Related papers: Problems and memories
In this short note we present some remarks and conjectures on two of Erd\"os's open problems in number theory.
This paper collects some problems that I have encountered during the years, have puzzled me and which, to the best of my knowledge, are still open. Most of them are well-known and have been first stated by other authors. In this sad season…
We give an historical account, including recent progress, on some problems of Erd\H os in number theory.
This is an update of my problem list.
Remarks on the life and work of Paul Erdos.
This survey contains a recollection of results, problems and conversations which go back to the early years of Representation Theory and Tilting Theory.
This is a survey of some of Erd\H os's work on bases in additive number theory.
We survey some recent developments and give a list of open problems regarding multiple recurrence and convergence phenomena of $\mathbb{Z}^d$ actions in ergodic theory and related applications in combinatorics and number theory.
The purpose of this text is twofold. First we discuss some divisor problems involving Paul Erd\H os (1913-1996), whose centenary of birth is this year. In the second part some recent results on divisor problems are discussed, and their…
The ideas here are a continuation of a previous article. Some of the applications of the main ideas in the previous article are explained, along with some limitations of the general ideas. There are situations where additional hypotheses…
Here we give a short survey of our new results. References to the complete proofs can be found in the text of this article and in the litterature.
This is a short historical note concerning the evolution of Wetzel's problem and Erdos' solution.
This is a structured compilation of some of my favourite open problems.
We attempt to survey recent results and open problems connected to Lieb-Thirring inequalities.
The Erd\H{o}s discrepancy problem, now a theorem by T. Tao, asks whether every sequence with values plus or minus one has unbounded discrepancy along all homogeneous arithmetic progressions. We establish weighted variants of this problem,…
I now agree with conclusion of author that there is a problem with unitarity in discussed models.
In this note we briefly survey and propose some open problems related to isoparametric theory.
Although whether P equals NP is an important, open problem in computer science, and although Jaeger's 2008 paper, "Solving the P/NP Problem Under Intrinsic Uncertainty" (arXiv:0811.0463) presents an attempt at tackling the problem by…
Some Open Problems Concerning Orthogonal Polynomials.
Erd\H{o}s first introduced the idea of covering systems in 1950. Since then, much of the work in this area has concentrated on identifying covering systems that meet specific conditions on their moduli. Among the central open problems in…