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Sum-Product Inequalities with Perturbation
-
Spencer Backman
,
Ernie Croot
Published/Copyright:
June 4, 2011
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 
.
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
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Articles in the same Issue
- Preface
- On the Intersections of Fibonacci, Pell, and Lucas Numbers
- Proving Balanced T2 and Q2 Identities Using Modular Forms
- Sum-Product Inequalities with Perturbation
- Power Totients with Almost Primes
- On the Sum of Reciprocals of Amicable Numbers
- Tromping Games: Tiling with Trominoes
- There are No Multiply-Perfect Fibonacci Numbers
- Large Zero-Free Subsets of ℤ/pℤ
Articles in the same Issue
- Preface
- On the Intersections of Fibonacci, Pell, and Lucas Numbers
- Proving Balanced T2 and Q2 Identities Using Modular Forms
- Sum-Product Inequalities with Perturbation
- Power Totients with Almost Primes
- On the Sum of Reciprocals of Amicable Numbers
- Tromping Games: Tiling with Trominoes
- There are No Multiply-Perfect Fibonacci Numbers
- Large Zero-Free Subsets of ℤ/pℤ
