Abstract Views :139 |
PDF Views:0
Authors
Affiliations
1 College of Geneiial Education, Nugata University, Ikarasiii Nugata, 950-21, JP
Source
Journal of the Ramanujan Mathematical Society, Vol 7, No 1 (1992), Pagination: 65-81
Abstract
Let Jq be Hecke's absolute invariant. The n-th Fourier coefficient of Jq is written in the form αq(n)r where αq(n) ∈ Q, rq∈ R. We regard αq(n) as a rational function of q. In § 3, it is proved that αq(n) is divisible by q2-4 for n > 2. This implies the conjecture of J. Raleigh [4]. Prime divisors of the denominator of αq (n) are also treated in § 4. In the last section, we propose interesting conjectures concerning αq (n).
Keywords
Hecke Group, J Function, Schwarzian Derivative.