Cover Image

New optimal function field towers over finite fields of quartic power

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Hu, Chuangqiang, Zhu, Xiuwu
Format:	Preprint
Published:	2025
Subjects:	Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Anderson generating function of rank-one Drinfeld Module over rational function fields
by: Hu, Chuangqiang, et al.
Published: (2026)

Rubin's conjecture on local units in the anticyclotomic tower at inert primes: $p=3$ case
by: Yan, Xiaojun, et al.
Published: (2024)

Artin-Schreier towers of finite fields
by: Cagliero, Leandro, et al.
Published: (2024)

Drinfeld Module and Weil pairing over Dedekind domain of class number two
by: Hu, Chuangqiang, et al.
Published: (2023)

Secondary terms in the counting functions of quartic fields
by: Shankar, Arul, et al.
Published: (2025)

Traces of powers of matrices over finite fields
by: Gorodetsky, Ofir, et al.
Published: (2019)

Secondary terms in the counting functions of quartic fields II
by: Shankar, Arul, et al.
Published: (2025)

Classification of torsion of elliptic curves over quartic fields
by: Derickx, Maarten, et al.
Published: (2024)

Quadratic points on the Fermat quartic over number fields
by: González-Jiménez, Enrique
Published: (2026)

On Euler's totient function of polynomials over finite fields
by: Li, Xiumei, et al.
Published: (2024)

Cyclotomic matrices and hypergeometric functions over finite fields
by: Wu, Hai-Liang, et al.
Published: (2021)

Relation between Anderson Generating Functions and Weil Pairing
by: Hu, Chuangqiang, et al.
Published: (2026)

A Note on Cyclotomic Function Fields with Quadratic Modulus
by: Chen, Haojie, et al.
Published: (2026)

A family of asymptotically bad wild towers of function fields
by: Chara, Maria, et al.
Published: (2025)

Symmetry of hypergeometric functions over finite fields and geometric interpretation
by: Nakagawa, Akio
Published: (2025)

Cyclotomic function fields over finite fields with irreducible quadratic modulus
by: Arakelian, Nazar, et al.
Published: (2023)

Sum of two squares in cyclic quartic fields
by: Huang, Wenhuan
Published: (2023)

Error term in the Cohen-Lenstra heuristic via random matrix approach
by: Xu, Yue, et al.
Published: (2023)

Generalized twisted Edwards curves over finite fields and hypergeometric functions
by: Barman, Rupam, et al.
Published: (2024)

Rudin-Shapiro function along irreducible polynomials over finite fields
by: Mérai, László
Published: (2024)

Traces, high powers and one level density for families of curves over finite fields
by: Bucur, Alina, et al.
Published: (2016)

On sesquilinear forms over finite fields
by: Chen, Ruikai
Published: (2025)

The compositional inverses of permutation polynomials from trace functions over finite fields
by: Wu, Danyao, et al.
Published: (2024)

On sumsets involving $k$th powers of finite fields
by: Wu, Hai-Liang, et al.
Published: (2023)

Diophantine stability for curves over finite fields
by: Bars, Francesc, et al.
Published: (2024)

Asai gamma factors over finite fields
by: Chai, Jingsong
Published: (2024)

Sum representations of Appell-Lauricella functions over finite fields using confluent hypergeometric functions and their applications
by: Nakagawa, Akio
Published: (2023)

Chevalley-Weil formula for hypersurfaces in $\mathbf{P}^n$-bundles over curves and Mordell-Weil ranks in function field towers
by: Kloosterman, Remke
Published: (2015)

A number field analogue of the Grothendieck conjecture for curves over finite fields
by: Ozaki, Manabu
Published: (2025)

Ultra-Galois theory and an analogue of the Kronecker--Weber theorem for rational function fields over ultra-finite fields
by: Nguyen, Dong Quan Ngoc
Published: (2024)

Asymptotic growth patterns for class field towers
by: Bhattacharyya, Arindam, et al.
Published: (2023)

The dynamics of a function family over quadratic extensions of finite fields
by: Martínez, Fabio E. Brochero, et al.
Published: (2025)

Weil polynomials of abelian varieties over finite fields
by: Cerchia, Michael, et al.
Published: (2025)

Permutation polynomials over finite fields by the local criterion
by: Wu, Danyao, et al.
Published: (2024)

Trinomial coefficients and related matrices over finite fields
by: She, Yue-Feng, et al.
Published: (2022)

On covering systems of polynomial rings over finite fields
by: Li, Huixi, et al.
Published: (2023)

On a bound of $p$-ranks of Iwasawa modules of $\mathbb{Z}_p$-extensions over a quartic CM-field
by: Yanagisawa, Takuya
Published: (2025)

Langlands parameters for reductive groups over finite fields
by: Imai, Naoki, et al.
Published: (2025)

Taylor conditions over finite fields
by: Bertucci, Matthew
Published: (2024)

On finite field analogues of determinants involving the Beta function
by: Wu, Hai-Liang, et al.
Published: (2023)