Distribution of values of Hecke characters of infinite order
Volume 85 / 1998
Acta Arithmetica 85 (1998), 279-291
DOI: 10.4064/aa-85-3-279-291
Abstract
We show that the number of primes of a number field K of norm at most x, at which the local component of an idele class character of infinite order is principal, is bounded by O(x exp(-c√(log x))) as x → ∞, for some absolute constant c > 0 depending only on K.
