Dyson's ranks and Appell-Lerch sums

Hickerson, D; Mortenson, E

Mortenson, E (reprint author), Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia.; Mortenson, E (reprint author), Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany.

MATHEMATISCHE ANNALEN, 2017; 367 (1-2): 373

Abstract

Denote by p(n) the number of partitions of n and by N(a, M; n) the number of partitions of n with rank congruent to a modulo M. We find and prove a ge......

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