29 citations · 90 across the 22 of their papers we have counts for
4 papers · 1 filter
-adic properties of modular shifted convolution Dirichlet series
Kathrin Bringmann, Michael H. Mertens, Ken Ono
Hoffstein and Hulse recently introduced the notion of shifted convolution Dirichlet series for pairs of modular forms and . The second two authors investigated certain s…
Asymptotic formulae for partition ranks
Jehanne Dousse, Michael H. Mertens
Using an extension of Wright's version of the circle method, we obtain asymptotic formulae for partition ranks similar to formulae for partition cranks which where conjectured by F…
Special values of shifted convolution Dirichlet series
Michael H. Mertens, Ken Ono
In a recent important paper, Hoffstein and Hulse generalized the notion of Rankin-Selberg convolution -functions by defining shifted convolution -functions. We investigate sy…
Eichler-Selberg Type Identities for Mixed Mock Modular Forms
Michael H. Mertens
Using holomorphic projection, we work out a parametrization for all relations of products (resp. Rankin-Cohen brackets) of weight mock modular forms with holomorphic sh…