Cover Image

Ogg's conjectures over function fields

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Armana, Cécile, Ho, Sheng-Yang Kevin, Papikian, Mihran
Format:	Preprint
Published:	2024
Subjects:	Number Theory 11G09, 11G05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On Drinfeld modular curves for SL(2)
by: Franklin, Jesse, et al.
Published: (2024)

Rank metric codes from Drinfeld modules
by: Micheli, Giacomo, et al.
Published: (2026)

Supersingular Drinfeld modules, Brandt matrices, and rank-metric codes
by: Micheli, Giacomo, et al.
Published: (2026)

Drinfeld singular moduli, hyperbolas, units
by: Anglès, Bruno, et al.
Published: (2024)

A class of functional identities associated to curves over finite fields
by: Ferraro, Giacomo Hermes
Published: (2022)

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

Weil representations associated to isocrystals over function fields
by: Mornev, Maxim, et al.
Published: (2025)

Rational $D(q)$-quadruples
by: Dražić, Goran, et al.
Published: (2020)

Galois representations over function fields that are ramified at one prime
by: Ray, Anwesh
Published: (2024)

Generalised quadratic forms over totally real number fields
by: Browning, Tim, et al.
Published: (2022)

Wieferich and Mersenne primes for function fields
by: Lucas, Alexis
Published: (2025)

Quartic reductions and elliptic obstructions for perfect Euler bricks
by: Peschmann, René
Published: (2026)

Explicit surjectivity of Galois representations of products of elliptic curves over function fields
by: Cojocaru, Alina, et al.
Published: (2025)

Several-variable Kronecker limit formula over global function fields
by: Wei, Fu-Tsun
Published: (2025)

Noncommutative factorizations of higher sine functions in positive characteristic
by: Green, Nathan, et al.
Published: (2025)

A duality result about special functions in Drinfeld modules of arbitrary rank
by: Ferraro, Giacomo Hermes
Published: (2023)

Heavenly elliptic curves over quadratic fields
by: McLeman, Cam, et al.
Published: (2024)

Isogeny relations in products of families of elliptic curves
by: Ferrigno, Luca
Published: (2024)

Analytic rank-one elliptic curves over function fields and their rank over certain ring class fields
by: Choi, Seokhyun, et al.
Published: (2026)

Torsion subgroups of elliptic curves over quadratic fields and a conjecture of Granville
by: Banwait, Barinder S., et al.
Published: (2024)

Algebraic Relations among Special Gamma Values and the Chowla-Selberg Phenomenon over Function Fields
by: Wei, Fu-Tsun
Published: (2022)

Non-injectivity of the lattice map for non-mixed Anderson t-motives, and a result towards its surjectivity
by: Grishkov, A., et al.
Published: (2024)

Galois representation of the product of two Drinfeld modules of generic characteristic
by: Duan, Lian, et al.
Published: (2026)

A Motivic Pairing and the Mellin Transform in Function Fields
by: Green, Nathan
Published: (2022)

A rapid introduction to Drinfeld modules, $t$-modules, and $t$-motives
by: Brownawell, W. Dale, et al.
Published: (2018)

Equidistribution of Hecke Orbits on the Picard group of definite Shimura curves
by: Alvarado, Matias, et al.
Published: (2024)

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

Counting Drinfeld modules with prescribed local conditions
by: Phillips, Tristan
Published: (2022)

Larsen's conjecture for elliptic curves over $\mathbb{Q}$ with analytic rank at most $1$
by: Choi, Seokhyun, et al.
Published: (2025)

The Birch and Swinnerton-Dyer conjecture implies Goldfeld's conjecture
by: Smith, Alexander
Published: (2025)

On the factorization of twisted $L$-values and $11$-descents over $C_5$-number fields
by: Maistret, Céline, et al.
Published: (2025)

The bias conjecture for elliptic curves over finite fields and Hurwitz class numbers in arithmetic progressions
by: Kane, Ben, et al.
Published: (2024)

Hyperderivative power sums, Vandermonde matrices, and Carlitz multiplication coefficients
by: Papanikolas, Matthew A.
Published: (2018)

Average analytic ranks of elliptic curves over number fields
by: Phillips, Tristan
Published: (2022)

New isogenies of elliptic curves over number fields
by: Genao, Tyler
Published: (2024)

Local-global principle for 11-isogenies of elliptic curves is true over quadratic fields
by: Gajović, Stevan, et al.
Published: (2025)

Main conjectures for non-CM elliptic curves at good ordinary primes
by: Yan, Xiaojun, et al.
Published: (2024)

Growth of torsion groups of elliptic curves upon base change from number fields
by: Genao, Tyler
Published: (2022)

Local Kummer theory for Drinfeld modules
by: Mornev, Maxim, et al.
Published: (2024)

Drinfeld modular polynomials of level $T$
by: Breuer, Florian, et al.
Published: (2024)