Hi All,<\/p>\n
Coming up next, we’ll have a talk by Jacob Hicks continuing on the “geometry of numbers” theme. More detailed information below!<\/p>\n
Hope to see you there,
\n-Danny<\/p>\n
Title: The Cochrane-Mitchell Theorem<\/p>\n
Abstract: We present Cochrane-Mitchell’s strengthening of the GoN proof of Legendre’s Theorem which simultaneously achieves the\u00a0existence of a solution and the Holzer bound on the size of a solution. The key idea is to choose a “better lattice”: one with congruence
\nproperties modulo 2abc rather than modulo abc. This turns out to use significantly more GoN input, namely the sharp value of the\u00a0three dimensional Hermite constant and the classification of extremal (a theorem of Gauss). Time permitting, we will discuss a natural followup question:\u00a0what are the “best lattices” one can find in this context?<\/p>\n","protected":false},"excerpt":{"rendered":"
Hi All, Coming up next, we’ll have a talk by Jacob Hicks continuing on the “geometry of numbers” theme. More detailed information below! Hope to see you there, -Danny Title: The Cochrane-Mitchell Theorem Abstract: We present Cochrane-Mitchell’s strengthening of the … Continue reading