Results 31 to 40 of about 312 (174)
Double‐jump phase transition for the reverse Littlewood–Offord problem
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract Erdős conjectured in 1945 that for any unit vectors v1,…,vn$v_1, \ldots, v_n$ in R2$\mathbb {R}^2$ and signs ε1,…,εn$\varepsilon _1, \ldots, \varepsilon _n$ taken independently and uniformly in {−1,1}$\lbrace -1,1\rbrace$, the random Rademacher sum σ=ε1v1+⋯+εnvn$\sigma = \varepsilon _1 v_1 + \cdots + \varepsilon _n v_n$ satisfies ∥σ∥2⩽1$\Vert \
Lawrence Hollom +2 more
wiley +1 more source
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract We survey ideas surrounding the study of the number of integers that can be represented as the sum of three positive cubes. We focus on the early contribution of Davenport using elementary techniques, and the subsequent developments due to Vaughan, which introduced Fourier analysis and mirrored many of the important developments of the Hardy ...
James Maynard
wiley +1 more source
An Abstract Birkhoff Normal Form Theorem and Exponential Type Stability of the 1d NLS [PDF]
, 2020 We study stability times for a family of parameter dependent nonlinear Schrödinger equations on the circle, close to the origin. Imposing a suitable Diophantine condition (first introduced by Bourgain), we prove a rather flexible Birkhoff Normal Form ...
Biasco L., Massetti J. E., Procesi M.
core +3 more sources
Random Diophantine equations in the primes II
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract Let d⩾2$d\geqslant 2$ and n⩾d$n\geqslant d$ with (d,n)∉{(2,2),(3,3)}$(d,n)\notin \lbrace (2,2),(3,3)\rbrace$. We consider homogeneous Diophantine equations of degree d$d$ in n+1$n+1$ variables and whether they have solutions in the primes.
Philippa Holdridge
wiley +1 more source
Some exponential diophantine equations
Some exponential diophantine equations制度:新 ; 文部省報告番号:甲961号 ; 学位の種類:博士(理学) ; 授与年月日:1993-03-04 ; 早大学位記番号:新1907 ; 理工学図書館請求番号 ...
Terai, Nobuhiro, 寺井, 伸浩
openaire +1 more source
Exponential and sub-exponential stability times for the NLS on the circle [PDF]
, 2019 In this note we study stability times for a family of parameter dependent nonlinear Schrodinger equations on the circle, close to the origin. Imposing a suitable Diophantine condition (first introduced by Bourgain), we state a rather flexible Birkhoff ...
Procesi, M., Biasco, L., Massetti, J. E.
core +2 more sources
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 +4 more
wiley +1 more source
Exponential diophantine equations and the irrationality of certain real numbers
, 1991 We apply Schlickewei's recent result on the S-unit equation to show that certain purely exponential diophantine equations have only finitely many solutions.
Paul-Georg Becker, Becker, Paul-Georg
core +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
Some exponential diophantine equations [PDF]
, 2013 Thesis (MSc)--Stellenbosch University, 2013.ENGLISH ABSTRACT: The aim of this thesis is to study some methods used in solving exponential Diophan- tine equations.
Mabaso, Automan Sibusiso
core