Results 71 to 80 of about 1,463,977 (153)

An effective Bombieri–Vinogradov error term for sifting problems

open access: yesMathematika, Volume 72, Issue 4, October 2026.
Abstract In number theory, many major results related to the additive properties of primes are proven using the methods of sieve theory. However, in nearly every case, the existing proofs of these results are ineffective, in that explicit values for which they hold cannot be computed.
Daniel R. Johnston
wiley   +1 more source

Graph‐null sets

open access: yesMathematika, Volume 72, Issue 4, October 2026.
Abstract We say that a plane set A$A$ is graph‐null, if there is a function g:[0,1]→R$g\colon [0,1]\rightarrow {\mathbb {R}}$ such that λ2(A+graphg)=0$\lambda _2 (A+{\rm graph}\, g)=0$. A plane set A$A$ has the translational Kakeya property if, for every translated copy A′$A^{\prime }$ of A$A$ and for every ε>0$\varepsilon >0$, there is a finite ...
M. Laczkovich, A. Máthé
wiley   +1 more source

The Seventh European Conference on Combinatorics, Graph Theory and Applications: EuroComb 2013

open access: yes, 2013
In the tradition of EuroComb'01 (Barcelona), Eurocomb'03 (Prague), EuroComb'05 (Berlin), Eurocomb'07 (Seville), Eurocomb'09 (Bordeaux), and Eurocomb'11 (Budapest), this volume covers recent advances in combinatorics and graph theory including ...
J Nesetril, M Pellegrini
core  

Problems in Geometry and Combinatorics from 1983-2020 American Invitational Mathematics Examination

open access: yes, 2021
This study investigates the art of solving problems from the American Invitational Mathematics Examination (AIME), covering the fifty-eight examinations from 1983 to 2020.
Lin , Shih-Hao
core  

Wasserstein rigidity over Rn$\mathbb {R}^n$ with smooth norms

open access: yesMathematika, Volume 72, Issue 4, October 2026.
Abstract We study p−Wasserstein$p-{\rm Wasserstein}$ spaces Wp(Rn,dN)$ \mathcal {W}_p(\mathbb {R}^n, d_N)$ over Rn$\mathbb {R}^n$ equipped with a norm metric dN$d_N$. We show that, if the norm is smooth enough, then the Wasserstein space is isometrically rigid whenever p≠2$p \ne 2$.
Zoltán M. Balogh   +3 more
wiley   +1 more source

Murmurations via Petersson trace formula

open access: yesMathematika, Volume 72, Issue 4, October 2026.
Abstract We prove the murmuration phenomenon, which is a correlation between signs of functional equations and Fourier coefficients, in the case of modular forms in the weight aspect. We in particular improve the range of visibility of murmurations compared to previous results.
Chan Ieong Kuan, Didier Lesesvre
wiley   +1 more source

On the detection of knots by their traces in high dimensions

open access: yesProceedings of the London Mathematical Society, Volume 133, Issue 4, October 2026.
Abstract For every n⩾4$n\geqslant 4$, we demonstrate the existence of non‐isotopic, smooth (n−2)$(n-2)$‐knots in Sn$S^n$ with diffeomorphic traces. We give two proofs: the first by generalising the RBG link construction to all dimensions, and the second as an application of work of Plotnick.
Valentina Bais   +10 more
wiley   +1 more source

The many faces of modern combinatorics

open access: yes, 2003
Combinatorics is an area of mathematics that has experienced tremendous growth during the last few decades. Combinatorial mathematics was pursued since antiquity, but the subject was considered as lying at the periphery of mathematics, being mostly ...
Cristian Lenart
core  

Undergraduate Seminar in Discrete Mathematics

open access: yes, 2006
This course is a student-presented seminar in combinatorics, graph theory, and discrete mathematics in general. Instruction and practice in written and oral communication is emphasized, with participants reading and presenting papers from recent ...
Kleitman, Daniel
core  

Recent trends in algebraic combinatorics

open access: yes, 2019
This edited volume features a curated selection of research in algebraic combinatorics that explores the boundaries of current knowledge in the field.
Orellana, Rosa   +2 more
core   +1 more source

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