In this paper, we study elementary approaches to classical theorems on representations of primes of the form ax2 + by2, in particular the two squares theorem. While most approaches make use of quadratic residues, we study a route initiated by Liouville and simplified by Heath-Brown and Zagier. © 2010 Springer Science+Business Media, LLC.
CITATION STYLE
Elsholtz, C. (2010). A combinatorial approach to sums of two squares and related problems. In Additive Number Theory: Festschrift In Honor of the Sixtieth Birthday of Melvyn B. Nathanson (pp. 115–140). Springer New York. https://doi.org/10.1007/978-0-387-68361-4_8
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