Shivarajkumar, * (2016) Beyond Schur's Conjecture. In: AMERICAN MATHEMATICAL MONTHLY, 123 (1). pp. 66-70.
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Official URL: http://dx.doi.org/10.4169/amer.math.monthly.123.1....
Abstract
Schur 4] conjectured that the maximum length N of consecutive quadratic nonresidues modulo a prime p is less than root p if p is large enough. This was proved by Hummel in 2003. In this note, we outline a clear improvement over Hummel's bound for p > 23.
| Item Type: | Journal Article |
|---|---|
| Publication: | AMERICAN MATHEMATICAL MONTHLY |
| Publisher: | MATHEMATICAL ASSOC AMER |
| Additional Information: | Copy right for this article belongs to the MATHEMATICAL ASSOC AMER, 1529 18TH STREET NW, WASHINGTON, DC 20036 USA |
| Department/Centre: | Division of Electrical Sciences > Computer Science & Automation |
| Date Deposited: | 22 Mar 2016 04:50 |
| Last Modified: | 22 Mar 2016 04:50 |
| URI: | http://eprints.iisc.ac.in/id/eprint/53412 |
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