29 citations · 90 across the 22 of their papers we have counts for
Showing 2015Show all
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math.NT2015★ 5 cited
The Number of Parts in Certain Residue Classes of Integer Partitions
Olivia Beckwith, Michael Mertens
We use the Circle Method to derive asymptotic formulas for functions related to the number of parts of partitions in particular residue classes.
math.NT2015
Lacunary recurrences for Eisenstein series
Michael H. Mertens, Larry Rolen
Using results from the theory of modular forms, we reprove and extend a result of Romik about lacunary recurrence relations for Eisenstein series.
math.NT2015★ 3 cited
On class invariants for non-holomorphic modular functions and a question of Bruinier and Ono
Michael H. Mertens, Larry Rolen
Recently, Bruinier and Ono found an algebraic formula for the partition function in terms of traces of singular moduli of a certain non-holomorphic modular function. In this paper…