Partitions with Congruence Conditions

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Authors

  • V. V. Subrahmanyasastri
     S. V. University, Tirupati, A.P. ,IN

Abstract

Let m be a given natural number and a={a1, a2,..., ar}, 1 < a3<m/2, aj≠at,j≠t and let pa(n) denote the number of partitions of the natural number n into summands congruent to ± aj(mod m), aj∈a. In the present paper convergent series and asymptotic formulae are obtained for pa{n). Also for qa(n), the corresponding partition function with distinct summands, the corresponding results are obtained by the author-they are mentioned here omitting details.

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Published

1972-12-01

How to Cite

Subrahmanyasastri, V. V. (1972). Partitions with Congruence Conditions. The Journal of the Indian Mathematical Society, 36(3-4), 177–194. Retrieved from https://informaticsjournals.co.in/index.php/jims/article/view/16663

Issue

Volume 36, Issue 3-4, September-December 1972

Section

Articles

License

Copyright (c) 1972 V. V. Subrahmanyasastri

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

References

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