Asymptotics for the genus and the number of rational places in towers of function fields over a finite field

Arnaldo Garcia; Henning Stichtenoth

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Asymptotics for the genus and the number of rational places in towers of function fields over a finite field

机译：有限域上功能域塔的类和有理位置的渐近性

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摘要

We discuss the asymptotic behaviour of the genus and the number of rational places in towers of function fields over a finite field.

机译：我们讨论了有限域上属的渐近行为和功能域塔中的有理位置数。

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来源
《Finite fields and their applications》 |2005年第3期|p.434-450|共17页
作者
Arnaldo Garcia; Henning Stichtenoth;
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作者单位

IMPA-Instituto de Matematica Pura e Aplicada, Estrada Dona Castorina 110, 22460-320 Rio de Janeiro, RJ, Brazil;

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正文语种 eng
中图分类数理科学和化学;
关键词
tower of function fields; genus; rational places; curves with many points;

机译：功能域塔;属;合理场所;多点曲线;

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1. LOWER BOUNDS ON THE NUMBER OF RATIONAL POINTS OF JACOBIANS OVER FINITE FIELDS AND APPLICATION TO ALGEBRAIC FUNCTION FIELDS IN TOWERS [J] . Ballet S., Rolland R., Tutdere S. Moscow mathematical journal . 2015,第3期

机译：有限域上Jacobians有理点数的下界及其在塔函数函数域中的应用
2. ON ASYMPTOTICALLY OPTIMAL TOWERS OVER QUADRATIC FIELDS RELATED TO GAUSS HYPERGEOMETRIC FUNCTIONS [J] . TAKEHIRO HASEGAWA International Journal of Number Theory . 2010,第5期

机译：高斯超几何函数相关的二次域上的渐近最优塔
3. Some Artin-Schreier type function fields over finite fields with prescribed genus and number of rational places [J] . Cakcak E, Ozbudak F Journal of pure and applied algebra . 2007,第1期

机译：具有规定类和有理位置数的有限域上的某些Artin-Schreier型函数域
4. Recursive Towers of Function Fields over Finite Fields [C] . Henning Stichtenoth Arithmetic of finite fields . 2010

机译：有限域上的函数域递归塔
5. Asymptotically good towers of global function fields and bounds for the Ihara function. [D] . Hall-Seelig, Laura. 2009

机译：全局函数场和Ihara函数边界的渐近优良塔。
6. Moments of zeta functions associated to hyperelliptic curves over finite fields [O] . Michael O. Rubinstein, Kaiyu Wu -1

机译：与有限域上的超椭圆曲线相关的zeta函数的矩
7. Asymptotics for the genus and the number of rational places in towers of function fields over a finite field [O] . Garcia Arnaldo, Stichtenoth Henning 2005

机译：有限域上功能域塔的类和有理位置的渐近性

Asymptotics for the genus and the number of rational places in towers of function fields over a finite field

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