Results 11 to 20 of about 202 (150)
An Algorithmic Implementation of Runge’s Method for Cubic Diophantine Equations [PDF]
Journal of Siberian Federal University. Mathematics & Physics, 2018 Summary: In this paper we propose an algorithmic implementation of the elementary version of Runge's method for solving cubic diophantine equations with two unknowns. Moreover, we give the estimates for the solutions to such equations.
Osipov, Nikolay N., Gulnova, Bella V.
openaire +6 more sources
SOLVING QUADRATIC AND CUBIC DIOPHANTINE EQUATIONS USING 2-ADIC VALUATION TREES
Rocky Mountain Journal of Mathematics18 pages, 10 figures, 3 ...
Eva G Goedhart
exaly +3 more sources
Small prime solutions to cubic Diophantine equations [PDF]
, 2006 Let a1, . . . , a9 be non-zero integers and n any integer. Suppose that a1 + ··· + a9 = n (mod 2) and (ai, aj) = 1 for 1 <= i < j <= 9. In this thesis we will prove that (i) if not all of the aj’s are of the same sign, then the cubic diagonal equation a1p1^3 + ··· + a9p9^3 = n has prime solutions ...
Leung, Desmond
core +6 more sources
The study on general cubic equations over p-adic fields [PDF]
, 2021 A Diophantine problem means to find all solutions of an equation or system of equations in integers, rational numbers, or sometimes more general number rings. The most frequently asked question is whether a root of a polynomial equation with coefficients
Saburov, Mansoor +2 more
core +1 more source
Subconvexity for additive equations: Pairs of undenary cubic forms [PDF]
, 2014 We investigate pairs of diagonal cubic equations with integral coefficients. For a class of such Diophantine systems with 11 or more variables, we are able to establish that the number of integral solutions in a large box is at least as large as the ...
Brueden, Joerg +4 more
core +1 more source
Finiteness theorems on elliptical billiards and a variant of the dynamical Mordell–Lang conjecture
Proceedings of the London Mathematical Society, Volume 127, Issue 5, Page 1268-1337, November 2023., 2023 Abstract We offer some theorems, mainly finiteness results, for certain patterns in elliptical billiards, related to periodic trajectories; these seem to be the first finiteness results in this context. For instance, if two players hit a ball at a given position and with directions forming a fixed angle in (0,π)$(0,\pi )$, there are only finitely many ...
Pietro Corvaja, Umberto Zannier
wiley +1 more source
Counting rational points on projective varieties
Proceedings of the London Mathematical Society, Volume 126, Issue 4, Page 1092-1133, April 2023., 2023 Abstract We develop a global version of Heath‐Brown's p‐adic determinant method to study the asymptotic behaviour of the number N(W; B) of rational points of height at most B on certain subvarieties W of Pn defined over Q. The most important application is a proof of the dimension growth conjecture of Heath‐Brown and Serre for all integral projective ...
Per Salberger
wiley +1 more source
CAAI Transactions on Intelligence Technology, Volume 8, Issue 1, Page 177-191, March 2023., 2023 Abstract The word sustainable or green supply chain refers to the concept of incorporating sustainable environmental procedures into the traditional supply chain. Green supply chain management gives a chance to revise procedures, materials and operational ideas.
Zeeshan Ali +3 more
wiley +1 more source
Rational points and lines on cubic hypersurfaces [PDF]
, 2023 We study the solubility of cubic diophantine equations. In the first chapter, we discuss the convergence of the singular series of a cubic form, which is a central object in the study of the solutions of the associated cubic equation.
Bernert, Christian
core +1 more source
THE POWERS IN THE SMARANDACHE CUBIC PRODUCT SEQUENCES [PDF]
, 2000 Let P and Q denote the Smarandache cubic product sequences of the first kind and the second kind respectively.
Maohua, Le
core +1 more source