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Graphs and Ramsey theory applied to number theoretic properties of sumsets
Thu 21 February 2013, 16:30
David S. Gunderson
University of Manitoba
Organisers: Tom McCourt, Tony Nixon, Karen Gunderson
ABSTRACT
In 1999, Rivat, Sarkozy and Stewart proved a result regarding maximal cardinalities of sets A, B in [N] so that every element in A+B has an even number of (not necessarily distinct) prime factors. Using Ramsey theory and extremal graph theory, their work is extended in several directions. For example, a result concerning the Liousville function is extended to a large class of completely multiplicative functions.
This is joint work with Christian Elsholtz (Graz).