Results 21 to 30 of about 644,231 (86)
Multiplicative irreducibility of shifted multiplicative subgroups
Abstract In a recent breakthrough, Kalmynin resolved conjectures of Lev–Sonn and Sárközy on additive decompositions of multiplicative subgroups of prime fields. In this paper, inspired by a related conjecture of Sárközy, we prove multiplicative analogues of Kalmynin's results. We show that for every proper multiplicative subgroup G$G$, the shifted set (
Seoyoung Kim, Chi Hoi Yip, Semin Yoo
wiley +1 more source
A combinatorial interpretation of the connection constants of persistent sequences of polynomials
We give a combinatorial interpretation of the connection constants for persistent sequences of polynomials in terms of weighted binary paths. In this way we give bijective proofs for many formulas which generalize several classical identities and ...
Ottavio M. D’Antona +3 more
core +1 more source
Geometrical Theory on Combinatorial Manifolds [PDF]
Topological and differential structures such as those of d-pathwise connected, homotopy classes, fundamental d-groups in topology and tangent vector fields, tensor fields, connections, Minkowski norms in differential geometry on these finitely ...
Mao, Linfan
core +1 more source
Factorizations in Hecke algebras I: Long‐cycle factorizations and Jucys–Murphy elements
Abstract Given a permutation, there is a well‐developed literature studying the number of ways one can factor it into a product of other permutations subject to certain conditions. We initiate the analogous theory for the type‐A$A$ Iwahori–Hecke algebra by generalizing the notion of factorization in terms of the Jucys–Murphy elements.
Jose Bastidas +5 more
wiley +1 more source
Abstract We give a formula with explicit constants relating the subsurface projection dY(ν−,ν+)$d_Y(\nu ^-,\nu ^+)$ of the end invariants ν−,ν+$\nu ^-,\nu ^+$ of a hyperbolic 3‐manifold Q$Q$ diffeomorphic to S×R$S\times \mathbb {R}$ and the length of the geodesic representative in Q$Q$ of the multicurve ∂Y$\partial Y$.
Gabriele Viaggi
wiley +1 more source
International Journal of Mathematical Combinatorics, Vol.7A [PDF]
The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 460 pages approx.
Mao, Linfan (Editor-in-Chief)
core +1 more source
On Matrix‐Based Cryptography Using Matrix Norm and Special Integer Sequences
ABSTRACT In this paper, a novel matrix‐based encryption approach based on the Affine Hill cipher is presented. The key matrix is constructed using the Narayana integer sequence, and the Frobenius norm of the key matrix is used as a scaling factor in the key construction.
Melih Göcen +1 more
wiley +1 more source
Cluster scattering diagrams via quiver moduli and tight gradings
Abstract We study rank‐2 cluster scattering diagrams through moduli spaces of quiver representations and a recently developed combinatorial framework of tight gradings. Combining quiver‐theoretic and combinatorial methods, we prove and extend a collection of conjectures posed by Elgin–Reading–Stella concerning the structural and enumerative properties ...
Amanda Burcroff +4 more
wiley +1 more source
Reasoning on transition from manipulative strategies to general procedures in solving counting problems [PDF]
We describe the procedures used by 11- to 12-year-old students for solving basic counting problems in order to analyse the transition from manipulative strategies involving direct counting to the use of the multiplication principle as a general procedure
Figueiras, Lourdes, Cañadas, María C.
core
Fock space of local fields of the discrete GFF and its scaling limit bosonic CFT
Abstract To connect conformal field theories (CFTs) to probabilistic lattice models, recent works of Hongler et al. and Adame‐Carrillo have introduced a novel definition of local fields of the lattice models. Local fields in this picture are probabilistically concrete: they are built from random variables in the model.
David Adame‐Carrillo +2 more
wiley +1 more source

