Search results
2 days ago · By July of that year, Selberg and Paul Erdős [12] had each obtained elementary proofs of the PNT, both using Selberg's asymptotic formula as a starting point. [ 24 ] [ 25 ] These proofs effectively laid to rest the notion that the PNT was "deep" in that sense, and showed that technically "elementary" methods were more powerful than had been believed to be the case.
2 days ago · Most notably, in 2022, he and three junior collaborators resolved a decades-old Erdős conjecture by bringing probabilistic ideas to design theory. “Matthew’s approach can be viewed as a paradigm change in the extremal theory of hypergraphs,” says ISTA mathematician László Erdős in his laudation (not related to Paul Erdős, whose conjecture Kwan solved).
3 days ago · Paul Erdős is the consummate problem solver: his hallmark is the succinct and clever argument, often leading to a solution from "the book". He loves areas of mathematics which do not require an excessive amount of technical knowledge but give scope for ingenuity and surprise. The mathematics of Paul Erdős is the mathematics of beauty and insight.
5 days ago · This theorem has the ability to turn questions about sparse T -free graphs (about which relatively little is known), into questions about dense T -free graphs (for which we have powerful techniques like regularity). There are various applications, the most notable being a proof of the Erdős-Sós Conjecture for large, bounded degree trees ...
3 days ago · In the present paper, we introduce a new approach and use it to prove that the maximum number of triangles in a C 5-free graph on n vertices is at most 1 2 6 ( 1 + o ( 1 ) ) n 3 / 2, improving an estimate of Ergemlidze and Methuku .
2 days ago · Tao at the age of 10 with mathematician Paul Erdős in 1985. Michael Christ, Colliander, and Tao developed methods of Carlos Kenig, Gustavo Ponce, and Luis Vega to establish ill-posedness of certain Schrödinger and KdV equations for Sobolev data of sufficiently low exponents.
2 days ago · Paul Erdős - Paul Erdős (Hungarian: Erdős Pál [ˈɛrdøːʃ ˈpaːl]; 26 March 1913 – 20 September 1996) was a renowned Hungarian mathematician. Paul Erdős Award - The Paul Erdős Award, named after Paul Erdős, is given by the. Paul Erdős Prize - The Paul Erdős Prize (formerly Mathematical Prize) is given to Hungarian mathematicians ...
