Cover Image

Geometric Gauss Sums and Gross-Koblitz Formula over Function Fields

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Chang, Ting-Wei
Format:	Preprint
Published:	2025
Subjects:	Number Theory 11R58, 11L05 (Primary) 11R60 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Uniqueness of $v$-adic Gamma Functions in the Gross-Koblitz-Thakur Formulas
by: Chang, Ting-Wei, et al.
Published: (2025)

Existentially defining valuations in function fields over large fields
by: Daans, Nicolas
Published: (2025)

Higher Order Dualities over Global Function Fields and Weighted Möbius Sums over $\mathbb{F}_q{[T]}$
by: Jha, Prassanna Nand, et al.
Published: (2026)

Governing fields for hyperelliptic function fields
by: Stokvis, Joppe
Published: (2025)

A Study of Fine Selmer Groups Over Function Fields via Greenberg Neighbourhoods
by: Ghosh, Sohan
Published: (2025)

On the $p$-adic $L$-function and Iwasawa Main Conjecture for an Artin motive over a CM field
by: Hara, Takashi, et al.
Published: (2024)

A Lehmer-Type Lower Bound for the Canonical Height on Elliptic Curves Over Function Fields
by: Silverman, Joseph H.
Published: (2024)

Normal integral bases of Lehmer's cyclic quintic fields
by: Hashimoto, Yu, et al.
Published: (2022)

Product Formula of Artin Symbols in Non-abelian Extensions
by: Sasaki, Sosuke
Published: (2023)

On $u$-Multiple Zeta Values in Positive Characteristic
by: Tsui, Hung-Chun
Published: (2026)

On $\ell$-torsion in degree $\ell$ superelliptic Jacobians over $\mathbf{F}_q$
by: Li, Wanlin, et al.
Published: (2024)

A Hilbert 90 Property for S-Class Groups and Applications to the Gross--Kuz'min Conjecture
by: Feuerpfeil, Julian
Published: (2025)

Galois cohomology of elliptic curves over anticyclotomic extensions
by: Nguyen, Dac-Nhan-Tam, et al.
Published: (2025)

Congruent elliptic curves over some $p$-adic Lie extensions
by: Nguyen, Dac-Nhan-Tam, et al.
Published: (2025)

First-order definability of affine Campana points in the projective line over a number field
by: De Rasis, Juan Pablo
Published: (2024)

The Kummer ratio of the relative class number for prime cyclotomic fields
by: Kandhil, Neelam, et al.
Published: (2024)

The Brauer-Siegel ratio for prime cyclotomic fields
by: Kandhil, Neelam, et al.
Published: (2024)

On a generalization of R. Chapman's "evil determinant"
by: Wang, Li-Yuan, et al.
Published: (2024)

The Hasse Norm Principle in Global Function Fields
by: Mânzăţeanu, Adelina, et al.
Published: (2020)

Kummer theory for function fields
by: Boudreau, Félix Baril, et al.
Published: (2024)

A computational approach to Drinfeld modules
by: Armana, Cécile, et al.
Published: (2026)

On $q$-Shuffle Relations for Multiple Eisenstein Series of Arbitrary Rank in Positive Characteristic
by: Chang, Ting-Wei, et al.
Published: (2025)

Statistics for Anticyclotomic Iwasawa Invariants of Elliptic Curves
by: Hatley, Jeffrey, et al.
Published: (2021)

Ideal class groups of division fields of elliptic curves and everywhere unramified rational points
by: Dainobu, Naoto
Published: (2023)

Algebra Structures of Multiple Eisenstein Series in Positive Characteristic
by: Chang, Ting-Wei, et al.
Published: (2026)

A Weyl equidistribution theorem over function fields
by: Ackelsberg, Ethan
Published: (2025)

Decidability of polynomial equations over function fields in positive characteristic
by: Daans, Nicolas
Published: (2025)

Visual Aspects of Gaussian Periods and Analogues
by: Platt, Samantha
Published: (2023)

Non-vanishing for quartic Hecke $L$-functions and ranks of elliptic curves
by: Castillo, Cruz, et al.
Published: (2026)

Gauss's form class groups and Shimura's canonical models
by: Koo, Ja Kyung, et al.
Published: (2023)

Torsion of rank-two $A$-motives values in odd characteristic cyclotomic towers
by: Okumura, Yoshiaki
Published: (2025)

On the 3-rank of the class group of quadratic fields
by: Chen, Shi-Chao, et al.
Published: (2025)

An Integral Equivariant Refinement of the Iwasawa Main Conjecture for Totally Real Fields
by: Gambheera, Rusiru
Published: (2025)

Non-vanishing for cubic Hecke $L$-functions
by: David, Chantal, et al.
Published: (2024)

A note on arithmetic congruences
by: Fellini, Nic
Published: (2025)

Drinfeld modules with maximal Galois action
by: Zywina, David
Published: (2025)

Zeros and $S$-units in sums of terms of recurrence sequences in function fields
by: N, Darsana, et al.
Published: (2024)

Quadratic Gauss sums over $\mathbb{Z}^n/c\mathbb{Z}^n$: explicit formulas, a duality theorem, and applications to Weil representations and cubic hypersurfaces over $\mathbb{F}_p$
by: Zhu, Xiao-Jie
Published: (2025)

Halász theorems for Gaussian ideals in sectors and short intervals
by: Kuś, Jan
Published: (2026)

Stretching Newton polygons using pure polynomials
by: Gajek-Leonard, Rylan, et al.
Published: (2024)