Cover Image

A question of Erdös on $3$-powerful numbers and an elliptic curve analogue of the Ankeny-Artin-Chowla conjecture

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Walsh, P. G.
Format:	Preprint
Published:	2024
Subjects:	Number Theory 11D25
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Wieferich primes in number fields and the conjectures of Ankeny--Artin--Chowla and Mordell
by: Fellini, Nic, et al.
Published: (2025)

A counterexample to the Conjecture of Ankeny, Artin and Chowla
by: Reinhart, Andreas
Published: (2024)

On an elementary method for solving $Ax^4-By^2=1$
by: Walsh, P. G.
Published: (2026)

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

Uniqueness theorem of generalized Markov numbers that are prime powers
by: Gyoda, Yasuaki, et al.
Published: (2023)

On a conjecture of Levesque and Waldschmidt II
by: Hilgart, Tobias, et al.
Published: (2024)

Higher Moments for Polynomial Chowla
by: Wilson, Cameron
Published: (2024)

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

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

Resolving Adenwalla's conjecture related to a question of Erdős and Graham about covering systems
by: Jia, Zhengkun, et al.
Published: (2025)

Class numbers and integer points on some Pellian surfaces
by: Diao, Yijie
Published: (2024)

On Artin's conjecture on average and short character sums
by: Klurman, Oleksiy, et al.
Published: (2024)

A conjecture of Erdős on $p+2^k$
by: Chen, Yong-Gao
Published: (2023)

Sharp bounds on the number of squares in recurrence sequences and solutions of $X^{2}-\left( a^{2}+b \right) Y^{4}=-b$
by: Voutier, Paul M
Published: (2018)

A new proof of Chen's theorem for Markoff graphs
by: Martin, Daniel E.
Published: (2025)

Six equations in search of a finite-fold-ness proof
by: Cantone, Domenico, et al.
Published: (2023)

Patterns on elliptic curves beyond Bremner's conjecture
by: Garcia-Fritz, Natalia, et al.
Published: (2026)

Character varieties on a four-holed sphere
by: Shin, Eunju
Published: (2023)

On a Problem by Erdős and Mirsky on the ratio of the number of divisors of consecutive integers
by: Schlage-Puchta, Jan-Christoph
Published: (2025)

The Diophantine equation $b (b+1) (b+2) = t a (a + 1) (a + 2)$ and gap principle
by: Chan, Tsz Ho
Published: (2024)

Three integers whose sum, product and the sum of the products of the integers, taken two at a time, are perfect squares
by: Choudhry, Ajai
Published: (2025)

Diophantine equations involving powers of factorials
by: Novaković, Saša
Published: (2025)

On near superperfect numbers, the Goormaghtigh conjecture, and Mertens' theorem
by: Beri, Satvik, et al.
Published: (2025)

Monogenity of pure quintic fields: the power of sieving
by: Gaál, István
Published: (2026)

On the representation of number-theoretic functions by arithmetic terms
by: Prunescu, Mihai, et al.
Published: (2024)

On split families of Thue equations with linear recurrence sequences as factors
by: Hilgart, Tobias
Published: (2024)

Rational angle bisectors on the coordinate plane and solutions of Pell's equations
by: Hirotsu, Takashi
Published: (2023)

Calculating power integral bases in some quartic fields corresponding to monogenic families of polynomials
by: Gaál, István
Published: (2024)

Calculating generators of power integral bases in sextic fields with a real quadratic subfield
by: Gaál, István
Published: (2025)

Calculating generators of power integral bases in sextic fields with a quadratic subfield: the general case
by: Gaál, István
Published: (2025)

Structure and form of the solutions of the Erdos-Straus conjecture
by: Lopez, Miguel Angel
Published: (2022)

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

The Chowla conjecture and Landau-Siegel zeroes
by: Jaskari, Mikko, et al.
Published: (2024)

On a conjecture of Wooley and lower bounds for cubic hypersurfaces
by: Kumaraswamy, V. Vinay, et al.
Published: (2024)

Random Chowla's Conjecture for Rademacher Multiplicative Functions
by: Chinis, Jake, et al.
Published: (2024)

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

Refinements of Artin's primitive root conjecture
by: Goldmakher, Leo, et al.
Published: (2025)

Generalized fruit Diophantine equation and super elliptic curves
by: Banerjee, Kalyan, et al.
Published: (2026)

On the $2$-adic valuation of $σ_k(n)$
by: Cheng, Kaimin, et al.
Published: (2026)

On variants of Chowla's conjecture
by: Krishnamoorthy, Krishnarjun
Published: (2025)