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The norm of a Gaussian periods

Habegger, Philipp. (2016) The norm of a Gaussian periods. Preprints Fachbereich Mathematik, 2016 (22).

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Abstract

Gaussian periods are cyclotomic integers with a long history in number theory and connections to problems in combinatorics. We investigate the asymptotic behavior of the absolute norm of a Gaussian period and provide a rate of convergence in a case of Myerson's Conjecture for periods of arbitrary odd length. Our method involves a result of Bombieri, Masser, and Zannier on unlikely intersections in the algebraic torus as well as work of the author on the diophantine approximations to a set definable in an o-minimal structure. In the appendix we make a result of Lawton on Mahler measures quantitative.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Zahlentheorie (Habegger)
12 Special Collections > Preprints Fachbereich Mathematik
UniBasel Contributors:Habegger, Philipp
Item Type:Preprint
Publisher:Universität Basel
Language:English
Last Modified:22 Apr 2019 14:48
Deposited On:28 Mar 2019 09:51

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