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http://dx.doi.org/10.14403/jcms.2012.25.3.521

COMPUTATIONS OF BASES FOR THE SPACES OF CUSPFORMS OF WEIGHT 2

Jeon, Daeyeol (Department of Mathematics Education Kongju National University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.25, no.3, 2012 , pp. 521-526 More about this Journal

Abstract

In this paper, we present a explicit procedure to compute a basis for the spaces of cuspforms of weight 2 on $X_0(N)$ which consists of eigenforms for the Atkin-Lehner involutions.

Keywords

cuspform; newform; oldform; eigenform;

Citations & Related Records

Reference

1	A. O. L. Atkin and J. Lehner, Hecke operators on $\Gamma_0$ (m), Math. Ann. 185 (1970), 134-160. DOI
2	B. J. Birch and W. Kuyk (Eds.), Modular functions of one variable, IV, Lecture Notes in Math. 476, Springer-Verlag, Berlin, 1975.
3	http://modular.math.washington.edu/Tables/tables.html