This proceedings volume is based on papers presented at the Workshops on Combinatorial and Additive Number Theory (CANT), which were held at the Graduate Center of the City University of New York in 2011 and 2012. The goal of the workshops is to survey recent progress in combinatorial number theory and related parts of mathematics. The workshop attracts researchers and students who discuss the state-of-the-art, open problems and future challenges in number theory.
Generalized Ramanujan primes.- Arithmetic congruence monoids: A survey.-
A short proof of Kneser's addition theorem for abelian groups.- Lower and
upper classes of natural numbers.- The probability that random positive
integers are 3-wise relatively prime.- Sharpness of Falconer's estimate, and
the single distance problem in Zdq.- Finding and counting MST sets.- Density
versions of Plünnecke inequality: Epsilon-delta approach.- Problems and
results on intersective sets.- Polynomial differences in the primes.- Most
subsets are balanced in finite groups.- Gaussian Behavior in Generalized
Zeckendorf Decompositions.- Additive number theory and linear semigroups with
intermediate growth.- Adjoining identities and zeros to semigroups.- On the
Grothendieck group associated to solutions of a functional equation arising
from multiplication of quantum integers.- The Plünnecke-Ruzsa inequality:An
overview.- Lerch Quotients, Lerch Primes, Fermat-Wilson Quotients, and the
Wieferich-non-Wilson Primes 2, 3, 14771.- On sums related to central binomial
and trinomial coefficients.
