Results 71 to 80 of about 983 (218)

Double‐jump phase transition for the reverse Littlewood–Offord problem

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract Erdős conjectured in 1945 that for any unit vectors v1,…,vn$v_1, \ldots, v_n$ in R2$\mathbb {R}^2$ and signs ε1,…,εn$\varepsilon _1, \ldots, \varepsilon _n$ taken independently and uniformly in {−1,1}$\lbrace -1,1\rbrace$, the random Rademacher sum σ=ε1v1+⋯+εnvn$\sigma = \varepsilon _1 v_1 + \cdots + \varepsilon _n v_n$ satisfies ∥σ∥2⩽1$\Vert \
Lawrence Hollom, Julien Portier, Victor Souza   +2 more
wiley   +1 more source

The extensibility of the Diophantine triple {2, b, c}

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
The aim of this paper is to consider the extensibility of the Diophantine triple {2, b, c}, where 2 < b < c, and to prove that such a set cannot be extended to an irregular Diophantine quadruple.
Adžaga Nikola, Filipin Alan, Jurasić Ana   +2 more
doaj   +1 more source

Random Diophantine equations in the primes II

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract Let d⩾2$d\geqslant 2$ and n⩾d$n\geqslant d$ with (d,n)∉{(2,2),(3,3)}$(d,n)\notin \lbrace (2,2),(3,3)\rbrace$. We consider homogeneous Diophantine equations of degree d$d$ in n+1$n+1$ variables and whether they have solutions in the primes.
Philippa Holdridge
wiley   +1 more source

Linear Congruences, Linear Diophantine Equations and Software Support [PDF]

, 2020
Ključni pojmovi iz elementarne teorije brojeva koji su obrađeni u ovom radu su djeljivost, kongruencije i diofantske jednadžbe. U kontekstu djeljivosti, bitno je spomenuti pojam najvećeg zajedničkog djelitelja koji se računa pomoću Euklidovog algoritma ...
Seletković, Nikola
core  

An Extensive Review of the Literature Using the Diophantine Equations to Study Fuzzy Set Theory

International Journal of Mathematics and Mathematical Sciences
Every field in mathematics has made significant progress in research with fuzzy sets. Numerous application fields were discovered in both empirical and theoretical investigations, ranging from information technology to medical technology, from the ...
K. M. Abirami, Narayanan Veena, R. Srikanth, P. Dhanasekaran   +3 more
doaj   +1 more source

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré, Federico Milanesio, Marcelo Oyarzo, Matteo Santoro, Mario Trigiante   +4 more
wiley   +1 more source

Semigroup ideals and linear diophantine equations

Linear Algebra and its Applications, 1999
Let \(S\) be a finitely generated commutative cancellative monoid, and let \(\{n_1,\dots,n_r\}\subset S\) be a set of generators for \(S\). Let \(k\) be a field, \(R=k[S]\) the associated semigroup \(k\)-algebra, \(R=k[X_1,\dots,X_r]\) the polynomial ring, and \(\varphi\colon R\to k[S]\) the \(k\)-algebra homomorphism given by \(\varphi(X_i)=n_i\). The
openaire   +2 more sources

Solving the n $n$‐Player Tullock Contest

Journal of Public Economic Theory, Volume 28, Issue 2, April 2026.
ABSTRACT The n $n$‐player Tullock contest with complete information is known to admit explicit solutions in special cases, such as (i) homogeneous valuations, (ii) constant returns, and (iii) two contestants. But can the model be solved more generally?
Christian Ewerhart
wiley   +1 more source

SYSTEMS OF LINEAR DIOPHANTINE EQUATIONS AND DIS-EQUATIONS COMPLEXITY [PDF]

, 2015
Series of problems concerning systems of linear Diophantine equations and dis-equations with explicitly given parameters are offered below. For every problem from a series the conditions upon the parameters under which the problem is NP-complete are ...
Nikolay N Kosovskii, Nikolay K Kosovskii
core  

Complete Solving of Linear Diophantine Equations and Inequations without Adding Variables [PDF]

, 1995
. In this paper, we present an algorithm for solving directly linear Diophantine systems of both equations and inequations. Here directly means without adding slack variables for encoding inequalities as equalities.
Evelyne Contejean, Farid Ajili
core   +1 more source