TY - BOOK AU - Hijikata,Hiroaki AU - Pizer,Arnold K. AU - Shemanske,Thomas R. TI - The basis problem for modular forms on [Gamma]o(N) T2 - Memoirs of the American Mathematical Society, SN - 9781470408411 (online) AV - QA3QA243 .A57 no. 418 U1 - 510 s512/.73 20 PY - 1989/// CY - Providence, R.I., USA PB - American Mathematical Society KW - Forms, Modular KW - Quaternions KW - Functions, Zeta N1 - "November 1989, volume 82, number 418 (end of volume)."; Includes bibliographical references (p. 157-159); Introduction; 1. Preliminaries; 2. The trace formula for Hecke operators; 3. Twisting newforms; 4. Theta series; 5. A representation-theoretic definition of Brandt matrices; 6. Trace identities; 7. Cuspidal theta series and newforms; 8. The basis problem; 9. Connections with representation theory; 10. Examples; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0418 UR - http://dx.doi.org/10.1090/memo/0418 ER -