Cover Image

An analogue of Kida's formula for Mazur-Tate elements

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Pratap, Naman, Ray, Anwesh
Format:	Preprint
Published:	2025
Subjects:	Number Theory 11R23, 11G05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

An analogue of Kida's formula for elliptic curves with additive reduction
by: Ray, Anwesh, et al.
Published: (2024)

An analogue of Kida's formula in graph theory
by: Ray, Anwesh, et al.
Published: (2022)

Mazur's growth number conjecture and congruences
by: Ray, Anwesh
Published: (2025)

Rank Jumps and Growth of Shafarevich--Tate Groups for Elliptic Curves in $\mathbb{Z}/p\mathbb{Z}$-Extensions
by: Beneish, Lea, et al.
Published: (2021)

Statistics for Iwasawa invariants of elliptic curves, $\rm{III}$
by: Ray, Anwesh
Published: (2024)

Iwasawa theory and ranks of elliptic curves in quadratic twist families
by: Hatley, Jeffrey, et al.
Published: (2024)

On the refined `Birch--Swinnerton-Dyer type' conjectures of Mazur and Tate
by: Bullach, Dominik, et al.
Published: (2025)

Hilbert's tenth problem for families of $ \mathbb{Z}_p $-extensions of imaginary quadratic fields
by: Müller, Katharina, et al.
Published: (2024)

Lambda-invariants of Mazur--Tate elements attached to Ramanujan's tau function and congruences with Eisenstein series
by: Doyon, Anthony, et al.
Published: (2022)

A Heuristic approach to the Iwasawa theory of elliptic curves
by: Müller, Katharina, et al.
Published: (2024)

On the $μ$-invariants of residually reducible Galois representations
by: Ray, Anwesh, et al.
Published: (2021)

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

Kida's formula for graphs with ramifications
by: Kataoka, Takenori
Published: (2024)

Kida's formula via Selmer complexes
by: Kataoka, Takenori
Published: (2024)

Iwasawa theory of fine Selmer groups associated to Drinfeld modules
by: Ray, Anwesh
Published: (2023)

Hilbert's tenth problem in Anticyclotomic towers of number fields
by: Ray, Anwesh, et al.
Published: (2023)

Higher Fitting ideals and the structure of anticyclotomic Shafarevich-Tate groups
by: Da Ronche, Enrico, et al.
Published: (2026)

Iwasawa invariants of Bertolini--Darmon Theta Elements
by: Abhishek, et al.
Published: (2026)

Diophantine stability for elliptic curves on average
by: Ray, Anwesh, et al.
Published: (2023)

A positive density of elliptic curves are diophantine stable in certain Galois extensions
by: Ray, Anwesh, et al.
Published: (2024)

The growth of Tate-Shafarevich groups of $p$-supersingular elliptic curves over anticyclotomic $\mathbb{Z}_p$-extensions at inert primes
by: Isik, Erman, et al.
Published: (2024)

Selmer stability for elliptic curves in Galois $\ell$-extensions
by: Pathak, Siddhi, et al.
Published: (2025)

Rank stability of elliptic curves in certain non-abelian extensions
by: Pathak, Siddhi, et al.
Published: (2024)

Remarks on Greenberg's conjecture for Galois representations associated to elliptic curves
by: Ray, Anwesh
Published: (2023)

Integers that are sums of two cubes in the cyclotomic $\mathbb{Z}_p$-extension
by: Ray, Anwesh
Published: (2024)

On the growth of Tate-Shafarevich groups of $p$-supersingular abelian varieties of ${\rm GL}_2$-type over $\mathbb{Z}_p$-extensions of number fields
by: Isik, Erman, et al.
Published: (2025)

On signed Mordell-Weil groups for abelian varieties
by: Ray, Jishnu
Published: (2023)

Elliptic curves with rank one and nontrivial 2-part of Tate Shafarevich groups over the $\mathbb{Z}_2$-extension of $\mathbb{Q}$
by: Deng, Li-Tong, et al.
Published: (2026)

Class group statistics for torsion fields generated by elliptic curves
by: Ray, Anwesh, et al.
Published: (2022)

An Asymptotic formula for Tate-Shafarevich groups of CM elliptic curves at supersingular primes
by: Müller, Katharina
Published: (2025)

Distribution questions for isogeny graphs over finite fields
by: Ray, Anwesh
Published: (2025)

On the cohomology of plus/minus Selmer groups of supersingular elliptic curves in weakly ramified base fields
by: Forrás, Ben, et al.
Published: (2024)

Constructing Galois representations with large Iwasawa $λ$-Invariant
by: Ray, Anwesh
Published: (2021)

Iwasawa theory and the representations of finite groups
by: Ray, Anwesh
Published: (2025)

Rank distribution in cubic twist families of elliptic curves
by: Ray, Anwesh, et al.
Published: (2024)

On Anticyclotomic Iwasawa Theory of Hecke Characters at Ordinary Primes
by: Isik, Erman
Published: (2024)

Counting elliptic curves with prescribed entanglements
by: Couvillon, Zachary, et al.
Published: (2025)

On the Iwasawa invariants of Artin representations
by: Karnataki, Aditya, et al.
Published: (2023)

A $p$-Converse theorem for Real Quadratic Fields
by: Bansal, Muskan, et al.
Published: (2025)

On the unramified Iwasawa module of a $\mathbb{Z}_p$-extension generated by division points of a CM elliptic curve
by: Itoh, Tsuyoshi
Published: (2020)