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This is a slightly edited translation of a paper in Dutch which appeared in Nieuw Archief voor Wiskunde (5) 25 (2024), No.2, 87-90 on the occasion of I.G. Macdonald's death in 2023, and aimed at a very broad mathematical audience. First we review som
Externí odkaz:
http://arxiv.org/abs/2410.07882
Autor:
Lambert, Amaury
The paper written in 1925 by G. Udny Yule that we celebrate in this special issue introduces several novelties and results that we recall in detail. First, we discuss Yule (1925)'s main legacies over the past century, focusing on empirical frequency
Externí odkaz:
http://arxiv.org/abs/2409.14536
Autor:
Afgoustidis, Alexandre
Ce texte, \'ecrit pour la Gazette de la Soci\'et\'e math\'ematique de France, \'evoque les fonctions de type positif et leur histoire avant 1950 ; on y pr\'esente notamment des extraits de lettres \'ecrites par Roger Godement, qui leur consacra sa th
Externí odkaz:
http://arxiv.org/abs/2409.08668
Autor:
Nathanson, Melvyn B.
In 1942 Mann solved a famous problem, the $\alpha+\beta$ conjecture, about the lower bound of the Shnirel'man density of sums of sets of positive integers. In 1945, Dyson generalized Mann's theorem and obtained a lower bound for the Shnirel'man densi
Externí odkaz:
http://arxiv.org/abs/2407.12253
Autor:
Huebschmann, Johannes
Publikováno v:
Notices Amer. Math. Soc. 70 (2023), 1802-1813
This is an overview of the idea of a crossed module. For a group, the triple that consists of the group, its group of automorphisms, and the canonical homomorphism from the group to its group of automorphisms constitutes a crossed module. Crossed mod
Externí odkaz:
http://arxiv.org/abs/2403.15900
Publikováno v:
Antiquitates Mathematicae 17 (2023), 29-65
An alleged opposition between David Hilbert and Felix Klein as modern vs countermodern has been pursued by marxist historian Herbert Mehrtens and others. Scholars such as Epple, Grattan-Guinness, Gray, Quinn, Rowe, and recently Siegmund-Schultze and
Externí odkaz:
http://arxiv.org/abs/2402.00122
Autor:
Carlson, Jeffrey D.
The real singular cohomology ring of a homogeneous space $G/K$, interpreted as the real Borel equivariant cohomology $H^*_K(G)$, was historically the first computation of equivariant cohomology of any nontrivial connected group action. After early ap
Externí odkaz:
http://arxiv.org/abs/2312.02014
Autor:
Colliot-Thélène, Jean-Louis
This is an unchanged version of an unpublished, ``state of the art'' survey given at a conference held in Stuttgart in 2001 to celebrate the 100th birthday of Richard Brauer. This text was recently quoted in several papers on the period-index problem
Externí odkaz:
http://arxiv.org/abs/2311.02437
Autor:
Stevens, Jan
By Rabinowitsch' trick Hilbert's Nullstellensatz follows from the weak Nullstellensatz (Rabinowitsch 1929). The weak version can be shown with elimination theory. Hilbert's original proof is also based on successive elimination. Lasker obtained a new
Externí odkaz:
http://arxiv.org/abs/2309.14024
Autor:
Rodin, Andrei
Kolmogorov's Calculus of Problems is an interpretation of Heyting's intuitionistic propositional calculus published by A.N. Kolmogorov in 1932. Unlike Heyting's intended interpretation of this calculus, Kolmogorov's interpretation does not comply wit
Externí odkaz:
http://arxiv.org/abs/2307.09202