Results 21 to 30 of about 738 (156)
A probabilistic approach to analytic arithmetic on algebraic function fields [PDF]
, 2005 Knopfmacher [13] introduced the idea of an additive arithmetic semigroup as a general setting for an algebraic analogue of number theory. Within his framework, Zhang [19] showed that the asymptotic distribution of the values taken by additive functions ...
Arratia, R, Tavaré, S, Barbour, A D
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Updatable Closed‐Form Evaluation of Arbitrarily Complex Multiport Network Connections
Advanced Electronic Materials, EarlyView.The inverse design of electrically large wave devices often uses reduced‐order multiport models with discrete optimization, requiring many evaluations of complex interconnections between subsystems that differ only in a few blocks. This paper introduces a closed‐form framework enabling efficient Woodbury low‐rank updates of related, previous ...
Hugo Prod'homme, Philipp del Hougne
wiley +1 more source
Arithmetic rigidity and units in group rings [PDF]
, 2001 For any finite group G the group U(Z[G]) of units in the integral group ring Z[G]is an arithmetic group in a reductive algebraic group, namely the Zariski closure of SL1 (Q[G]).
Johnson, F.E.A., F. E. A. Johnson
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Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
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Studies on the number theory of orders [PDF]
, 1982 Bibliography: pages 78-81.In the nineteenth century no distinction was drawn between maximal and nonmaximal orders in a numberfield. Most of the work on orders in this period was done by Dedekind and Kronecker.
Omar, Mohammed Rafiq
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, 2012 In this invited talk,1 we introduce the notion of arithmetic codex, or codex for short. It encompasses several well-established notions from cryptography (arithmetic secret sharing schemes, which enjoy additive as well as multiplicative properties) and ...
Xing, C. (Chaoping) +8 more
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Journal of Combinatorial Designs, EarlyView.ABSTRACT Capsets are subsets of F 3 n ${{\mathbb{F}}}_{3}^{n}$ with no three points on a line, and a capset is complete if it is not a subset of a larger capset. We study some new constructions of capsets via algebraic equations over extensions of F 3 ${{\mathbb{F}}}_{3}$.
Cassie Grace, José Felipe Voloch
wiley +1 more source
Belyi Function whose Grothendieck Dessin is a Flower Tree with Two Ramification Indices [PDF]
, 2005 In this paper we present an explicit construction of Belyi functions whose dessins are flower trees (i.e., graphs of diameter 4) with two ramification indices.
Komatsu, Toru
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Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14
Mathematische Nachrichten, EarlyView.ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
wiley +1 more source
Quadratic Forms and Linear Algebraic Groups [PDF]
, 2013 Topics discussed at the workshop “Quadratic Forms and Linear Algebraic Groups” included besides the algebraic theory of quadratic and Hermitian forms and their Witt groups several aspects of the theory of linear algebraic groups and homogeneous varieties,
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