Covering With Hecke Points

✍ Scribed by P. Chiu

• Book ID: 102973441
• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 577 KB
• Volume: 53
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1006/jnth.1995.1077

✦ Synopsis

The Hecke points are proven to be dense in the fundamental domain of (\operatorname{SL}(2, \mathbf{Z})) and (\operatorname{SL}(3, \mathbf{Z})), with estimates on their covering radii based on the Ramanujan Conjecture. An analogous result is obtained for the space (\operatorname{SL}(2, \mathbf{Z}) \backslash \operatorname{SL}(2, \mathbf{R})), providing another approach to the problem of approximating real matrices by integral matrices. "1995 Academic Press, Inc.