Cover Image

On a conjecture of Wooley and lower bounds for cubic hypersurfaces

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kumaraswamy, V. Vinay, Rome, Nick
Format:	Preprint
Published:	2024
Subjects:	Number Theory 11D45, 11P55, 14G05, 11D25, 11N36
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Integral solutions to systems of diagonal equations
by: Rome, Nick, et al.
Published: (2024)

Counting solutions to quadratic polynomials
by: Kumaraswamy, V. Vinay
Published: (2024)

The leading constant for rational points in families
by: Loughran, Daniel, et al.
Published: (2022)

Integral Hasse principle for Markoff type cubic surfaces
by: Mishra, Hrishabh
Published: (2024)

Beyond the square-root barrier: cubic forms of Perazzo type
by: Browning, Tim, et al.
Published: (2026)

On the existence of magic squares of powers
by: Rome, Nick, et al.
Published: (2024)

The Hasse principle for diagonal forms restricted to a hypersurface of adjacent degree
by: Johansson, Anna Theorin
Published: (2026)

A two-dimensional delta symbol method and its application to pairs of quadratic forms
by: Li, Junxian, et al.
Published: (2024)

Integral points on cubic twists of Mordell curves
by: Chan, Stephanie
Published: (2022)

Optimal sums of three cubes in $\mathbb{F}_q[t]$
by: Browning, Tim, et al.
Published: (2024)

Manin's conjecture for the chordal cubic fourfold
by: Derenthal, Ulrich
Published: (2025)

Sums of three cubes over a function field
by: Browning, Tim, et al.
Published: (2024)

Least zero of pairs of additive cubic equations
by: Xiao, Yixiu, et al.
Published: (2025)

The Circle Method for Quadrics over Function Fields
by: Mettasch, Johanna
Published: (2026)

Density of solutions for systems of forms
by: Lampert, Amichai
Published: (2025)

Almost all quadratic twists of an elliptic curve have no integral points
by: Browning, Tim, et al.
Published: (2024)

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

Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method
by: Glas, Jakob, et al.
Published: (2024)

Random Diophantine equations of large degree
by: Browning, Tim, et al.
Published: (2025)

Points of bounded height on projective spaces over global function fields via geometry of numbers
by: Phillips, Tristan
Published: (2022)

Square-free orders for CM elliptic curves modulo $p$ in short intervals
by: Wong, Peng-Jie
Published: (2024)

Polylogarithmic motivic Chabauty-Kim for $\mathbb{P}^1 \setminus \{ 0,1,\infty \}$: the geometric step via resultants
by: Jarossay, David, et al.
Published: (2024)

Multiplicatively reducible subsets of shifted perfect $k$-th powers and bipartite Diophantine tuples
by: Yip, Chi Hoi
Published: (2023)

Rational points on varieties defined by multihomogeneous diagonal forms
by: Kim, Doyon, et al.
Published: (2025)

Bateman-Horn, polynomial Chowla and the Hasse principle with probability 1
by: Browning, Tim, et al.
Published: (2022)

How often does a cubic hypersurface have a rational point?
by: Beneish, Lea, et al.
Published: (2024)

Rational curves on complete intersections and the circle method
by: Browning, Tim, et al.
Published: (2024)

Linear growth and moduli spaces of rational curves
by: Glas, Jakob
Published: (2025)

$\mathcal{M}$-points of bounded height on toric varieties
by: Moerman, Boaz
Published: (2025)

Counting integer points on affine surfaces with a side condition
by: Browning, Tim, et al.
Published: (2024)

Cyclicity and exponent of elliptic curves modulo $p$ in arithmetic progressions
by: Wong, Peng-Jie
Published: (2023)

2-Selmer Groups over Multiquadratic Extensions
by: Paterson, Ross
Published: (2024)

Binary Cubic Forms and Rational Cube Sum Problem
by: Jha, Somnath, et al.
Published: (2023)

Rank of the family of elliptic curves $y^2 = x^3- 5px$
by: Ghosh, Arkabrata
Published: (2025)

Solution of certain Diophantine equations in Gaussian integers
by: Ghosh, Arkabarata
Published: (2024)

On the Family of Elliptic Curves $y^2=x^3-5pqx$
by: Ghosh, Arkabrata
Published: (2025)

Counting $2\times 2$ matrices with fixed determinant and bounded coefficients
by: Dhanda, Kavita, et al.
Published: (2025)

Paucity of rational points on fibrations with multiple fibres
by: Browning, Tim, et al.
Published: (2023)

On the equation $N_{p_1}(E)\cdot N_{p_2}(E)\cdots N_{p_k}(E)=n$
by: Joshi, Kirti
Published: (2017)

Anisotropic quadratic equations in three variables
by: Li, Jiamin, et al.
Published: (2025)