Camburu, Oana-Maria;
Ciolan, Emil-Alexandru;
Luca, Florian;
Moree, Pieter;
Shparlinski, Igor E;
(2016)
Cyclotomic coefficients: gaps and jumps.
Journal of Number Theory
, 163
pp. 211-237.
10.1016/j.jnt.2015.11.020.
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Abstract
We improve several recent results by Hong, Lee, Lee and Park (2012) on gaps and Bzdȩga (2014) on jumps amongst the coefficients of cyclotomic polynomials. Besides direct improvements, we also introduce several new techniques that have never been used in this area.
| Type: | Article |
|---|---|
| Title: | Cyclotomic coefficients: gaps and jumps |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.jnt.2015.11.020 |
| Publisher version: | https://doi.org/10.1016/j.jnt.2015.11.020 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Coefficients of cyclotomic polynomials, Products of primes, Numerical semigroups, Double Kloosterman sums |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10190147 |
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