On the least primitive root expressible as a sum of two squares
2013 | book part. A publication with affiliation to the University of Göttingen.
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- Authors
- Ambrose, Christopher
- Abstract
- For a positive integer n, a !-root modulo n is an integer q coprime to n which has maximal order in (Z/nZ) . We establish upper bounds for s (n), the least λ-root modulo n which is expressible as a sum of two squares, in particular proving that for ε > 0, and n large enough there always exists a λ -root q modulo n in the range 1 <= q <= n ½+ ε such that q is a sum of two squares.
- Issue Date
- 2013
- Organization
- Fakultät für Mathematik und Informatik
- Language
- English
- Notes
- This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively.
