Explicit upper bound for an average number of divisors of quadratic polynomials

DOI10.1007/s00013-015-0862-2zbMath1354.11063OpenAlexW2208925523MaRDI QIDQ258051

Kostadinka Lapkova

Publication date: 17 March 2016

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: http://real.mtak.hu/34521/1/expl_AM_r2.pdf

zbMATH Keywords

quadratic polynomial\({D(-1)}\)-quadruplesnumber of divisors

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Rate of growth of arithmetic functions (11N56)

Related Items (7)

Explicit upper bound for the average number of divisors of irreducible quadratic polynomials ⋮ Correction to: ``Explicit upper bound for the average number of divisors of irreducible quadratic polynomials ⋮ On the average number of divisors of reducible quadratic polynomials ⋮ An explicit upper bound for \(L(1,\chi)\) when \(\chi\) is quadratic ⋮ There is no Diophantine D(−1)$D(-1)$‐quadruple ⋮ A Pellian equation with primes and applications to \(D(-1)\)-quadruples ⋮ \(D(-1)\) tuples in imaginary quadratic fields

Cites Work

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• On Diophantine quintuples and \(D(-1)\)-quadruples
• On the representation of a number as the sum of a square and a product
• On \(D(-1)\)-quadruples
• Bounds on the number of Diophantine quintuples
• On the number of divisors of quadratic polynomials
• COUNTING THE NUMBER OF SOLUTIONS TO THE ERDŐS–STRAUS EQUATION ON UNIT FRACTIONS
• Remarks on the Pólya–Vinogradov Inequality
• An explicit density estimate for Dirichlet $L$-series
• On the average number of divisors of quadratic polynomials
• On the Sum ∑k=1xd(f(k))

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