Download or read book The Basis Problem for Modular Forms on $\Gamma _0(N)$ written by Hiroaki Hijikata and published by American Mathematical Soc.. This book was released on 1989 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: The "basis problem'' for modular forms (of degree one) is to find a basis for a space of modular forms with elements whose Fourier coefficients can be computed explicitly. The authors give a general treatment for all cases. The main idea in the solution is to consider two kinds of forms: theta series associated with special order, and bases of primitive neben space.