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Sum-Product Inequalities with Perturbation

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Veröffentlicht/Copyright: 4. Juni 2011
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Integers
Aus der Zeitschrift Band 11 Heft 3

Abstract

Let A be a set of n > n0(ε) positive real numbers, all at least 1 apart. We show that if δa,b and are arbitrary real numbers satisfying and , we have .

Keywords.: Sum-Product Inequalities; Additive Combinatorics; Sumsets
Received: 2009-09-15
Revised: 2009-04-30
Accepted: 2010-06-07
Published Online: 2011-06-04
Published in Print: 2011-June

© de Gruyter 2011

Artikel in diesem Heft

  1. Preface
  2. On the Intersections of Fibonacci, Pell, and Lucas Numbers
  3. Proving Balanced T2 and Q2 Identities Using Modular Forms
  4. Sum-Product Inequalities with Perturbation
  5. Power Totients with Almost Primes
  6. On the Sum of Reciprocals of Amicable Numbers
  7. Tromping Games: Tiling with Trominoes
  8. There are No Multiply-Perfect Fibonacci Numbers
  9. Large Zero-Free Subsets of ℤ/pℤ
https://doi.org/10.1515/integ.2011.023
Schlagwörter für diesen Artikel
Sum-Product Inequalities; Additive Combinatorics; Sumsets

Artikel in diesem Heft

  1. Preface
  2. On the Intersections of Fibonacci, Pell, and Lucas Numbers
  3. Proving Balanced T2 and Q2 Identities Using Modular Forms
  4. Sum-Product Inequalities with Perturbation
  5. Power Totients with Almost Primes
  6. On the Sum of Reciprocals of Amicable Numbers
  7. Tromping Games: Tiling with Trominoes
  8. There are No Multiply-Perfect Fibonacci Numbers
  9. Large Zero-Free Subsets of ℤ/pℤ
Heruntergeladen am 29.4.2026 von https://www.degruyterbrill.com/document/doi/10.1515/integ.2011.023/html?lang=de
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