Cover Image

The Lang-Trotter conjecture on average for genus-$2$ curves with $S_3$ reduced automorphism group

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Ando, Chihiro, Harashita, Shushi
Format:	Preprint
Published:	2026
Subjects:	Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The Lang-Trotter conjecture on average for genus-$2$ curves with Klein-$4$ reduced automorphism group
by: Ando, Chihiro
Published: (2024)

The $a$-numbers of non-hyperelliptic curves of genus 3 with cyclic automorphism group of order 6
by: Ohashi, Ryo, et al.
Published: (2021)

On the Lang-Trotter conjecture for a class of non-generic abelian surfaces
by: Amri, Mohammed Amin
Published: (2022)

Oort's conjecture and automorphisms of supersingular curves of genus four
by: Dragutinović, Dušan
Published: (2024)

Lang-Trotter phenomena and unlikely intersections
by: Daw, Christopher, et al.
Published: (2026)

On the Lang--Trotter conjecture for Siegel modular forms
by: Kumar, Arvind, et al.
Published: (2022)

The multiplicity-one theorem for the superspeciality of curves of genus two
by: Harashita, Shushi, et al.
Published: (2024)

Automorphism groups of hyperelliptic curves of $2$-rank zero
by: Yamaguchi, Kohtaro, et al.
Published: (2026)

Lang--Trotter Conjecture for CM Elliptic Curves
by: Wan, Daqing, et al.
Published: (2021)

On superspecial hyperelliptic curves of genus 5 whose automorphism groups contain $(\mathbb{Z}/2\mathbb{Z})^3$
by: Ohashi, Ryo, et al.
Published: (2026)

Dynamical Mordell-Lang conjecture for split self-maps of affine curve times projective curve
by: Xie, Junyi, et al.
Published: (2026)

The structure of Selmer groups and the Iwasawa main conjecture for elliptic curves
by: Kim, Chan-Ho
Published: (2022)

Parshin's method and the geometric Bombieri-Lang conjecture
by: Bartsch, Finn, et al.
Published: (2024)

The automorphism groups of a maximal function field with the second largest genus and its algebraic geometry codes
by: Hu, Xubin, et al.
Published: (2025)

The non-Archimedean Green--Griffiths--Lang--Vojta conjecture for commutative algebraic groups with unipotent rank 1
by: Morrow, Jackson S., et al.
Published: (2025)

Hecke orbits and the Mordell-Lang conjecture in distinguished categories
by: Barroero, Fabrizio, et al.
Published: (2024)

A Buium--Coleman bound for the Mordell--Lang conjecture
by: Dogra, Netan, et al.
Published: (2025)

On the Constants of the Lang-Trotter Conjecture for CM Elliptic Curves
by: Ray, Anish
Published: (2023)

The modular automorphisms of quotient modular curves
by: Bars, Francesc, et al.
Published: (2025)

Dynamical Mordell-Lang problem for automorphisms of surfaces in positive characteristic
by: Xie, Junyi, et al.
Published: (2025)

The automorphism group of the $p^{n}$-torsion points of an elliptic curve over a field of characteristic $p \ge 5$
by: Im, Bo-Hae, et al.
Published: (2024)

Superspecial genus-$4$ double covers of elliptic curves
by: Ogasawara, Takumi, et al.
Published: (2024)

On the average congruence class bias for cyclicity and divisibility of the groups of $\mathbb{F}_p$-points of elliptic curves
by: Lee, Sung Min
Published: (2023)

A converse of dynamical Mordell--Lang conjecture in positive characteristic
by: Lee, Jungin, et al.
Published: (2024)

The anticyclotomic main conjectures for elliptic curves
by: Bertolini, Massimo, et al.
Published: (2023)

Minimality of the inner automorphism group
by: Peng, Dekui, et al.
Published: (2023)

Boundedness of average rank of elliptic curves ordered by the coefficients
by: Janbazi, Fatemehzahra
Published: (2025)

Experimental investigations on Lehmer's conjecture for elliptic curves
by: Cats, Sven, et al.
Published: (2025)

Constructing vector-valued automorphic forms on unitary groups
by: Browning, Thomas L., et al.
Published: (2024)

On residual automorphic representations and period integrals for symplectic groups
by: Friedberg, Solomon, et al.
Published: (2024)

Quadratic twists of genus one curves
by: Novak, Lukas
Published: (2024)

The automorphism group of torsion points of an elliptic curve over a field of characteristic $\ge 5$
by: Im, Bo-Hae, et al.
Published: (2025)

On automorphisms of some semidirect product groups and ranks of Iwasawa modules
by: Fujii, Satoshi
Published: (2025)

Elliptic curves of conductor $2^m p$, quadratic twists, and Watkins' conjecture
by: Hatley, Jeffrey, et al.
Published: (2024)

Non-hyperelliptic modular curves of genus 3
by: González-Jiménez, Enrique, et al.
Published: (2026)

Local height arguments toward the dynamical Mordell-Lang conjecture
by: Yang, She, et al.
Published: (2026)

Arbitrarily slow decay in the logarithmically averaged Sarnak conjecture
by: Algom, Amir, et al.
Published: (2024)

Elliptic curves with a rational 2-torsion point ordered by conductor and the boundedness of average rank
by: Xiao, Stanley Yao
Published: (2023)

On the anticyclotomic Mazur-Tate conjecture for elliptic curves with supersingular reduction
by: Kim, Chan-Ho
Published: (2024)

On the local Langlands conjectures for disconnected groups
by: Kaletha, Tasho
Published: (2022)