Geodesic
On the divisibility of r2(n)
Glasgow mathematical journal, Tome 18 (1977) no. 1, pp. 109-111

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

During the past few years, some papers of P. Deligne and J.-P. Serre (see [2], [9], [10] and other references cited there) have included an investigation of certain properties of coefficients of modular forms, and in particular Serre [10] (see also [11]) obtained the divisibility property (1) below. Letbe a modular form of integral weight k ≧ 1 on a congruence subgroup of SL2(Z), and suppose that each cn belongs to the ring RK of integers of an algebraic number field K finite over Q. For c ∈ RK and m ≧ 1 an integer, write c ≡ 0 (mod m) if c ∈ m RK and c ≢ 0 (mod m) otherwise. Then Serre showed that there exists α > 0 such thatas x → ∞, where throughout this note N(n ≦ x: P) denotes the number of positive integers n ≦ x with the property P. 
Scourfield, E. J. On the divisibility of r2(n). Glasgow mathematical journal, Tome 18 (1977) no. 1, pp. 109-111. doi: 10.1017/S0017089500003128
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