Geodesic
Split \((n+t)\)-color partitions and Gordon-McIntosh eight order mock theta functions
A.K. Agarwal1 ; G. Sood1
1Panjab University, Chandigarh
The electronic journal of combinatorics, Tome 21 (2014) no. 2
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In 2004, the first author gave the combinatorial interpretations of four mock theta functions of Srinivasa Ramanujan using $n$-color partitions which were introduced by himself and G.E. Andrews in 1987. In this paper we introduce a new class of partitions and call them "split $(n+t)$-color partitions". These new partitions generalize Agarwal-Andrews $(n+t)$-color partitions. We use these new combinatorial objects and give combinatorial meaning to two basic functions of Gordon-McIntosh found in 2000. They used these functions to establish the modular transformation formulas for certain eight order mock theta functions. The work done here has a great potential for future research.
DOI : 10.37236/3726
Classification : 05A15, 05A17, 11P81
Mots-clés : mock theta functions, \((n+t)\)-color partitions, split \((n+t)\)-color partitions, combinatorial interpretations

A.K. Agarwal  1   ; G. Sood  1

1 Panjab University, Chandigarh 
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     title = {Split \((n+t)\)-color partitions and {Gordon-McIntosh} eight order mock theta functions},
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A.K. Agarwal; G. Sood. Split \((n+t)\)-color partitions and Gordon-McIntosh eight order mock theta functions. The electronic journal of combinatorics, Tome 21 (2014) no. 2. doi: 10.37236/3726

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