Results 61 to 70 of about 245,402 (215)
Journal of Combinatorial Designs, Volume 34, Issue 10, Page 459-463, October 2026.ABSTRACT Capsets are subsets of 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. In particular we construct the smallest known complete capsets with size proportional to the best known lower bound.
Cassie Grace, José Felipe Voloch
wiley +1 more source
Operads in algebraic combinatorics
CoRR, 2017 The main ideas developed in this habilitation thesis consist in endowing combinatorial objects (words, permutations, trees, Young tableaux, etc.) with operations in order to construct algebraic structures. This process allows, by studying algebraically the structures thus obtained (changes of bases, generating sets, presentations, morphisms ...
openaire +3 more sources
Newton polytopes in algebraic combinatorics [PDF]
Selecta Mathematica, 2019 30 ...
Monical, Cara +2 more
openaire +3 more sources
International Journal of Mathematical Combinatorics, Vol.1 [PDF]
, 2007 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
Asymptotics of lattice walks via analytic combinatorics in several variables [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 We consider the enumeration of walks on the two-dimensional non-negative integer lattice with steps defined by a finite set S ⊆ {±1, 0}2 . Up to isomorphism there are 79 unique two-dimensional models to consider, and previous work in this area has used ...
Stephen Melczer, Mark C. Wilson
doaj +1 more source
Bounded exponential sums with multiplicative coefficients
Mathematika, Volume 72, Issue 4, October 2026.Abstract We investigate when the exponential sum Sf(x,α):=∑n⩽xf(n)e(nα)$S_f(x,\alpha) := \sum _{n\leqslant x}f(n)\mathrm{e}(n\alpha)$ is bounded, for a multiplicative function f$f$ and α∈R$\alpha \in \mathbb {R}$. We show that under natural assumptions, Sf(x,α)$S_f(x,\alpha)$ is bounded only when f$f$ is very close to a twisted Dirichlet character χ(n ...
Péa Bazin, Ihor Pylaiev, Fred Tyrrell
wiley +1 more source
Lattice structure of Grassmann-Tamari orders [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 The Tamari order is a central object in algebraic combinatorics and many other areas. Defined as the transitive closure of an associativity law, the Tamari order possesses a surprisingly rich structure: it is a congruence-uniform lattice.
Thomas McConville
doaj +1 more source
Abelian number fields with frobenian conditions
Mathematika, Volume 72, Issue 4, October 2026.Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
wiley +1 more source
Zeros of polynomials in derivatives of automorphic L$L$‐functions
Mathematika, Volume 72, Issue 4, October 2026.Abstract Let Fm$\mathfrak {F}_m$ be the set of all cuspidal automorphic representations of GLm(AQ)$\mathrm{GL}_m(\mathbb {A}_{\mathbb {Q}})$, and let F(s,π)$F(s,\bm {\pi })$ be a polynomial in the derivatives of L$L$‐functions associated with representations π∈⋃m=1∞Fm$\pi \in \bigcup _{m=1}^{\infty } \mathfrak {F}_m$. We establish an asymptotic formula
Anji Dong +2 more
wiley +1 more source
International Journal of Mathematical Combinatorics, Vol.7A [PDF]
, 2013 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