Results 31 to 40 of about 2,696 (60)
On an Erdős similarity problem in the large
Bulletin of the London Mathematical Society, Volume 57, Issue 6, Page 1801-1818, June 2025.Abstract In a recent paper, Kolountzakis and Papageorgiou ask if for every ε∈(0,1]$\epsilon \in (0,1]$, there exists a set S⊆R$S \subseteq \mathbb {R}$ such that |S∩I|⩾1−ε$\vert S \cap I\vert \geqslant 1 - \epsilon$ for every interval I⊂R$I \subset \mathbb {R}$ with unit length, but that does not contain any affine copy of a given increasing sequence ...
Xiang Gao +2 more
wiley +1 more source
On the isomorphism problem for monoids of product‐one sequences
Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1482-1495, May 2025.Abstract Let G1$G_1$ and G2$G_2$ be torsion groups. We prove that the monoids of product‐one sequences over G1$G_1$ and over G2$G_2$ are isomorphic if and only if the groups G1$G_1$ and G2$G_2$ are isomorphic. This was known before for abelian groups.
Alfred Geroldinger, Jun Seok Oh
wiley +1 more source
Ramanujan's Theta Functions and Parity of Parts and Cranks of Partitions. [PDF]
Ann Comb, 2023 Banerjee K, Dastidar MG.
europepmc +1 more source
, 2000 We present a ``method'' for bijective proofs for determinant identities, which is based on translating determinants to Schur functions by the Jacobi--Trudi identity.
Fulmek, Markus, Kleber, Michael
core +1 more source
The toggle group, homomesy, and the Razumov-Stroganov correspondence
, 2015 The Razumov-Stroganov correspondence, an important link between statistical physics and combinatorics proved in 2011 by L. Cantini and A. Sportiello, relates the ground state eigenvector of the O(1) dense loop model on a semi-infinite cylinder to a ...
Striker, Jessica
core +1 more source
The mysterious story of square ice, piles of cubes, and bijections. [PDF]
Proc Natl Acad Sci U S A, 2020 Fischer I, Konvalinka M.
europepmc +1 more source
Method for constructing bijections for classical partition identities. [PDF]
Proc Natl Acad Sci U S A, 1981 Garsia AM, Milne SC.
europepmc +1 more source
A MacMahon analysis view of cylindric partitions. [PDF]
Ramanujan JLi R, Uncu AK.
europepmc +1 more source
Codes, graphs and schemes from nonlinear functions. [PDF]
Dam, E.R. van, Fon-der-Flaass, D.
core +1 more source