On the representation of integers as sums of an odd number of squares |
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| Authors: | Sanoli Gun B Ramakrishnan |
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| Institution: | (1) Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad, 211 019, India |
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| 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.
Dedicated to Srinivasa Ramanujan. |
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| Keywords: | Representations Sums of squares Shimura correspondence |
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