Results 71 to 80 of about 268 (182)

Classifying three-character RCFTs with Wronskian index equalling 0 or 2

Journal of High Energy Physics, 2021
In the modular linear differential equation (MLDE) approach to classifying rational conformal field theories (RCFTs) both the MLDE and the RCFT are identified by a pair of non-negative integers [n,l].
Arpit Das, Chethan N. Gowdigere, Jagannath Santara   +2 more
doaj   +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

Linear Diophantine equations and conjugator length in 2‐step nilpotent groups

Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract We establish upper bounds on the lengths of minimal conjugators in 2‐step nilpotent groups. These bounds exploit the existence of small integral solutions to systems of linear Diophantine equations. We prove that in some cases these bounds are sharp.
M. R. Bridson, T. R. Riley
wiley   +1 more source

Padovan and Perrin numbers of the form 7ᵗ-5ᶻ-3ʸ-2ˣ [PDF]

Notes on Number Theory and Discrete Mathematics
Consider the Padovan sequence (pₙ)ₙ≥₀ given by pₙ₊₃=pₙ₊₁+pₙ with p₀=p₁=p₂=1. Its companion sequence, the Perrin sequence (℘ₙ)ₙ≥₀, follows the same recursive formula as the Padovan numbers, but with different initial values: p₀=3, p₁=0 and p₂=2.
Djamel Bellaouar, Özen Özer, Noureddine Azzouza   +2 more
doaj   +1 more source

Arithmetic progressions at the Journal of the LMS

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We discuss the papers P. Erdős and P. Turán, On some sequences of integers, J. London Math. Soc. (1) 11 (1936), 261–264 and K. F. Roth, On certain sets of integers, J. London Math. Soc. (1) 28 (1953), 104–109, both foundational papers in the study of arithmetic progressions in sets of integers, and their subsequent influence.
Ben Green
wiley   +1 more source

Diophantine tuples and product sets in shifted powers

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Let k⩾2$k\geqslant 2$ and n≠0$n\ne 0$. A Diophantine tuple with property Dk(n)$D_k(n)$ is a set of positive integers A$A$ such that ab+n$ab+n$ is a k$k$th power for all a,b∈A$a,b\in A$ with a≠b$a\ne b$. Such generalizations of classical Diophantine tuples have been studied extensively.
Ernie Croot, Chi Hoi Yip
wiley   +1 more source

Optimising Wave Energy Plant Location Through Neutrosophic Multi‐Criteria Group Decision‐Making

CAAI Transactions on Intelligence Technology, Volume 11, Issue 1, Page 167-189, February 2026.
ABSTRACT The global shift towards sustainable energy has intensified research into renewable sources, particularly wave energy. Pakistan, with its long coastline, holds significant potential for wave energy development. However, identifying optimal locations for wave energy plants involves evaluating complex, multi‐faceted criteria.
Hafiz Muhammad Athar Farid, Ayesha Razzaq, Muhammad Riaz, Tapan Senapati, Sarbast Moslem   +4 more
wiley   +1 more source

Discovery of Exact Equations for Integer Sequences

Mathematics
Equation discovery, also known as symbolic regression, is the field of machine learning that studies algorithms for discovering quantitative laws, expressed as closed-form equations or formulas, in collections of observed data.
Boštjan Gec, Sašo Džeroski, Ljupčo Todorovski   +2 more
doaj   +1 more source

On Systems of Linear Diophantine Equations [PDF]

Mathematics Magazine, 1996
Introduction Something happened to me recently I would wager has happened to many who read this note. Teaching a new topic, you cannot understand one of the proofs. Your first attempt to fill the gap fails. You look through your books for an answer. Next, you ask colleagues, go to the library, maybe even use the interlibrary loan. All in vain.
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A universal example for quantitative semi‐uniform stability

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We characterise quantitative semi‐uniform stability for C0$C_0$‐semigroups arising from port‐Hamiltonian systems, complementing recent works on exponential and strong stability. With the result, we present a simple universal example class of port‐Hamiltonian C0$C_0$‐semigroups exhibiting arbitrary decay rates slower than t−1/2$t^{-1/2}$.
Sahiba Arora, Felix L. Schwenninger, Ingrid Vukusic, Marcus Waurick   +3 more
wiley   +1 more source