Cover Image

On a refinement of the Birch and Swinnerton-Dyer Conjecture in positive characteristic

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Burns, David, Kakde, Mahesh, Kim, Wansu
Format:	Preprint
Published:	2018
Subjects:	Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On a Birch and Swinnerton-Dyer type conjecture for the Hasse-Weil-Artin $L$-functions in characteristic $p>0$
by: Kim, Wansu, et al.
Published: (2024)

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

Is there a Birch and Swinnerton-Dyer conjecture for Dedekind zeta functions?
by: Deninger, Christopher
Published: (2025)

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

On Birch and Swinnerton-Dyer's cubic surfaces
by: West, Mckenzie
Published: (2015)

On the Identification of Elliptic Curves That Admit Infinitely Many Twists Satisfying the Birch-Swinnerton-Dyer Conjecture
by: Banwait, Barinder S., et al.
Published: (2026)

The Birch--Swinnerton-Dyer exact formula for quadratic twists of elliptic curves
by: Zhai, Shuai
Published: (2021)

Ranks of Matrices of Logarithms of Algebraic Numbers II: The Matrix Coefficient Conjecture
by: Dasgupta, Samit, et al.
Published: (2024)

On the Birch and Swinnerton-Dyer formula modulo squares for certain quadratic twists of elliptic curves
by: Barrios, Alexander J., et al.
Published: (2025)

Convergence of orbital integrals on unitary groups in positive characteristic
by: Kim, Wansu, et al.
Published: (2026)

The Birch and Swinnerton-Dyer Conjecture via B4
by: Bhurani, Navneet
Published: (2026)

A Topological Perspective on the Birch and Swinnerton Dyer Conjectures
by: Shoeib, Maisara
Published: (2025)

Atkin and Swinnerton-Dyer congruences for meromorphic modular forms
by: Allen, Michael, et al.
Published: (2025)

The conjectures of Artin-Tate and Birch-Swinnerton-Dyer
by: Lichtenbaum, S., et al.
Published: (2021)

Unified Solution to the Birch and Swinnerton-Dyer Conjecture via Information Resonance (114/137)
by: A=A' (Independent Researcher)
Published: (2026)

Elliptic Curves as Emergent Space-Time in the Collatz-Octave Model and the Birch and Swinnerton-Dyer Conjecture
by: Martin, Doina
Published: (2025)

Note on a theorem of Birch and Erdős
by: Ding, Yuchen, et al.
Published: (2025)

The Spectral Geometry of Elliptic Curves: Toward Birch–Swinnerton-Dyer
by: ASHER, KIMBERLEY LAVERNE, et al.
Published: (2025)

Polynomial Bounds for Birch's Theorem
by: Lampert, Amichai, et al.
Published: (2025)

Point Counting on Igusa Varieties for function fields
by: Hamacher, Paul, et al.
Published: (2022)

A Formal Resolution of the Birch and Swinnerton-Dyer Conjecture: Spectral Stability in Arithmetic Manifolds and the Deterministic Synchronization of Rank
by: Antun Šantak
Published: (2026)

Two improvements in Birch's theorem on forms
by: Lampert, Amichai, et al.
Published: (2024)

Strength is bounded linearly by Birch rank
by: Baily, Benjamin, et al.
Published: (2024)

The refined Tamagawa number conjectures for $\mathrm{GL}_2$
by: Kim, Chan-Ho, et al.
Published: (2025)

Resolution of the Birch and Swinnerton-Dyer Conjecture Over ℚ: A Rigorous Proof Framework Aligned with Clay Institute Standards
by: Lippy, Donald
Published: (2025)

Effective equidistribution of lattice points in positive characteristic
by: Horesh, Tal, et al.
Published: (2020)

Simultaneously preperiodic points for a family of polynomials in positive characteristic
by: Ghioca, Dragos
Published: (2024)

On the Breaking of the BSD Rank Barrier: A Universal Proof of the Birch and Swinnerton-Dyer Conjecture via Structural Rigidity of the Selmer Module
by: Ihentuge, Uchechukwu
Published: (2026)

On the Breaking of the BSD Rank Barrier: A Universal Proof of the Birch and Swinnerton-Dyer Conjecture via Structural Rigidity of the Selmer Module
by: Ihentuge, Uchechukwu
Published: (2026)

On the power of the discriminant of a univariate polynomial as a certain determinant in positive characteristic
by: Kurihara, Akira
Published: (2026)

On the refined Herglotz-Zagier function
by: Huang, Ziyi
Published: (2024)

On Belyi's Theorem in positive characteristic
by: Joshi, Kirti
Published: (2018)

Counting w-coprime S-integers and S-integral ideals in positive characteristic
by: Liu, Si-Han, et al.
Published: (2025)

On the dynamical Galois group of certain affine polynomials in positive characteristic
by: Ferraguti, Andrea, et al.
Published: (2026)

On non-commutative Iwasawa theory and derivatives of Euler systems
by: Burns, David, et al.
Published: (2022)

On non-commutative Euler systems, I: preliminaries on `det' and `Fit'
by: Burns, David, et al.
Published: (2020)

On refined nonvanishing conjectures by Kurihara and Kolyvagin
by: Castella, Francesc, et al.
Published: (2026)

On the Grothendieck ring of varieties in positive characteristic
by: Joshi, Kirti
Published: (2018)

On a Fiber Conjecture of Wan
by: Schmidt, Matthew
Published: (2023)

Determinant Deadlock and Rank Zero: A Structural Algebraic Complement to the Birch–Swinnerton–Dyer Framework
by: UYGUN, Ender
Published: (2026)