THE RAMANUJAN JOURNAL, Vol. 14, No. 2 (2007),
The Atkin orthogonal polynomials for congruence subgroups of low levels
Received January 5, 2004; Accepted March 23, 2004
Abstract. The aim of this paper is to give explicit formulae for the orthogonal functions of the Atkin inner product for the noncompact arithmetic triangular groups and to relate these functions to the supersingular elliptic curves. Also, we state the Atkin orthogonal polynomials for the classical well known group $\Gamma(2)$.
Keywords: Hypergeometric series, Atkin's orthogonal polynomials
Original article available at www.springerlink.com:
Updated Sat Sep 22 15:01:47 EDT 2007.