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A Bombieri-Vinogradov Theorem for primes in short intervals and small sectors
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A Bombieri-Vinogradov Theorem for primes in short intervals and small sectors
classification
math.NT
keywords
primesbombieri-vinogradovintervalsshortsmallarithmeticcharacterscoleman
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Let $K$ be a finite Galois extension of $\mathbb{Q}$. We count primes in short intervals represented by the norm of a prime ideal of $K$ satisfying a small sector condition determined by Hecke characters. We also show that such primes are well-distributed in arithmetic progressions in the sense of Bombieri-Vinogradov. This extends previous work of Duke and Coleman.
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