Results 71 to 80 of about 4,013,096 (184)

HNN extensions and embedding theorems for groups

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract The Higman–Neumann–Neumann (HNN) paper of 1949 is a landmark of group theory in the 20th century. The proof of its main theorem covers less than a page and uses only pre‐existing technology, but the construction that it introduced, the HNN extension, quickly became one of the principal tools of combinatorial group theory, widely used to build ...
Martin R. Bridson, Carl‐Fredrik Nyberg‐Brodda   +1 more
wiley   +1 more source

On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI. [PDF]

, 2011
Painleve's transcendental differential equation PVI may be expressed as the consistency condition for a pair of linear differential equations with 2 by 2 matrix coefficients with rational entries.
Blower, Gordon
core   +4 more sources

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

Diophantine Equations and Linear Recurrences [PDF]

, 2020
Ph.D. Thesis defense.
openaire   +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

An inhomogeneous wave equation and non-linear Diophantine approximation [PDF]

, 2008
A non-linear Diophantine condition involving perfect squares and arising from an inhomogeneous wave equation on the torus guarantees the existence of a smooth solution.
Kristensen, S., Beresnevich, V., Dodson, M.M., Levesley, J.   +3 more
core   +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

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

On Linear Diophantine Equations and Fibonacci Numbers

Journal of Number Theory, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Performance comparison of quantum-safe multivariate polynomial public key encapsulation algorithm

EURASIP Journal on Information Security
A novel quantum-safe key encapsulation algorithm, called Multivariate Polynomial Public Key (MPPK), was recently proposed by Kuang, Perepechaenko, and Barbeau.
Randy Kuang, Maria Perepechaenko, Ryan Toth, Michel Barbeau   +3 more
doaj   +1 more source