Geodesic
Eta-products which are simultaneous eigenforms of Hecke operators
Glasgow mathematical journal, Tome 35 (1993) no. 3, pp. 307-323

Voir la notice de l'article provenant de la source Cambridge University Press

The Dedekind eta-function is defined for any τ in the upper half-plane bywhere x = exp(2πiτ) and x1/24 = exp(2πiτ/24). By an eta-product we shall mean a functionwhere N ≥ 1 and eachrδ ∈ Z. In addition, we shall always assume that is an integer. Using the Legendre-Jacobi symbol (—), we define a Dirichlet character ∈ bywhen a is odd. If p is a prime for which ∈(p) ≠ 0and if F is a function with a Fourier seriesthen we define a Hecke operator Tp bywhereand 
Biagioli, Anthony J. F. Eta-products which are simultaneous eigenforms of Hecke operators. Glasgow mathematical journal, Tome 35 (1993) no. 3, pp. 307-323. doi: 10.1017/S0017089500009885
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