Results 71 to 80 of about 1,430,683 (165)

On Some Methods for Solution of Linear Diophantine Equations

Universal Journal of Mathematics and Applications, 2020
The paper considers a linear Diophantine equation. A method (algorithm) for finding a general class of solutions of equation is proposed. The proposed algorithm is explained by examples of equations with two and three variables, trying to direct the ...
Azam Imomov, Yorqin T. Khodjaev
doaj   +1 more source

Separable Diophantine equations [PDF]

Transactions of the American Mathematical Society, 1945
Theoretically, as noted by Skolem [3, p. 21(1), the general problem of algebraic diophantine analysis is reducible to the case in which occur only equations and inequalities of degree not higher than the second. For the extensive class of separable systems defined in ?6, this reduction can be performed effectively, eventuating in the complete integer ...
openaire   +2 more sources

Homogeneous Diophantine equation of degree two in NP-complete

, 2022
In mathematics, a Diophantine equation is a polynomial equation, usually involving two or more unknowns, such that the only solutions of interest are the integer ones.
Frank Vega
core   +1 more source

Kripke on Gödel Incompleteness

Theoria, Volume 92, Issue 3, June 2026.
ABSTRACT This paper surveys six of Saul Kripke's highly creative ideas and results on Gödel incompleteness, from when he was an undergraduate to last publications. These include his extension of incompleteness from sentences to predicates, his model‐theoretic proof of incompleteness of arithmetic, his compelling analysis of incompleteness in terms of ...
Daniel Isaacson
wiley   +1 more source

Diophantine Equation 4k2−1nx+4kny=4k2+1nz

Journal of Mathematics
Let a,b,c be a primitive Pythagorean triple such that a2+b2=c2 with 2b. In 1956, L. Jesmanowicz conjectured that, for any positive integer n, the equation anx+bny=cnz has only the positive solution x,y,z=2,2,2. In 1959, Lu Wenduan claimed that if n=1 and
Nai-juan Deng, Ridi Huang
doaj   +1 more source

On the Diophantine equation Ax2+22m=yn

International Journal of Mathematics and Mathematical Sciences, 2001
Let h denote the class number of the quadratic field ℚ(−A) for a square free odd integer A>1, and suppose that n>2 is an odd integer with (n,h)=1 and m>1.
Fadwa S. Abu Muriefah
doaj   +1 more source

Generalized free wreath products and their operator algebras

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We develop a new approach on free wreath products, generalizing the constructions of Bichon and of Fima‐Pittau. We show stability properties for certain approximation properties such as exactness, Haagerup property, hyperlinearity, and K‐amenability. We study qualitative properties of the associated von Neumann algebra: factoriality, primeness,
Pierre Fima, Arthur Troupel
wiley   +1 more source

The diophantine equation ni+1=k(dn−1)

International Journal of Mathematics and Mathematical Sciences, 1989
The Diophantine equation of the title is solved for i=3,4 and an infinite family of solutions were found for i≥5.
Steve Ligh, Keith Bourque
doaj   +1 more source

Moderate Deviation Principles for Lacunary Trigonometric Sums

Mathematische Nachrichten, Volume 299, Issue 5, Page 1028-1044, May 2026.
ABSTRACT Classical works of Kac, Salem, and Zygmund, and Erdős and Gál have shown that lacunary trigonometric sums despite their dependency structure behave in various ways like sums of independent and identically distributed random variables. For instance, they satisfy a central limit theorem (CLT) and a law of the iterated logarithm.
Joscha Prochno, Marta Strzelecka
wiley   +1 more source

On the Exponential Diophantine Equation 3x - 2.5y = z2

, 2022
PP:27-30In this paper, we introduce the notion of the exponential Diophantine equation. We also did some characterisations of the Diophantine equation. In this article, we study and establish the theorem of the Diophantine equation 3x - 2.
Gope, Rathindra Chandra, Bin Masud, Md. Abdullah   +1 more
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