The Bhargava-Adiga Summation and Partitions

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Authors

  • The Pennsylvania State University University Park, PA 16802 ,US

DOI:

https://doi.org/10.18311/jims/2017/15836

Keywords:

Bhargava-Adiga, Ramanujan, Compact Partitions, Self-Conjugate Partitions

Abstract

The Bhargava-Adiga summation rivals the 1ψ1􀀀summation of Ramanujan in elegance. This paper is devoted to two applications in the theory of integer partitions leading to partition questions related to Gauss's celebrated three triangle theorem.

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Published

2017-07-01

How to Cite

Andrews, G. E. (2017). The Bhargava-Adiga Summation and Partitions. The Journal of the Indian Mathematical Society, 84(3-4), 151–160. https://doi.org/10.18311/jims/2017/15836
Received 2017-04-05
Accepted 2017-04-05
Published 2017-07-01

 

References

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G. E. Andrews and B. C. Berndt, Ramanujan's Lost Notebook, Part I, Springer, New York, 2005.

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