Results 71 to 80 of about 22,960 (196)

Complete classification of discrete resonant Rossby/drift wave triads on periodic domains

, 2013
We consider the set of Diophantine equations that arise in the context of the barotropic vorticity equation on periodic domains, when nonlinear wave interactions are studied to leading order in the amplitudes.
Bustamante, Miguel D., Hayat, Umar
core   +1 more source

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré, Federico Milanesio, Marcelo Oyarzo, Matteo Santoro, Mario Trigiante   +4 more
wiley   +1 more source

Solving the n $n$‐Player Tullock Contest

Journal of Public Economic Theory, Volume 28, Issue 2, April 2026.
ABSTRACT The n $n$‐player Tullock contest with complete information is known to admit explicit solutions in special cases, such as (i) homogeneous valuations, (ii) constant returns, and (iii) two contestants. But can the model be solved more generally?
Christian Ewerhart
wiley   +1 more source

GCD inequalities arising from codimension‐2 blowups

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract Assuming a deep Diophantine geometry conjecture by Vojta, Silverman proved an inequality giving an upper bound for the greatest common divisor (GCD). In this paper, we unconditionally prove a weaker version of this inequality. The main ingredient is the Ru–Vojta theory, which provides an efficient method of using Schmidt subspace theorem.
Yu Yasufuku
wiley   +1 more source

Diophantine sets

Diophantine subsets of $\mathbb{Z}$ play a key role in the negative answer to Hilbert's tenth problem. The definition of diophantine set generalizes in several ways to other commutative rings. We compare these definitions. Along the way, we prove that for every finitely presented scheme $Y$ over a ring $R$, there exists an affine $R$-scheme $X$ with a ...
Bhatt, Bhargav, Poonen, Bjorn
openaire   +2 more sources

Diophantine sets over 𝑍[𝑇] [PDF]

Proceedings of the American Mathematical Society, 1978
Let Z [ T ] {\mathbf {Z}}[T] be the ring of polynomials with integer coefficients. We prove that every recursively enumerable subset of Z [ T ] {\mathbf {Z}}[T] is diophantine over
openaire   +1 more source

Entropy-based analysis using linear diophantine multi fuzzy soft sets: A DEA approach for improved decision systems [PDF]

Yugoslav Journal of Operations Research
This article unveils an innovative approach to improving the entropy measure analysis of Decision Making Units(DMUs) in the context of linear Diophantine multifuzzy soft sets.
Kannan Jeevitha, Jayakumar Vimala, Kather Mohideen Ashma Banu, Tamilvizhi M.   +3 more
doaj   +1 more source

Robotic sensor based on score and accuracy values in q-rung complex diophatine neutrosophic normal set with an aggregation operation

Alexandria Engineering Journal, 2023
The multiple-attribute decision-making (MADM) problem is resolved through the q-rung complex diophantine neutrosophic normal set (q-rung CDNNS). An important way to express uncertain information is using q-rung orthopair fuzzy sets (q-ROFs).
Murugan Palanikumar, Nasreen Kausar, Harish Garg, Seifedine Kadry, Jungeun Kim   +4 more
doaj   +1 more source

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

Khintchine‐type theorems for weighted uniform inhomogeneous approximations via transference principle

Mathematika, Volume 72, Issue 2, April 2026.
Abstract In 2019 Kleinbock and Wadleigh proved a “zero‐one law” for uniform inhomogeneous Diophantine approximations. We generalize this statement to arbitrary weight functions and establish a new and simple proof of this statement, based on the transference principle. We also give a complete description of the sets of g$g$‐Dirichlet pairs with a fixed
Vasiliy Neckrasov
wiley   +1 more source