Related papers: Number Gossip

we hear that..., by David Garfinkle APS April Meeting, by David Garfinkle

In this paper some new ways of generalizing perfect numbers are investigated, numerical results are presented and some conjectures are established.

This is a non-standard paper, containing some problems, mainly in model theory, which I have, in various degrees, been interested in. Sometimes with a discussion on what I have to say; sometimes, of what makes them interesting to me,…

Here I share a few notes I used in various course lectures, talks, etc. Some may be just calculations that in the textbooks are more complicated, scattered, or less specific; others may be simple observations I found useful or curious.

This talk was given at DIS'05 (Madison, April 27-May 2, 2005). It is a brief review of ups and downs of high density QCD during the past year.

These are expanded notes of a two-semester course on Lie groups and Lie algebras given by the author at MIT.

Rapporteur's Introduction to the GT8 session of the Ninth Marcel Grossmann Meeting (Rome, 2000); to appear in the Proceedings.

Review paper presented at the meeting "Formation of the Galactic Halo: Inside and Out", Tucson, October 1995.

This is an informal write up of my talk in Berlin. It gives some background to Goddard's talk (math.QA/9808136) about the moonshine conjectures.

This paper is a survey on the study of the behaviour of the composition of polynomials on the computation of Gr\"obner bases. This survey brings together some works published between 1995 and 2007. The authors of these papers gave answers…

A brief historical introduction for the enigmatic number Zero is given. The discussions are for popular consumption.

We collect here various conjectures on congruences made by the author in a series of papers, some of which involve binary quadratic forms and other advanced theories. Part A consists of 100 unsolved conjectures of the author while…

This paper focuses on greedy expansions, one possible representation of numbers, and on arithmetical operations with them. Performing addition or multiplication some additional digits can appear. We study bounds on the number of such digits…

This is a short summary of a talk at Strings 2018. See also arXiv:1808.01334.

This is a Concluding Talk, not a Summary of the Conference. I will discuss some of the highlights that particularly impressed me (a subjective choice) and make some comments on the status and the prospects of neutrino mass and mixing.

Comment on ``Gibbs Sampling, Exponential Families, and Orthogonal Polynomials'' [arXiv:0808.3852]

I briefly discuss some recent developments (and recall some old news) in the theory and phenomenology of generalised parton distributions.

A conjecture regarding the structure of expander graphs is discussed.

The content of this paper is now available as part of arXiv:0802.2019

Contents: News: April 1997 Joint APS/AAPT Meeting, by Beverly Berger TGG News, by Jim Isenberg Report from NSF, by David Berley We hear that..., by Jorge Pullin Research briefs: GR in GPS, by Neil Ashby What happens near the innermost…