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math.NT2012
On the magnitudes of some small cyclotomic integers
Frederick Robinson, Michael Wurtz
We prove the last of five outstanding conjectures made by R.M. Robinson from 1965 concerning small cyclotomic integers. In particular, given any cyclotomic integer all of whose…
math.NT2012
k-Run Overpartitions and Mock Theta Functions
Kathrin Bringmann, Alexander Holroyd, Karl Mahlburg +1
In this paper we introduce k-run overpartitions as natural analogs to partitions without k-sequences, which were first defined and studied by Holroyd, Liggett, and Romik. Following…