Localised Bombieri-Vinogradov theorems in imaginary quadratic fields
The Hooley-Huxley contour method for problems in number fields III : frobenian functions
In this paper we study finite valued multiplicative functions defined on ideals of a number field and whose values on the prime ideals depend only on the Frobenius class of the primes in some Galois extension. In particular we give asymptotic results when the ideals are restricted to “small regions”. Special cases concern Ramanujan's tau function in small intervals and relative norms in “small regions” of elements from a full module of the Galois extension.
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