Results 41 to 50 of about 1,205,224 (205)
ON A DIOPHANTINE EQUATION OF CASSELS [PDF]
Glasgow Mathematical Journal, 2005 In 1985 J.W.S. Cassels solved the problem of determening all the triples of consecutive cubes whose sum is a square, \textit{i.e.} he solved completely the elliptic Diophantine equation \(\,y^2=3x(x^2+2)\) (the solutions for \(x\) are \(0\), \(1\), \(2\) and \(24\)).
Luca, F., Walsh, P. G.
openaire +2 more sources
On the classification of duality webs for graded quivers
Journal of High Energy Physics, 2020 We study the m-graded quiver theories associated to CY (m+2)-folds and their order (m + 1) dualities. We investigate how monodromies give rise to mutation invariants, which in turn can be formulated as Diophantine equations characterizing the space of ...
Sebastián Franco +2 more
doaj +1 more source
S-Restricted Compositions Revisited [PDF]
Discrete Mathematics & Theoretical Computer Science, 2017 An S-restricted composition of a positive integer n is an ordered partition of n where each summand is drawn from a given subset S of positive integers. There are various problems regarding such compositions which have received attention in recent years.
Behrouz Zolfaghari +2 more
doaj +1 more source
On simultaneous diophantine equations [PDF]
Acta Arithmetica, 2003 The authors investigate the number of solutions of the simultaneous Diophantine equations \[ x^2- (M^2+4)y^2= -4, \quad y^2-dz^2=1, \tag{1} \] where \(M\) is assumed to be an odd positive integer and where \(d\) is a squarefree integer. They show that for squarefree \(d\) with at most four distinct prime factors, system (1) can have at most one ...
Katayama, Shin-ichi, Levesque, Claude
openaire +1 more source
AIChE Journal, EarlyView.Abstract Thermophilic anaerobic digestion (AD) is an attractive process due to its higher biogas yield compared to mesophilic digestion. To mitigate its higher heating demand and potential process instability, a dual‐layer control architecture comprising a decision‐making layer and an adaptive model predictive control (MPC) system is proposed.
Ali Moradvandi +3 more
wiley +1 more source
A number theoretic method for high order correlations of the Ulam map
四川大学学报. 自然科学版, 2020 In this paper, a number theoretic method is introduced to calculate the high order correlation functions of the Ulam map. In this method, the calculation is firstly transformed into solving a class of exponential Diophantine equations with variable ...
Zhou Xing-Wang
doaj
On the Diophantine Equation x2 – kxy + ky2 + ly = 0, l = 2n
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 We consider the Diophantine equation x2-kxy+ky2+ ly = 0 for l = 2n and determine for which values of the odd integer k, it has a positive integer solution x and y.
Mavecha Sukrawan
doaj +1 more source
Weighted veronese rings via convex semigroups
Bulletin of the London Mathematical Society, Volume 58, Issue 11, November 2026.Abstract We determine several properties of two‐dimensional normal affine semigroup rings, and in particular of weighted Veronese rings, including determinantal presentations, Gröbner bases, graded Hilbert series and graded Betti numbers, the structure of their associated graded rings, and their Koszul property.
Bek Chase +6 more
wiley +1 more source
On the Relationship Between Matiyasevich's and Smorynski's Theorems
Scientific Annals of Computer Science, 2019 Let R be a non-zero subring of Q with or without 1. We assume that for every positive integer n there exists a computable surjection from N onto Rn. Every R \in {Z,Q} satisfi es these conditions.
Agnieszka Peszek, Apoloniusz Tyszka
doaj +1 more source
From Diophantian Equations to Matrix Equations (Iv) - Diophantian Equations of Higher Degree [PDF]
Educaţia 21In the context of training and developing the skills of teachers, students and children to solve exercises and problems in Mathematics, in this paper we propose to continue the steps started in the first three papers with the same generic title and ...
Teodor Dumitru Vălcan
doaj +1 more source