Gun, Sanoli ; Ramakrishnan, B. (2008) On the representation of integers as sums of an odd number of squares The Ramanujan Journal, 15 (3). pp. 367-376. ISSN 1382-4090
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Official URL: http://doi.org/10.1007/s11139-007-9082-0
Related URL: http://dx.doi.org/10.1007/s11139-007-9082-0
Abstract
In a recent work, S. Cooper (J. Number Theory 103:135–162, [1988]) conjectured a formula for r 2k+1(p 2), the number of ways p 2 can be expressed as a sum of 2k+1 squares. Inspired by this conjecture, we obtain an explicit formula for r 2k+1(n 2),n≥1.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer Nature. |
| Keywords: | Representations; Sums Of Squares; Shimura Correspondence. |
| ID Code: | 118004 |
| Deposited On: | 11 May 2021 05:19 |
| Last Modified: | 11 May 2021 05:19 |
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