ON THE LEAST QUADRATIC NON-RESIDUE-Reference-Cited by-同舟云学术

ON THE LEAST QUADRATIC NON-RESIDUE

Published:2008-06 Issue:03 Volume:04 Page:423-435
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

LAU YUK-KAM¹,WU JIE²³

Affiliation:

1. Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong

2. Institut Elie Cartan, Université Henri Poincaré (Nancy 1), 54506 Vandœuvre-lès-Nancy, France

3. School of Mathematical Sciences, Shandong Normal University, Jinan, Shandong, 250014, P. R. China

Abstract

We prove that for almost all real primitive characters χd of modulus |d|, the least positive integer nχd at which χd takes a value not equal to 0 and 1 satisfies nχd ≪ log |d|, and give a quite precise estimate on the size of the exceptional set.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042108001432

Reference20 articles.

1. The Least Quadratic Non Residue

2. A remark on the least n with χ (n) ≠ 1

3. The distribution of quadratic residues and non‐residues

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