Results 41 to 50 of about 918 (182)
Open Computer Science, 2018 We define a computable function f from positive integers to positive integers. We formulate a hypothesis which states that if a system S of equations of the forms xi· xj = xk and xi + 1 = xi has only finitely many solutions in non-negative integers x1, .
Tyszka Apoloniusz
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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
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Glasgow Mathematical Journal, 1985 I was recently challenged to find all the cases when the sum of three consecutive integral cubes is a square; that is to find all integral solutions x, y ofy2=(x−1)3+x3+(x+1)3=3x(x2+2)This is an example of a curve of genus 1. There is an effective procedure for finding all integral points on a given curve of genus 1 ([1, Theorem 4.2], [2]): that is, it
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International Journal of Mathematics and Mathematical Sciences, 1986 It is shown how to find all integers a, b such that a + b, a2 + b2 and a3 + b3 are simultaneously perfect squares.
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Basic Diophantine Relations [PDF]
Formalized Mathematics, 2018 Summary The main purpose of formalization is to prove that two equations y a ( z )= y , y = xz are Diophantine ...
Marcin Acewicz, Karol Pak
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IEEE AccessIn multi-criteria decision-making (MCDM) situations, it is widely noticed that the resolution method is impacted by the existence of imprecise information and uncertainty in the decision maker’s assessment.
Muhammad Umar Mirza +4 more
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RETRACTED: On the Nature of Some Euler’s Double Equations Equivalent to Fermat’s Last Theorem
Mathematics, 2022 In this work, I provide a new rephrasing of Fermat’s Last Theorem, based on an earlier work by Euler on the ternary quadratic forms. Effectively, Fermat’s Last Theorem can be derived from an appropriate use of the concordant forms of Euler and from an ...
Andrea Ossicini
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Communications 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
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On 7‐adic Galois representations for elliptic curves over Q$\mathbb {Q}$
Proceedings 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
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Diophantine Approximation and Coloring [PDF]
The American Mathematical Monthly, 2015 16 pages, pre-publication version of paper which will appear in American Mathematical ...
Alan Haynes, Sara Munday
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