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math.NT2026
Depth Two Mock Modularity by Eisenstein Series Coupling
Kathrin Bringmann, Caner Nazaroglu
The notion of depth two and higher mock modular forms have found important applications in mathematical physics and enumerative geometry since their inception through indefinite th…
math.NT2026
False and partial Eisenstein series related to unimodal sequences
Kathrin Bringmann, Badri Vishal Pandey, Jan-Willem van Ittersum
Motivated by the fact that the classical Jacobi theta function is the exponential generating function of the Eisenstein series, we study the exponential Taylor coeffici…