Download the whole paper in PDF format

B. R. Srivatsa Kumar, N. V. Sayinath Udupa,
Combinatorial Interpretations of Theta Function Identities of Levels 10 and 14.
Int. J. Math. Comput. Sci., 21, no. 1, (2026), 157-160.

DOI:

https://doi.org/10.69793/ijmcs/01.2026/udupa

Keywords and phrases:

Congruences, partitions, q-identities, Theta functions.

Abstract:

In this investigation, we establish combinatorial relations corresponding to the theta function identities of levels 10 and 14 obtained in [2]. These relations are validated through the framework of colored partitions. Also, examples are provided to substantiate the proposed interpretations and to clarify the underlying combinatorial structures.