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https://doi.org/10.1023/A:1026226608128
Title: | Representations of Integers as Sums of 32 Squares | Authors: | Chan, H.H. Chua, K.S. |
Keywords: | Eisenstein series Sums of squares |
Issue Date: | Mar-2003 | Citation: | Chan, H.H., Chua, K.S. (2003-03). Representations of Integers as Sums of 32 Squares. Ramanujan Journal 7 (1-3) : 79-89. ScholarBank@NUS Repository. https://doi.org/10.1023/A:1026226608128 | Abstract: | In this paper, we derive a new explicit formula for r32(n), where rk(n) is the number of representations of n as a sum of k squares. For a fixed integer k, our method can be used to derive explicit fomulas for r8k(n). We conclude the paper with various conjectures that lead to explicit formulas for r2k(n), for any fixed positive integer k > 4. | Source Title: | Ramanujan Journal | URI: | http://scholarbank.nus.edu.sg/handle/10635/104050 | ISSN: | 13824090 | DOI: | 10.1023/A:1026226608128 |
Appears in Collections: | Staff Publications |
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