Results 41 to 50 of about 1,143,114 (202)

On the classification of duality webs for graded quivers

open access: yesJournal 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]

open access: yesDiscrete 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

Grain Boundary Structure Ordering via Electroshock Treatment Enhances Strength‐Ductility Synergy

open access: yesAdvanced Science, EarlyView.
Electroshock treatment triggers atomic rearrangement, transforming disordered grain boundaries into ordered states without inducing recrystallization. This grain boundary ordering effectively relieves strain concentration and strengthens boundaries, enabling a simultaneous improvement in both strength and ductility.
Jiancheng Chen   +6 more
wiley   +1 more source

A number theoretic method for high order correlations of the Ulam map

open access: yes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

open access: yesAnnals 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

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone   +3 more
wiley   +1 more source

On the Relationship Between Matiyasevich's and Smorynski's Theorems

open access: yesScientific 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]

open access: yesEducaţia 21
In 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

On 7‐adic Galois representations for elliptic curves over Q$\mathbb {Q}$

open access: yesProceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract In recent years, significant progress has been made on Mazur's Program B, with many authors beginning a systematic classification of all possible images of p$p$‐adic Galois representations attached to elliptic curves over Q$\mathbb {Q}$. Currently, the classification is only complete for p∈{2,3,13,17}$p \in \lbrace 2,3,13,17\rbrace$.
Lorenzo Furio, Davide Lombardo
wiley   +1 more source

The Number of Partitions of a Set and Superelliptic Diophantine Equations [PDF]

open access: yes, 2020
In this chapter we start by presenting some key results concerning the number of ordered k-partitions of multisets with equal sums. For these we give generating functions, recurrences and numerical examples.
Dorin Andrica   +5 more
core   +1 more source

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