New families of q-series identities for powers of the generating function of triangular numbers are proved via indefinite theta functions and affine Lie superalgebra denominator identities.
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Indefinite theta functions arising from affine Lie superalgebras and sums of triangular numbers
New families of q-series identities for powers of the generating function of triangular numbers are proved via indefinite theta functions and affine Lie superalgebra denominator identities.