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arXiv:2010.09805 [math.NT]AbstractReferencesReviewsResources

Number of points of certain Artin-Schreier curves

Jędrzej Garnek

Published 2020-10-19Version 1

We prove a conjecture of Johansen, Helleseth and Kholosha concerning equality of exponential sums related to the cross-correlation of $m$-sequences. In the proof we show that certain Artin-Schreier curves have the same number of points over finite fields. This has a consequence regarding the L-polynomials of these curves.

Comments: 6 pages
Categories: math.NT, math.AG
Subjects: 11G20, 11T06
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