Results 71 to 80 of about 101,170 (187)
Mathematika, Volume 72, Issue 1, January 2026.Abstract In the “Covering” pursuit game on a graph, a robber and a set of cops play alternately, with the cops each moving to an adjacent vertex (or not moving) and the robber moving to a vertex at distance at most 2 from his current vertex. The aim of the cops is to ensure that, after every one of their turns, there is a cop at the same vertex as the ...
Benjamin Gillott
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Combinatorics on number walls and the P(t)$P(t)$‐adic Littlewood conjecture
Mathematika, Volume 72, Issue 1, January 2026.Abstract In 2004, de Mathan and Teulié stated the p$p$‐adic Littlewood conjecture (p$p$‐LC) in analogy with the classical Littlewood conjecture. Let Fq$\mathbb {F}_q$ be a finite field P(t)$P(t)$ be an irreducible polynomial with coefficients in Fq$\mathbb {F}_q$. This paper deals with the analogue of p$p$‐LC over the ring of formal Laurent series over
Steven Robertson
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The modular automorphisms of quotient modular curves
Mathematika, Volume 72, Issue 1, January 2026.Abstract We obtain the modular automorphism group of any quotient modular curve of level N$N$, with 4,9∤N$4,9\nmid N$. In particular, we obtain some unexpected automorphisms of order 3 that appear for the quotient modular curves when the Atkin–Lehner involution w25$w_{25}$ belongs to the quotient modular group. We also prove that such automorphisms are
Francesc Bars, Tarun Dalal
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New upper bound for lattice covering by spheres
Mathematika, Volume 72, Issue 1, January 2026.Abstract We show that there exists a lattice covering of Rn$\mathbb {R}^n$ by Euclidean spheres of equal radius with density O(nlnβn)$O\big (n \ln ^{\beta } n \big)$ as n→∞$n\rightarrow \infty$, where β≔12log28πe33=1.85837….$$\begin{align*} \beta \coloneqq \frac{1}{2} \log _2 {\left(\frac{8 \pi \mathrm{e}}{3\sqrt 3}\right)}=1.85837\,\ldots . \end{align*
Jun Gao +3 more
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One‐level densities in families of Grössencharakters associated to CM elliptic curves
Mathematika, Volume 72, Issue 1, January 2026.Abstract We study the low‐lying zeros of a family of L$L$‐functions attached to the complex multiplication elliptic curve Ed:y2=x3−dx$E_d \;:\; y^2 = x^3 - dx$, for each odd and square‐free integer d$d$. Specifically, upon writing the L$L$‐function of Ed$E_d$ as L(s−12,ξd)$L(s-\frac{1}{2}, \xi _d)$ for the appropriate Grössencharakter ξd$\xi _d$ of ...
Chantal David, Lucile Devin, Ezra Waxman
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International Journal of Mathematical Combinatorics, Vol. 4 / 2017
, 2018 The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 110-160 pages approx. per volume, which publishes original research papers and survey articles in all aspects of Smarandachemulti-spaces, Smarandache ...
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The isominwidth problem on the 2‐sphere
Mathematika, Volume 72, Issue 1, January 2026.Abstract Pál's isominwidth theorem states that for a fixed minimal width, the regular triangle has minimal area. A spherical version of this theorem was proven by Bezdek and Blekherman, if the minimal width is at most π2$\tfrac{\pi }{2}$. If the width is greater than π2$\tfrac{\pi }{2}$, the regular triangle no longer minimizes the area at fixed ...
Ansgar Freyer, Ádám Sagmeister
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Hausdorff dimension of unions of k$k$‐planes
Mathematika, Volume 72, Issue 1, January 2026.Abstract We prove a conjecture of R. Oberlin and Héra on the dimension of unions of k$k$‐planes. Let 0
Shengwen Gan
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MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), Vol. 3 / 2018
, 2018 The Mathematical Combinatorics (International Book Series) is a fully refereed international book series with ISBN number on each issue, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 110-160 pages approx.
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Quasirandomness in discrete mathematics, additive combinatorics and group theory
, 2020 The main objective of this bachelor's thesis will be to present the concept of quasirandomness in various mathematical contexts while proving all the pertinent results. We will introduce the results of Fan Chung and Ronald Graham on quasirandom graphs and quasirandom sets, and the results of Timothy Gowers on quasirandom groups.
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