The Journal of the Indian Mathematical Society

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The Bhargava-Adiga Summation and Partitions


Affiliations
1 The Pennsylvania State University, University Park, PA 16802, United States
     

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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.

Keywords

Bhargava-Adiga, Ramanujan, Compact Partitions, Self-Conjugate Partitions.
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  • The Bhargava-Adiga Summation and Partitions

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Authors

George E. Andrews
The Pennsylvania State University, University Park, PA 16802, United States

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.

Keywords


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

References