Unextendible sequences in finite abelian groups.
Unification of the quintuple and septuple product identities.
Unification of zero-sum problems, subset sums and covers of .
Uniform distribution of recurrences in Dedekind domains
Uniform distribution of third order linear recurrence sequences
Uniform distrubution, positive trigonometric polynomials and difference sets
Uniformly thin bases of order two
Unimodal rays in the regular and generalized Pascal pyramids.
Unimodality of certain sequences connected with binomial coefficients.
Unimodular brackets and related structures
Unimodular Pisot substitutions and their associated tiles
Let be a unimodular Pisot substitution over a letter alphabet and let be the associated Rauzy fractals. In the present paper we want to investigate the boundaries () of these fractals. To this matter we define a certain graph, the so-called contact graph of . If satisfies a combinatorial condition called the super coincidence condition the contact graph can be used to set up a self-affine graph directed system whose attractors are certain pieces of the boundaries . From this graph...
Unique difference bases of .
Unique representation bases for the integers
Units and norm residue symbol
Universal formulae of Euler-Fermat type for subsets of Zm.
Universal sets and the vector game.
Univoque numbers and an avatar of Thue-Morse
Untersuchungen über den Summenbegriff in der additiven Zahlentheorie
Upper and lower bounds for a function related to Brown's Lemma.
Upper bounds on the cardinality of higher sumsets
Let A and B be finite sets in a commutative group. We bound |A+hB| in terms of |A|, |A+B| and h. We provide a submultiplicative upper bound that improves on the existing bound of Imre Ruzsa by inserting a factor that decreases with h.