The statistics of the number of rational points in the hyperelliptic ensemble over a finite field-Reference-Cited by-同舟云学术

The statistics of the number of rational points in the hyperelliptic ensemble over a finite field

Published:2016-07 Issue:1 Volume:214 Page:421-442
ISSN:0021-2172
Container-title:Israel Journal of Mathematics
language:en
Short-container-title:Isr. J. Math.

Author:

Bae Sunghan,Jung Hwanyup

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11856-016-1335-4.pdf

Reference7 articles.

1. S. Bae and H. Jung, Average values of L-functions in even characterisitc, submitted 2012.

2. A. Entin, On the distribution of zeroes of Artin–Schreier L-functions, Geometric and Functional Analysis 22 (2012), 1322–1360.

3. H. Hasse, Theorie der relativ-zyklischen algebraischen Funktionenkörper, inbesondre bei endlichen Konstantenkörper, Journal für die Reine und Angewandte Mathematik 172 (1934), 37–54.

4. P. Kurlberg and Z. Rudnick, The fluctuations in the number of points on a hyperelliptic curve over a finite field, Journal of Number Theory 129 (2009), 580–587.

5. M. Rosen, Number Theory in Function Fields, Graduate Texts in Mathematics, Vol. 210, Springer-Verlag, New York, 2002.

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Statistics of traces of high powers of the Frobenius for biquadratic function fields over finite fields;International Journal of Number Theory;2019-08-19

2. Statistics for products of traces of high powers of the Frobenius class of hyperelliptic curves in even characteristic;International Journal of Number Theory;2019-07-21

3. ON THE DISTRIBUTION OF THE RATIONAL POINTS ON CYCLIC COVERS IN THE ABSENCE OF ROOTS OF UNITY;Mathematika;2019-01