Geodesic
An analogue of a conjecture of Sato and Tate for a Hilbert modular form
Glasgow mathematical journal, Tome 16 (1975) no. 2, pp. 69-87

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

If k denotes a number field and εm is the product of an elliptic curve ε with itself m times over k, then for each prime π where ε has non-degenerate reduction, the zeta factor ζ(επ'S) can be expressed asWhere |π| denotes the norm of π. It is a consequence of a conjecture of Tate [16] that if ε does not have complex multiplications, then the numbers are distributed according to the density functionthat is, the density of the set of primes π such that – is 
Resnikoff, H. L.; Saldaña, R. L. An analogue of a conjecture of Sato and Tate for a Hilbert modular form. Glasgow mathematical journal, Tome 16 (1975) no. 2, pp. 69-87. doi: 10.1017/S001708950000255X
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