Bounds for the size of sets with the property D(n)

DOI10.3336/gm.39.2.01zbMath1080.11027arXivmath/0304242OpenAlexW2127984092WikidataQ57595939 ScholiaQ57595939MaRDI QIDQ4662136

Andrej Dujella

Publication date: 30 March 2005

Published in: Glasnik Matematicki (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0304242

zbMATH Keywords

Diophantine \(m\)-tupleslarge sieveproperty \(D(n)\)

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Counting solutions of Diophantine equations (11D45) Applications of sieve methods (11N36)

Related Items (13)

The extension of the \(D(-k)\)-pair \(\{k,k+1\}\) to a quadruple ⋮ Triples which are \(D(n)\)-sets for several \(n\)'s ⋮ AN EFFECTIVE BOUND FOR GENERALISED DIOPHANTINE m-TUPLES ⋮ There is no Diophantine D(−1)$D(-1)$‐quadruple ⋮ A polynomial variant of diophantine triples in linear recurrences ⋮ A POLYNOMIAL VARIANT OF A PROBLEM OF DIOPHANTUS FOR PURE POWERS ⋮ Diophantine \(m\)-tuples for linear polynomials. II: Equal degrees ⋮ The Paley graph conjecture and Diophantine \(m\)-tuples ⋮ Diophantine quadruples with the properties \(D(n_1)\) and \(D(n_2)\) ⋮ Diophantine quadruples in \(\mathbb{Z}[i[X]\)] ⋮ On the largest element in \(D(n)\)-quadruples ⋮ Diophantine tuples over $\mathbb {Z}_p$ ⋮ On the existence of \(D(-3)\)-quadruples over \(\mathbb{Z}\)

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