tag:blogger.com,1999:blog-4352371825685007367.post2759860152815816856..comments2022-03-25T11:26:38.618+09:00Comments on From Mirror Symmetry to Langlands Correspondence: Mahler 測度、双曲幾何学と二重対数IKen Yokoyamahttp://www.blogger.com/profile/05236785937528140451noreply@blogger.comBlogger3125tag:blogger.com,1999:blog-4352371825685007367.post-35449697950290638532014-08-16T22:42:49.225+09:002014-08-16T22:42:49.225+09:00本文の中に登場するBianchi群は、Lie代数の分類であるBianchi分類に関連している.
H...本文の中に登場するBianchi群は、Lie代数の分類であるBianchi分類に関連している.<br /><br />Hatcherのサイトにpdfがあるのを発見した.<br /><br />http://www.math.cornell.edu/~hatcher/Papers/Bianchi.pdf<br />Ken Yokoyamahttps://www.blogger.com/profile/05236785937528140451noreply@blogger.comtag:blogger.com,1999:blog-4352371825685007367.post-84365354510089612962013-07-15T00:35:35.193+09:002013-07-15T00:35:35.193+09:0015 July 2013
There is an another conjecture by Le...15 July 2013<br /><br />There is an another conjecture by Lehmer.<br /><br />For Lehmer's conjecture about the non-vanishing of τ(n), see Ramanjuan's tau function.<br /><br />Lehmer (1947) conjectured that \tau(n) \ne 0 for all n, an assertion sometimes known as Lehmer's conjecture. Lehmer verified the conjecture for n < 214928639999 (Apostol 1997, p. 22). The following table summarizes progress on finding successively larger values of n for which this condition holds.ennoreply@blogger.comtag:blogger.com,1999:blog-4352371825685007367.post-34346845626814606332013-07-15T00:13:41.749+09:002013-07-15T00:13:41.749+09:0015 July 2013
Lehmer's problem
In mathematics...15 July 2013<br /><br />Lehmer's problem<br /><br />In mathematics, Lehmer's totient problem, named for D. H. Lehmer, asks whether there is any composite number n such that Euler's totient function φ(n) divides n − 1. This is true of every prime number, and Lehmer conjectured in 1932 that there are no composite solutions: he showed that if any such n exists, it must be odd, square-free, and divisible by at least seven primes (i.e. ω(n) ≥ 7).<br /><br />It is a different problem from Lehmer's conjecture in this article by Boyd.ennoreply@blogger.com