Kim, Aeran (2018) The Convolution Sums with the Number of Representations of a Positive Integer as Sum of 6 Squares. Asian Research Journal of Mathematics, 10 (4). pp. 1-17. ISSN 2456477X
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Official URL: https://doi.org/10.9734/ARJOM/2018/43408
Abstract
For a1,a2,���,a62Nandn2N[f0g, we de neR6(a1,a2,���,a6;n) = cardf(x1,x2,���,x6)2Z6jn=a1x21+a2x22+���+a6x26gand mainly we obtain some convolution sumsn1∑m=1R6(1,1,1,1,4,4; 4m)R6(1,1,1,1,4,4; 4n4m),n∑m=1R6(1,1,1,4,4,4; 4m2)R6(1,1,1,4,4,4; 4n4m+ 2),2n1∑m=1R6(1,1,1,1,1,4; 2m)R6(1,1,1,1,1,4; 4n2m),and etc.
| Item Type: | Article |
|---|---|
| Subjects: | Open Archive Press > Mathematical Science |
| Depositing User: | Unnamed user with email support@openarchivepress.com |
| Date Deposited: | 27 Apr 2023 06:50 |
| Last Modified: | 20 Mar 2024 04:50 |
| URI: | http://library.2pressrelease.co.in/id/eprint/1046 |
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