caa a22 4500 463178041 CHVBK 20180406164831.0 cr unu---uuuuu 170326e20071001xx s 000 0 eng 10.1007/s11139-007-9026-8 doi (NATIONALLICENCE)springer-10.1007/s11139-007-9026-8 Tsutsumi Hiroyuki Osaka University of Health and Sport Sciences, 1-1 Asashirodai, Kumatori-cho, Sennan-gun, 590-0496, Osaka, Japan aut The Atkin orthogonal polynomials for congruence subgroups of low levels [Elektronische Daten] [Hiroyuki Tsutsumi] The aim of this paper is to give the 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 groupΓ(2). Springer Science+Business Media, LLC, 2007 Modular form nationallicence Hypergeometric series nationallicence Atkin's orthogonal polynomials nationallicence The Ramanujan Journal Springer US; http://www.springer-ny.com 14/2(2007-10-01), 223-247 1382-4090 14:2<223 2007 14 11139 https://doi.org/10.1007/s11139-007-9026-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11139-007-9026-8 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Tsutsumi Hiroyuki Osaka University of Health and Sport Sciences, 1-1 Asashirodai, Kumatori-cho, Sennan-gun, 590-0496, Osaka, Japan aut NATIONALLICENCE 773 0- The Ramanujan Journal Springer US; http://www.springer-ny.com 14/2(2007-10-01), 223-247 1382-4090 14:2<223 2007 14 11139 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer