Abstract.
Let be the largest n such that for every set
with at most n elements there exists at least one element in
with less than K representations. We show a new lower bound for
:
Received: 2011-02-09
Accepted: 2012-02-13
Published Online: 2012-08-01
Published in Print: 2012-08-01
© 2012 by Walter de Gruyter Berlin Boston
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Keywords for this article
Representation Function;
Sumset;
Minimal Number of Representations
Articles in the same Issue
- Masthead
- On Weakly Complete Sequences Formed by the Greedy Algorithm
- Bijective Proofs of Vajda's Ninetieth Fibonacci Number Identity and Related Identities
- Newman Polynomials, Reducibility, and Roots on the Unit Circle
- A Property of Twin Primes
- Number of Permutations with Prescribed Up-Down Structure as a Function of Two Variables
- A -Expansion Associated to Sturmian Sequences
- On the Number of Carries Occurring in an Addition Mod
- A Probabilistic Look at Series Involving Euler's Totient Function
- Fibonacci Variations of a Conjecture of Polignac
- Extending Nathanson Heights to Arbitrary Finite Fields
- On the Maximal Cross Number of Unique Factorization Zero-Sum Sequences over a Finite Abelian Group
- An Explicit Bound for Aliquot Cycles of Repdigits
- A Note on the Minimal Number of Representations in
- A Unified Proof of Two Classical Theorems on CNS Polynomials
- On the Problem of Molluzzo for the Modulus 4
- On Multiplicative Functions with Bounded Partial Sums
- Avoiding Type or Patterns in a Partition of a Set