Euler–Lehmer constants and a conjecture of Erdös |
| |
| Authors: | M Ram Murty N Saradha |
| |
| Institution: | aDepartment of Mathematics, Queen's University, Kingston, Ontario, K7L 3N6, Canada;bSchool of Mathematics, Tata Institute for Fundamental Research, Homi Bhabha Road, Mumbai, 400 005, India |
| |
| Abstract: | The Euler–Lehmer constants γ(a,q) are defined as the limits We show that at most one number in the infinite list is an algebraic number. The methods used to prove this theorem can also be applied to study the following question of Erdös. If f:Z/qZ→Q is such that f(a)=±1 and f(q)=0, then Erdös conjectured that If  , we show that the Erdös conjecture is true. |
| |
| Keywords: | MSC: primary 11J81 secondary 11J86 11J91 |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
