A sieve problem over the Gaussian integers

<p>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.</p><p>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 Siege...

Full description

Bibliographic Details
Main Authors: Schlackow, W, Dr Waldemar Schlackow
Other Authors: Heath-Brown, R
Format: Thesis
Language:English
Published: 2010
Subjects: