Results 31 to 40 of about 8,990 (153)

Generating-function method for tensor products

, 2000
This is the first of two articles devoted to a exposition of the generating-function method for computing fusion rules in affine Lie algebras. The present paper is entirely devoted to the study of the tensor-product (infinite-level) limit of fusions ...
Berenstein A. D., Berenstein A. D., Bégin L., Bégin L., C. Cummins, Couture M., Cummins C. J., Elliott E. B., Huet G., L. Bégin, P. Mathieu, Sharp R. T., Stanley R. P.   +12 more
core   +2 more sources

Modular diophantine inequalities and numerical semigroups [PDF]

Pacific Journal of Mathematics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rosales, J. C., García-Sánchez, P. A., Urbano-Blanco, J. M.   +2 more
openaire   +2 more sources

Sums of three positive cubes

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract We survey ideas surrounding the study of the number of integers that can be represented as the sum of three positive cubes. We focus on the early contribution of Davenport using elementary techniques, and the subsequent developments due to Vaughan, which introduced Fourier analysis and mirrored many of the important developments of the Hardy ...
James Maynard
wiley   +1 more source

Affine convex body semigroups

, 2012
In this paper we present a new kind of semigroups called convex body semigroups which are generated by convex bodies of R^k. They generalize to arbitrary dimension the concept of proportionally modular numerical semigroup of [7].
A. Sánchez-R.-Navarro, A. Vigneron-Tenorio, B. Sturmfels, F. Ajili, J. I. García-García, J.C. Rosales, J.C. Rosales, L. Pottier, M. A. Moreno-Frías, M. Bullejos, P. Pisón-Casares   +10 more
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

Additive inhomogeneous Diophantine inequalities [PDF]

Acta Arithmetica, 2003
Let \(h_1(y),\ldots,h_s(y)\) be polynomials with real coefficients, and put \(H({\mathbf y})=H(y_1,\ldots,y_s)=h_1(y_1)+\cdots+h_s(y_s)\). Suppose throughout that the degree of each \(h_i(y)\) is at most \(k\) and at least one, and that there exists a couple of coefficients of non-constant terms of \(H({\mathbf y})\) such that the ratio of them is ...
openaire   +2 more sources

An improved estimate for certain Diophantine inequalities [PDF]

Proceedings of the American Mathematical Society, 1980
Let λ 1 , … , λ 8 {\lambda _1}, \ldots ,{\lambda _8} be any nonzero real numbers such that not all λ j {\lambda _j} are of the same sign and not all ...
Liu, M.C., Ng, Shu Ming, Tsang, K.M.
openaire   +2 more sources

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

Numerical semigroups problem list [PDF]

, 2013
We propose a list of open problems in numerical semigroups.Comment: To appear in the CIM Bulletin, number 33.
First Problems, J. C. Rosales, M. Delgado, Notable Elements, P. A. García-sánchez   +4 more
core  

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