A sieve problem over the Gaussian integers
Our main result is that there are infinitely many primes of the form a² + b² such that a² + 4b² has at most 5 prime factors. We prove this by first developing the theory of $L$-functions for Gaussian primes by using standard methods. We then give an exposition of the Siegel--Walfisz Theorem for Gaus...
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University of Oxford
2010
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| Online Access: | http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.540255 |