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math.NT2017
Noncommutative modular symbols and Eisenstein series
Gautam Chinta, Ivan Horozov, Cormac O'Sullivan
We form real-analytic Eisenstein series twisted by Manin's noncommutative modular symbols. After developing their basic properties, these series are shown to have meromorphic conti…
math.NT2017
Partitions and Sylvester waves
Cormac O'Sullivan
The restricted partition function counts the partitions of the integer into at most parts. In the nineteenth century Sylvester described these partitions as a sum…