Results 81 to 90 of about 84,430 (244)
A theorem concerning Fourier transforms: A survey
Abstract In this note, we highlight the impact of the paper G. H. Hardy, A theorem concerning Fourier transforms, J. Lond. Math. Soc. (1) 8 (1933), 227–231 in the community of harmonic analysis in the last 90 years, reviewing, on one hand, the direct generalizations of the main results and, on the other hand, the different connections to related areas ...
Aingeru Fernández‐Bertolin, Luis Vega
wiley +1 more source
The first two group theory papers of Philip Hall
Abstract In this paper, we discuss the first two papers on soluble groups written by Philip Hall and their influence on the study of finite groups. The papers appeared in 1928 and 1937 in the Journal of the London Mathematical Society.
Inna Capdeboscq
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Introducing $n$-Magic Groups and Characterizing $3$-Magic Finitely Generated Abelian Groups [PDF]
D. A. Bowerman +2 more
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Theta divisors and permutohedra
Abstract We establish an intriguing relation of the smooth theta divisor Θn$\Theta ^n$ with permutohedron Πn$\Pi ^n$ and the corresponding toric variety XΠn$X_\Pi ^n$. In particular, we show that the generalised Todd genus of the theta divisor Θn$\Theta ^n$ coincides with h$h$‐polynomial of permutohedron Πn$\Pi ^n$ and thus is different from the same ...
V. M. Buchstaber, A. P. Veselov
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Combination theorems for Wise's power alternative
Abstract We show that Wise's power alternative is stable under certain group constructions, use this to prove the power alternative for new classes of groups and recover known results from a unified perspective. For groups acting on trees, we introduce a dynamical condition that allows us to deduce the power alternative for the group from the power ...
Mark Hagen +2 more
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A classification of the finite two-generated cyclic-by-abelian groups of prime power order [PDF]
Osnel Broche +2 more
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Siegel–Veech constants for cyclic covers of generic translation surfaces
Abstract We compute the asymptotic number of cylinders, weighted by their area to any nonnegative power, on any cyclic branched cover of any generic translation surface in any stratum. Our formulae depend only on topological invariants of the cover and number‐theoretic properties of the degree: in particular, the ratio of the related Siegel–Veech ...
David Aulicino +4 more
wiley +1 more source
Uniform finite presentation for groups of polynomial growth
Uniform finite presentation for groups of polynomial growth, Discrete Analysis 2025:1, 29 pp. Let $G$ be a finitely generated infinite group with generators $a_1,\dots,a_k$. The _ball of radius_ $r$ in $G$ is defined to be the set of all elements of $G$
Philip Easo, Tom Hutchcroft
doaj +1 more source
The modular automorphisms of quotient modular curves
Abstract We obtain the modular automorphism group of any quotient modular curve of level N$N$, with 4,9∤N$4,9\nmid N$. In particular, we obtain some unexpected automorphisms of order 3 that appear for the quotient modular curves when the Atkin–Lehner involution w25$w_{25}$ belongs to the quotient modular group. We also prove that such automorphisms are
Francesc Bars, Tarun Dalal
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For nonzero coprime integers a and b, a positive integer l is said to be good with respect to a and b if there exists a positive integer k such that l divides ak + bk. Since the early 1990s, the notion of good integers has attracted considerable attention from researchers. This continued interest stems from both their elegant number‐theoretic structure
Somphong Jitman, Anwar Saleh Alwardi
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