Results 31 to 40 of about 167 (162)
Lax–Phillips orbit counting in higher rank
Abstract Given a discrete lattice, Γ
Alex Kontorovich, Christopher Lutsko
wiley +1 more source
Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time
Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
wiley +1 more source
Counting 5‐isogenies of elliptic curves over Q$\mathbb {Q}$
Abstract We show that the number of 5‐isogenies of elliptic curves defined over Q$\mathbb {Q}$ with naive height bounded by H>0$H > 0$ is asymptotic to C5·H1/6(logH)2$C_5\cdot H^{1/6} (\log H)^2$ for some explicitly computable constant C5>0$C_5 > 0$. This settles the asymptotic count of rational points on the genus zero modular curves X0(m)$\mathcal {X}
Santiago Arango‐Piñeros +3 more
wiley +1 more source
Wiener Tauberian theorems for vector-valued functions
Different versions of Wiener's Tauberian theorem are discussed for the generalized group algebra L1(G,A) (of integrable functions on a locally compact abelian group G taking values in a commutative semisimple regular Banach algebra A) using A-valued ...
K. Parthasarathy, Sujatha Varma
doaj +1 more source
On the Exit Time of a Random Walk with Positive Drift [PDF]
We study a random walk with positive drift in the first quadrant of the plane. For a given connected region $\mathcal{C}$ of the first quadrant, we analyze the number of paths contained in $\mathcal{C}$ and the first exit time from $\mathcal{C}$.
Michael Drmota, Wojciech Szpankowski
doaj +1 more source
Rational points in a family of conics over F2(t)$\mathbb {F}_2(t)$
Abstract Serre famously showed that almost all plane conics over Q$\mathbb {Q}$ have no rational point. We investigate versions of this over global function fields, focusing on a specific family of conics over F2(t)$\mathbb {F}_2(t)$ which illustrates new behavior.
Daniel Loughran, Judith Ortmann
wiley +1 more source
TAUBERIAN THEOREM FOR GENERAL MATRIX SUMMABILITY METHOD
In 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
doaj +1 more source
Heterogeneous Media Heat Transfer Simulations Based on 3D‐Fractional Parametric Laplace Kernel
This paper introduces a new Mittag–Leffler–Laplace memory kernel defined by Φ˜μ,ν,κα,ρs=∫0∞Eρ−μξκ/κξνα−1e−sξdξ, s>0, and develops a unified framework for modeling heat transfer in heterogeneous media with nonlocal temporal memory. The proposed kernel combines algebraic singularity, stretched attenuation, and fractional relaxation through independent ...
Rabha W. Ibrahim +3 more
wiley +1 more source
We define statistical logarithmic summability of strongly measurable fuzzy valued functions and we give slowly decreasing type Tauberian conditions under which statistical limit at infinity and statistical logarithmic summability of strongly measurable ...
Enes Yavuz +2 more
doaj +1 more source
Factorable matrices and their associated Riesz matrices; pp. 379–386 [PDF]
A factorable matrix is a natural generalization of a Riesz matrix. When considering the properties of factorable matrices, many authors have used methods similar to the methods for Riesz matrices.
Maria Zeltser
doaj +1 more source

