduli and Lacunary Statistical Convergence
Abstract and Applied Analysis, 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 ...
Vinod K. Bhardwaj, Shweta Dhawan
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Extended Tauberian conditions for \((C,1)\) summability method
Applied Mathematics Letters, 2011 The authors generalize the well-known classical Tauberian theorem given by \textit{G. H. Hardy} [Lond. M. S. Proc. (2) 8, 301--320 (1910; JFM 41.0278.02)]. Namely, they retrieve slow oscillation of a real sequence \((u_n)\) from \((C, 1)\) summability of its generator sequence by adding some conditions on the general control modulus of the oscillatory ...
Totur, Ümi̇t, Di̇k, Mehmet
openaire +2 more sources
Critical case stochastic phylogenetic tree model via the Laplace transform
, 2013 Birth-and-death models are now a common mathematical tool to describe branching patterns observed in real-world phylogenetic trees. Liggett and Schinazi (2009) is one such example.
Bartoszek, Krzysztof, Krzeminski, Michal
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