Generalizations of the truncated pentagonal number theorem results

Andrews, G.E.: The Theory of Partitions. Encyclopedia of Mathematics and Its Applications, vol. 2. Addison-Wesley, Reading (1976)

Andrews, G.E., Merca, M.: The truncated pentagonal number theorem. J. Comb. Theory Ser. A 119(8), 1639–1643 (2012)

Kolitsch, L.W.: Overpartitions and truncated partition identities. Analytic number theory, modular forms and q-hypergeometric series, 393–400, Springer Proc. Math. Stat., 221, Springer, Cham (2017)

Kolitsch, L.W., Burnette, M.: Interpreting the truncated pentagonal number theorem using partition pairs. Electron. J. Combin. 22, no. 2, Paper 2.55 (2015)

Shanks, D.: A short proof of an identity of Euler. Proc. Am. Math. Soc. 2, 747–749 (1951)

Xia, E.X.W., Yee, A.J., Zhao, X.: New truncated theorems for three classical theta function identities. Eur. J. Comb.