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A proof of Eperson's conjecture

Published online by Cambridge University Press:  01 August 2016

Michael D. Hirschhorn
Michael D. Hirschhorn*
Affiliation:
School of Mathematics, UNSW, Sydney 2052, Australia, email: [email protected]
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Extract

Eperson's conjecture is that if n ⩾ 3 is odd then 3n2 can be written in at least two ways as a sum of three squares. We shall give a fairly elementary proof of this, from scratch.

Let q be a real or complex number with

Define for n ⩾ 1.

Type
Articles
Information
The Mathematical Gazette , Volume 84 , Issue 501 , November 2000 , pp. 442 - 446
Copyright
Copyright © The Mathematical Association 2000

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References

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