# NEW INFINITE FAMILIES OF CONGRUENCES MODULO 4 AND 8 FOR 1-SHELL TOTALLY SYMMETRIC PLANE PARTITIONS

@inproceedings{Yao2014NEWIF, title={NEW INFINITE FAMILIES OF CONGRUENCES MODULO 4 AND 8 FOR 1-SHELL TOTALLY SYMMETRIC PLANE PARTITIONS}, author={Olivia X. M. Yao}, year={2014} }

- Published 2014
DOI:10.1017/S0004972713001160

In 2012, Blecher [‘Geometry for totally symmetric plane partitions (TSPPs) with self-conjugate main diagonal’, Util. Math. 88 (2012), 223–235] introduced a special class of totally symmetric plane partitions, called 1-shell totally symmetric plane partitions. Let f(n) denote the number of 1-shell totally symmetric plane partitions of weight n. More recently, Hirschhorn and Sellers [‘Arithmetic properties of 1-shell totally symmetric plane partitions’, Bull. Aust. Math. Soc. to appear. Published… CONTINUE READING

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## An infinite family of congruences for 1-shell totally symmetric plane partitions

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## Congruences for partition functions related to mock theta functions

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