Registered users receive a variety of benefits including the ability to customize email alerts, create favorite journals list, and save searches.
Please note that a Project Euclid web account does not automatically grant access to full-text content. An institutional or society member subscription is required to view non-Open Access content.
Contact firstname.lastname@example.org with any questions.
The Moscow Journal of Combinatorics and Number Theory was founded in 2010 by the Moscow Institute of Physics and Technology, and in 2018 it started being published by MSP (Mathematical Sciences Publishers), a nonprofit scientific publisher based in Berkeley, California.
Our journal publishes original, high-quality research articles from a broad range of interests within combinatorics, number theory and allied areas. Since 2011 we have published over 100 papers. Among our authors are such mathematicians as Noga Alon, Antal Balog, Jean-Pierre Demailly, Dominic Foata, Peter Frankl, Aleksandar Ivić, Sergei Konyagin, Yuri Nesterenko, János Pach, Yakov Sinai, Andrzej Schinzel, Wolfgang Schmidt, Carlo Viola, Michel Waldschmidt, and many others.
This issue 1 of volume 8 is the first issue to appear under MSP's aegis. It contains selected papers presented by the participants of the Vilnius Conference in Combinatorics and Number Theory, which was organized with support from our journal and took place at the Department of Mathematics and Informatics of the University of Vilnius, Lithuania, 16–22 July 2017.
Previous conferences connected to our journal were held in Russia (Diophantine analysis, Astrakhan, 30 July to 3 August 2012), Lithuania (Palanga Conference in Combinatorics and Number Theory, 1–7 September 2013), again Russia (Moscow Workshop in Combinatorics and Number Theory, January 27 to 2 February 2014), and Denmark (Diophantine Approximation and Related Topics, Aarhus, 13–17 July 2015).
A collection of papers from the Astrakhan conference appeared in issue 3–4 of volume 3 (2013), and papers related to the Aarhus conference in issue 2–3 of volume 6 (2016).
We hope that you will enjoy this issue and support the journal both with your submissions and by recommending a subscription to your institutional library!
For any irrational number define the Lagrange constant by
The set of all values taken by as varies is called the Lagrange spectrum . An irrational is called attainable if the inequality
holds for infinitely many integers and . We call a real number admissible if there exists an irrational attainable such that . In a previous paper we constructed an example of a nonadmissible element in the Lagrange spectrum. In the present paper we give a necessary and sufficient condition for admissibility of a Lagrange spectrum element. We also give an example of an infinite sequence of left endpoints of gaps in which are not admissible.
Cahen’s constant is defined by the alternating sum of reciprocals of terms of Sylvester’s sequence minus 1. Davison and Shallit proved the transcendence of the constant and Becker improved it. In this paper, we study rationality of functions satisfying certain functional equations and generalize the result of Becker by a variant of Mahler’s method.
Let denote the classical Jacobi theta-constant. We prove that the two values and are algebraically independent over for any in the upper half-plane such that is an algebraic number, where are distinct integers.
We improve and extend the irrationality results proved by the authors (Ann. Sc. Norm. Super. PisaCl. Sci.4:3 (2005), 389–437) for dilogarithms of positive rational numbers to results of linear independence over of , and for suitable , both for and for .
PURCHASE SINGLE ARTICLE
This article is only available to subscribers. It is not available for individual sale.