# Meeting Details

Title: Some problems of Partitio Numerorum': Hybrid expressions Algebra and Number Theory Seminar Robert C. Vaughan, Penn State University In the 1920s Hardy and Littlewood produced a series of seminal papers with the generic title "Some problems of Partitio Numerorum'". The third of these has the subtitle "On the expression of a number as a sum of primes". In addition to primes they also consider their new method as a heuristic leading to a range of conjectures on a spread of additive problems. Many of these concern hybrid questions in which the summands can be combinations of primes and powers. In part this talk is a rather eclectic survey of some of these questions and their relatives and in part it is a description of some recent work of the speaker and his collaborators on questions of a "hybrid" kind.