Distribution of values of Hecke characters of infinite order

C. Rajan

ArticleOriginal scientific text

Title

Distribution of values of Hecke characters of infinite order

Authors ¹

Affiliations

School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai, 400 005, India

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.

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Title

Distribution of values of Hecke characters of infinite order

Affiliations

Abstract

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