Adiga, Chandrashekar and Surekha, M. S. and Vanitha, A.
(2015)
*Hurwitz type results for sum of two triangular numbers.*
Journal of Analysis and Number Theory, 3 (2).
pp. 133-135.
ISSN 2375-2807

## Abstract

Let t2(n) denote the number of representations of n as a sum of two triangular numbers and t (a,b) (n) denote number of representations of n as a sum of a times triangular number and b times triangular number. In this paper, we prove number of results in which generating functions of t2(n) and t (1,3) (n) are infinite product. We also establish relations between t (1,3) (n), t (1,12) (n), t (3,4) (n), t2(n) and t (1,4) (n).

Item Type: | Article |
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Uncontrolled Keywords: | Representation of Triangular Numbers and Generating Functions and Theta Functions |

Subjects: | E Mathematical Science > Mathematics |

Divisions: | Department of > Mathematics |

Depositing User: | Shrirekha N |

Date Deposited: | 29 Jun 2019 05:43 |

Last Modified: | 29 Jun 2019 05:43 |

URI: | http://eprints.uni-mysore.ac.in/id/eprint/4130 |

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