Results 61 to 70 of about 4,067 (192)
Some New Lacunary Strong Convergent Vector-Valued Sequence Spaces
Abstract and Applied Analysis, 2014 We introduce some vector-valued sequence spaces defined by a Musielak-Orlicz function and the concepts of lacunary convergence and strong (A)-convergence, where A=(aik) is an infinite matrix of complex numbers.
M. Mursaleen +2 more
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Ordinary primes for GL2$\operatorname{GL}_2$‐type abelian varieties and weight 2 modular forms
Mathematika, Volume 72, Issue 2, April 2026.Abstract Let A$A$ be a g$g$‐dimensional abelian variety defined over a number field F$F$. It is conjectured that the set of ordinary primes of A$A$ over F$F$ has positive density, and this is known to be true when g=1,2$g=1, 2$, or for certain abelian varieties with extra endomorphisms.
Tian Wang, Pengcheng Zhang
wiley +1 more source
Density by moduli and Wijsman lacunary statistical convergence of sequences of sets
Journal of Inequalities and Applications, 2017 The main object of this paper is to introduce and study a new concept of f-Wijsman lacunary statistical convergence of sequences of sets, where f is an unbounded modulus.
Vinod K Bhardwaj, Shweta Dhawan
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On permutations of lacunary series [PDF]
, 2014 It is a well known fact that for periodic measurable $f$ and rapidly increasing $(n_k)_{k \geq 1}$ the sequence $(f(n_kx))_{k\ge 1}$ behaves like a sequence of independent, identically distributed random variables.
Christoph Aistleitner +3 more
core
More lacunary partition functions
Illinois Journal of Mathematics, 2003 Let \(Q_{m,k}(n)\) denote the number of partitions of \(n\) into distinct parts \(\lambda_i\) such that (i) each \(\lambda_i\equiv 0\), \(m\pmod k\); (ii) the least part \(\lambda_1\equiv 0\pmod k\); (iii) \(2\lambda_1+ m\) does not occur as a part. Let \(Q_{m,k}^{\pm}(n)\) denote respectively the number of such partitions into evenly, oddly many parts.
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Lacunary Generating Functions for the Laguerre Polynomials
, 2013 Symbolic methods of umbral nature play an important and increasing role in the theory of special functions and in related fields like combinatorics. We discuss an application of these methods to the theory of lacunary generating functions for the Laguerre polynomials for which we give a number of new closed form expressions.
Babusci, Danilo +3 more
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lacunary directional maximal function on the Heisenberg group [PDF]
Mathematical Research Letters, 2004 Let \(K=(k_1,k_2,k_3)\in{\mathbb Z}^3\) and \(v_K=(2^{k_1}, 2^{k_2}, 2^{k_3}).\) Let \(\mathbb H^1\) be the Heisenberg group identified with \({\mathbb R}^2\times {\mathbb R}^1\) endowed with the group multiplication: \[ (p,q,t)\cdot(p',q',t')=(p+p',q+q', t+t'+2(p'\cdot q-p\cdot q')).
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Advanced Electronic Materials, Volume 12, Issue 4, 18 February 2026.Molecular charge transfer at the V12‐DyPc/MoS2 interface stabilizes trions, suppressing neutral A‐exciton emission and enabling controlled modulation of the A–‐trion population, bridging excitonic physics with polyoxometalate charge‐transport functionality.
Jean‐Pierre Glauber +10 more
wiley +1 more source
Journal of Function Spaces, 2018 We first define the notion of lacunary statistical convergence of order (α,β), and taking this notion into consideration, we introduce some seminormed difference sequence spaces over n-normed spaces with the help of Musielak-Orlicz function M=(Mk) of ...
S. A. Mohiuddine +2 more
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Invariant means and lacunary sequence spaces of order (α, β)
Demonstratio MathematicaIn this article, we use the notion of lacunary statistical convergence of order (α,β)\left(\alpha ,\beta ) to introduce new sequence spaces by lacunary sequence, invariant means defined by Musielak-Orlicz function ℳ=(ℵk){\mathcal{ {\mathcal M} }}=\left({\
Ayman-Mursaleen Mohammad +3 more
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