## A table of Hecke operators. II.(English)Zbl 0273.10019

reducible factors) for (1) $$0<cq<250$$, $$q \ne 227, 239$$, (2) $$0<p<1000$$, $$p\ne q$$ and in this paper there is a list of $$F_{2,q}(x)$$ and $$F_{3,q}$$(x). Let $$S'(q)$$ be the set of cusp forms $$f(z)$$ such that $f\left(\frac{az + b}{cz+d}\right) = \left(\frac{a}{q}\right)(cz+d)^2 f(z),\quad \left(\frac{a}{q}\right) = \text{ Legendre symbol},\quad \begin{pmatrix} a & b \\ c & d\end{pmatrix} \in\Gamma_0(q).$ In another paper [Tables of Hecke operators. I, Semin. Modern Methods Number Theory, Inst. Stat. Math., Tokyo 1971, 10 p. (1971; Zbl 0307.10029)], the author made a small table of Hecke operators $$T(p)$$ which operate on $$S'(q)$$.
Show Scanned Page ### MSC:

 11F25 Hecke-Petersson operators, differential operators (one variable) 11F12 Automorphic forms, one variable

### Keywords:

cusp forms; Hecke operators; table

Zbl 0307.10029
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### References:

  H. Wada: A Table of Hecke Operators. I. United States-Japan Seminar on Modern Methods in Number Theory, pp. 1-10 (1971). Tokyo University. · Zbl 0307.10029  H. Wada: On a Method of Calculations of Hecke Operators (in Japanese). Surikaiseki Kenkyujo Kokyuroku, No. 155, pp. 3-13.  H. G. Zimmer: Computational Problems, Methods, and Results in Algebraic Number Theory. Lecture Notes in Math. Vol. 262, Springer (1972). · Zbl 0231.12001
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