Abstract
It is known that, in many cases, the field (known as the Hecke field) generated by all Hecke eigenvalues of an elliptic modular newform f is in fact generated by the pth Hecke eigenvalue ap of f for a single prime number p. In this paper, we study the density of such primes in a more general situation in terms of Galois representations. This is applied to the study of the fields of rationality of certain automorphic representations.
Original language | English |
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Pages (from-to) | 813-821 |
Number of pages | 9 |
Journal | Bulletin of the London Mathematical Society |
Volume | 48 |
Issue number | 5 |
DOIs | |
Publication status | Published - 2016 Oct 1 |
Externally published | Yes |
ASJC Scopus subject areas
- Mathematics(all)