Combinatorial and Additive Number Theory: CANT 2011 and 2012

Front Matter....Pages i-viii
Generalized Ramanujan Primes....Pages 1-13
Arithmetic Congruence Monoids: A Survey....Pages 15-38
A Short Proof of Kneser’s Addition Theorem for Abelian Groups....Pages 39-41
Lower and Upper Classes of Natural Numbers....Pages 43-53
The Probability That Random Positive Integers Are 3-Wise Relatively Prime....Pages 55-61
Sharpness of Falconer’s Estimate and the Single Distance Problem in ℤ q d $$\mathbb{Z}_{q}^{d}$$ ....Pages 63-77
Finding and Counting MSTD Sets....Pages 79-98
Density Versions of Plünnecke Inequality: Epsilon-Delta Approach....Pages 99-113
Problems and Results on Intersective Sets....Pages 115-128
Polynomial Differences in the Primes....Pages 129-146
Most Subsets Are Balanced in Finite Groups....Pages 147-157
Gaussian Behavior in Generalized Zeckendorf Decompositions....Pages 159-173
Additive Number Theory and Linear Semigroups with Intermediate Growth....Pages 175-194
Adjoining Identities and Zeros to Semigroups....Pages 195-201
On the Grothendieck Group Associated to Solutions of a Functional Equation Arising from Multiplication of Quantum Integers....Pages 203-227
The Plünnecke–Ruzsa Inequality: An Overview....Pages 229-241
Lerch Quotients, Lerch Primes, Fermat-Wilson Quotients, and the Wieferich-Non-Wilson Primes 2, 3, 14771....Pages 243-255
On Sums Related to Central Binomial and Trinomial Coefficients....Pages 257-312