Exact generating functions for p_nu(50n+8), p_omega(40n+12), spt_omega(10n+3), spt_omega(10n+5), spt_omega(50n+23), spt_omega(50n+25) and new congruences modulo powers of 5.
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Generating Functions and Congruences for Some Partition Functions Related to Mock Theta Functions
Exact generating functions for p_nu(50n+8), p_omega(40n+12), spt_omega(10n+3), spt_omega(10n+5), spt_omega(50n+23), spt_omega(50n+25) and new congruences modulo powers of 5.