✦ LIBER ✦

Hecke operators on congruence subgroups of the modular group

✍ Scribed by R. A. Rankin

Publisher: Springer
Year: 1967
Tongue: English
Weight: 1005 KB
Volume: 168
Category: Article
ISSN: 0025-5831
DOI: 10.1007/bf01361544

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Principal Congruence Subgroups of the He

Principal Congruence Subgroups of the Hecke Groups

✍ Mong-Lung Lang; Chong-Hai Lim; Ser-Peow Tan 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 126 KB

Let q be an odd integer >3 and let G q be the Hecke group associated to q. Let ({) be a prime ideal of Z[\* q ] and G(q, {) the principal congruence subgroup of G q associated to {. We give a formula for [G q : G(q, {)], the index of the principal congruence subgroup G(q, {) in G q . We also give fo

Fake Congruence Modular Curves and Subgr

Fake Congruence Modular Curves and Subgroups of the Modular Group

✍ Gabriel Berger 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 164 KB

We construct a special class of noncongruence modular subgroups and curves, analogous in some ways to the usual congruence ones. The subgroups are obtained via the Burau representation, and the associated quotient curves have a natural moduli space interpretation. In fact, they are reduced Hurwitz s

Congruence subgroups of the symplectic g

Congruence subgroups of the symplectic group

✍ E. V. Dybkova 📂 Article 📅 1981 🏛 Springer US 🌐 English ⚖ 529 KB

Congruences for eigenvalues of Hecke ope

Congruences for eigenvalues of Hecke operators on Siegel modular forms of degree two

✍ Shin-ichiro Mizumoto 📂 Article 📅 1986 🏛 Springer 🌐 English ⚖ 548 KB

Explicit Action of Hecke Operators on Si

Explicit Action of Hecke Operators on Siegel Modular Forms

✍ James Lee Hafner; Lynne H Walling 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 182 KB

We develop an algorithm for determining an explicit set of coset representatives (indexed by lattices) for the action of the Hecke operators T(p), T j (p 2 ) on Siegel modular forms of fixed degree and weight. This algorithm associates each coset representative with a particular lattice W, pL ı W ı

Normalizers of the Congruence Subgroups

Normalizers of the Congruence Subgroups of the Hecke Groups G4 and G6

✍ Mong-Lung Lang 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 137 KB

Normalizers of 1 0 (m)+w 2 and 1 0 (m)+w 3 in PSL 2 (R) are determined. The determination of such normalizers enables us to determine the normalizers (in PSL 2 (R)) of the congruence subgroups G 0 4 (A) and G 0 6 (A) of the Hecke groups G 4 and G 6 .