Image de couverture de livre

Multiplicative structure of shifted multiplicative subgroups and its applications to Diophantine tuples

Fuente: arXiv

Enregistré dans:

Détails bibliographiques
Auteurs principaux:	Kim, Seoyoung, Yip, Chi Hoi, Yoo, Semin
Format:	Preprint
Publié:	2023
Sujets:	Number Theory Primary 11B30, 11D72, Secondary 11D45, 11N36, 11L40
Accès en ligne:	Acceder al recurso
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

Documents similaires

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

Diophantine tuples and product sets in shifted powers
par: Croot, Ernie, et autres
Publié: (2025)

Explicit constructions of Diophantine tuples over finite fields
par: Kim, Seoyoung, et autres
Publié: (2024)

Bipartite Diophantine tuples and their applications
par: Tsang, Kin Ming, et autres
Publié: (2025)

$f$-Diophantine sets over finite fields via quasi-random hypergraphs from multivariate polynomials
par: Kim, Seoyoung, et autres
Publié: (2025)

Improved upper bounds on Diophantine tuples with the property $D(n)$
par: Yip, Chi Hoi
Publié: (2024)

Lattice points on determinant surfaces and the spectrum of the automorphic Laplacian
par: Ganguly, Satadal, et autres
Publié: (2024)

Multiplicative irreducibility of shifted multiplicative subgroups
par: Kim, Seoyoung, et autres
Publié: (2026)

Strong paucity in the Brüdern-Robert Diophantine system
par: Wooley, Trevor D.
Publié: (2026)

Multiplicative irreducibility of small perturbations of the set of shifted $k$-th powers
par: Yip, Chi Hoi
Publié: (2025)

$F$-Diophantine sets over finite fields
par: Yip, Chi Hoi, et autres
Publié: (2024)

Arithmetic regularity as an alternative to transference
par: Chow, Sam, et autres
Publié: (2026)

Refined Counting of Geodesic Segments in the Hyperbolic Plane
par: Voskou, Marios
Publié: (2024)

Asymptotic and non-asymptotic results for a binary additive problem involving Piatetski-Shapiro numbers
par: Yoshida, Yuuya
Publié: (2024)

Moments of restricted divisor functions
par: Afifurrahman, Muhammad, et autres
Publié: (2025)

A uniform formula on the number of integer matrices with given determinant and height
par: Afifurrahman, Muhammad
Publié: (2024)

On solutions of $\sum_{i=1}^n 1/x_i = 1$ in integers of the form $2^a k^b$
par: Louwsma, Joel
Publié: (2024)

Structure and paucity in affine diagonal systems, I
par: Brandes, Julia, et autres
Publié: (2026)

The exceptional set in the abc conjecture
par: Bernert, Christian
Publié: (2025)

Products of factorials which are products of factorials
par: Novaković, Saša
Publié: (2026)

On Manin's conjecture for Châtelet surfaces
par: Woo, Katharine
Publié: (2024)

On the largest value of the solutions of Erdős's last equation
par: Pink, István, et autres
Publié: (2024)

Arithmetic Ramsey theory over the primes
par: Chapman, Jonathan, et autres
Publié: (2024)

Additive Ramsey theory over Piatetski-Shapiro numbers
par: Chapman, Jonathan, et autres
Publié: (2024)

Hilbert cubes in sets with arithmetic properties
par: Croot, Ernie, et autres
Publié: (2026)

On a generalization of the Brocard--Ramanujan Diophantine equation
par: Novaković, Saša
Publié: (2026)

A comment on the equation $n!!=a_1!!\cdots a_t!!$
par: Novaković, Saša
Publié: (2026)

Product representations of polynomials over finite fields
par: Lee, Hyunwoo, et autres
Publié: (2026)

On a conjecture of Wooley and lower bounds for cubic hypersurfaces
par: Kumaraswamy, V. Vinay, et autres
Publié: (2024)

Rational points on varieties defined by multihomogeneous diagonal forms
par: Kim, Doyon, et autres
Publié: (2025)

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

Integral solutions to systems of diagonal equations
par: Rome, Nick, et autres
Publié: (2024)

Exceptions to the Erd\H os--Straus--Schinzel conjecture
par: Pomerance, Carl, et autres
Publié: (2025)

Sieving with square conditions and applications to Hilbert cubes in arithmetic sets
par: Dietmann, Rainer, et autres
Publié: (2026)

Sign changes of Kloosterman sums with moduli having at most six prime factors
par: Zhang, Tianping, et autres
Publié: (2024)

Counting $2\times 2$ matrices with fixed determinant and bounded coefficients
par: Dhanda, Kavita, et autres
Publié: (2025)

Fibonacci Numbers and Vieta Jumping for a Rational Diophantine Equation
par: Miller, Steven J., et autres
Publié: (2026)

The sufficient conditions for insolvability of some Diophantine equations of $n$-th degree
par: Samsonadze, Eteri
Publié: (2025)

The extensibility of the Diophantine triple $\{2, b, c\}$
par: Adžaga, Nikola, et autres
Publié: (2026)

An asymptotic formula with power-saving error term for counting prime solutions to a binary additive problem
par: Guria, Rachita
Publié: (2024)