Results 21 to 30 of about 9,377,044 (73)
Extremal problems about additive bases [PDF]
, 1993 A Theorem of M. Kneser relating densities of sumsets to densities of their summands (see [H. Halberstam and K. F. Roth, "Sequences," Chap. 1. Oxford Univ. Press, Oxford], 1966]) is used to set up a machine for settling questions regarding the generalized
Nash, J.C.M., Grekos, Georges
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Singular Higher Order Divergence-Conforming Bases of Additive Kind and Moments Method Applications to 3D Sharp-Wedge Structures [PDF]
, 2008 We present new subsectional, singular divergence conforming vector bases that incorporate the edge conditions for conducting wedges. The bases are of additive kind because obtained by incrementing the regular polynomial vector bases with other ...
GRAGLIA, Roberto +2 more
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Infinitely Often Dense Bases and Geometric Structure of Sumsets [PDF]
, 2006 We\u27ll discuss two problems related to sumsets. Nathanson constructed bases of integers with prescribed representation functions, then asked how dense bases for integers can be in such cases.
Lee, Jaewoo
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Beautiful and functional : a review of biomimetic design in additive manufacturing [PDF]
, 2019 : This review article summarizes the current state-of-the-art for biomimicry in additive manufacturing. Biomimicry is the practice of learning from and emulating nature - which can be increasingly realized in engineering applications due to progress in ...
Broeckhoven, Chris +7 more
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Equidistribution in 2‐nilpotent Polish groups and triple restricted sumsets
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract The aim of this paper is to establish a Ratner‐type equidistribution theorem for orbits on homogeneous spaces associated with 2$\hskip.001pt 2$‐nilpotent locally compact Polish groups under the action of a countable discrete abelian group.
Ethan Ackelsberg, Asgar Jamneshan
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On the exceptional set in Littlewood's discrete conjecture
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We consider a discrete analogue of the well‐known Littlewood conjecture on Diophantine approximations and obtain a strong upper bound for the number of exceptional vectors in this conjecture.
I. D. Shkredov
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Arithmetic progressions at the Journal of the LMS
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We discuss the papers P. Erdős and P. Turán, On some sequences of integers, J. London Math. Soc. (1) 11 (1936), 261–264 and K. F. Roth, On certain sets of integers, J. London Math. Soc. (1) 28 (1953), 104–109, both foundational papers in the study of arithmetic progressions in sets of integers, and their subsequent influence.
Ben Green
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Distributions and wave front sets in the uniform non‐archimedean setting
Transactions of the London Mathematical Society, Volume 5, Issue 1, Page 97-131, December 2018., 2018 Abstract We study some constructions on distributions in a uniform p‐adic context, and also in large positive characteristic, using model theoretic methods. We introduce a class of distributions which we call distributions of C exp ‐class and which is based on the notion of C exp ‐class functions from Cluckers and Halupczok [J. Ecole Polytechnique (JEP)
Raf Cluckers +3 more
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Diophantine tuples and product sets in shifted powers
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract Let k⩾2$k\geqslant 2$ and n≠0$n\ne 0$. A Diophantine tuple with property Dk(n)$D_k(n)$ is a set of positive integers A$A$ such that ab+n$ab+n$ is a k$k$th power for all a,b∈A$a,b\in A$ with a≠b$a\ne b$. Such generalizations of classical Diophantine tuples have been studied extensively.
Ernie Croot, Chi Hoi Yip
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Analytic Erdös‐Turán conjectures and Erdös‐Fuchs theorem
International Journal of Mathematics and Mathematical Sciences, Volume 2005, Issue 23, Page 3767-3780, 2005., 2005 We consider and study formal power series, that we call supported series, with real coefficients which are either zero or bounded below by some positive constant. The sequences of such coefficients have a lot of similarity with sequences of natural numbers considered in additive number theory.
L. Haddad, C. Helou, J. Pihko
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