Results 41 to 50 of about 20,123 (196)

Some bounds related to the 2‐adic Littlewood conjecture

Mathematika, Volume 72, Issue 2, April 2026.
Abstract For every irrational real α$\alpha$, let M(α)=supn⩾1an(α)$M(\alpha) = \sup _{n\geqslant 1} a_n(\alpha)$ denote the largest partial quotient in its continued fraction expansion (or ∞$\infty$, if unbounded). The 2‐adic Littlewood conjecture (2LC) can be stated as follows: There exists no irrational α$\alpha$ such that M(2kα)$M(2^k \alpha)$ is ...
Dinis Vitorino, Ingrid Vukusic
wiley   +1 more source

From Diophantian Equations to Matrix Equations (Iv) - Diophantian Equations of Higher Degree [PDF]

Educaţia 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

Relationships between the Chicken McNugget Problem, Mutations of Brauer Configuration Algebras and the Advanced Encryption Standard

Mathematics, 2021
Mutations on Brauer configurations are introduced and associated with some suitable automata to solve generalizations of the Chicken McNugget problem.
Agustín Moreno Cañadas, Isaías David Marín Gaviria, Juan David Camacho Vega   +2 more
doaj   +1 more source

Extending the Wave Telescope Technique to Larger Numbers of Spacecraft Obtaining Robust Spatial Power Spectra

Journal of Geophysical Research: Space Physics, Volume 131, Issue 3, March 2026.
Abstract The wave telescope is an analysis technique for multi‐point spacecraft data that estimates power spectra in reciprocal position space (k $k$‐space). It has been used to reveal the spatial properties of waves and fluctuations in space plasmas. Originally designed as an analysis tool for 4 spacecraft constellations, new multi‐scale missions such
L. Schulz, K.‐H. Glassmeier, L. Turc, F. Plaschke, K. G. Klein, M. Palmroth, O. W. Roberts, Y. Narita   +7 more
wiley   +1 more source

On the Existence of Solutions of Diophantine Equations Related to Subbalancing Numbers

Journal of Mathematics
In this paper, we introduce a new sequence of subbalancing numbers by considering balancing numbers as the values of D in the Diophantine equations provided by subbalancing numbers.
Selin Sarı, Gül Karadeniz-Gözeri
doaj   +1 more source

Diophantine equations with Lucas and Fibonacci number coefficients [PDF]

Notes on Number Theory and Discrete Mathematics
Fibonacci and Lucas numbers are special number sequences that have been the subject of many studies throughout history due to the relations they provide.
Cemil Karaçam, Alper Vural, Bilal Aytepe, Ferhat Yıldız   +3 more
doaj   +1 more source

Recurrence relations for the number of solutions of a class of Diophantine equations [PDF]

, 2013
Recursive formulas are derived for the number of solutions of linear and quadratic Diophantine equations with positive coefficients. This result is further extended to general non-linear additive Diophantine equations. It is shown that all three types of
Krivoruchenko, M. I.
core  

Linear Diophantine equations and conjugator length in 2‐step nilpotent groups

Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract We establish upper bounds on the lengths of minimal conjugators in 2‐step nilpotent groups. These bounds exploit the existence of small integral solutions to systems of linear Diophantine equations. We prove that in some cases these bounds are sharp.
M. R. Bridson, T. R. Riley
wiley   +1 more source

Studies of Positive Integer Solutions of the Diophantine Equation x2−ay2−bx−cy−d=0 by the Transformation Method

Journal of Mathematics
Solving the Diophantine equation has fascinated mathematicians from various civilizations. In this paper, we propose the resolution of quadratic Diophantine equations with integer coefficients.
Francklin Fenolahy, Harrimann Ramanantsoa, André Totohasina   +2 more
doaj   +1 more source

Diophantine equations and identities

International Journal of Mathematics and Mathematical Sciences, 1985
The general diophantine equations of the second and third degree are far from being totally solved. The equations considered in this paper are    i)  x2−my2=±1 ii)  x3+my3+m2z3−3mxyz=1iii)  Some fifth degree diopantine ...
Malvina Baica
doaj   +1 more source