ON LIOUVILLE’S TWELVE SQUARES THEOREM

Kenneth S. Williams (Canada)

Received January 26, 2008

References:

[1] B. C. Berndt, Number Theory in the Spirit of Ramanujan, Amer. Math. Soc., Providence, RI, USA, 2006. [2] J. G. Huard and K. S. Williams, Sums of twelve squares, Acta Arith. 109 (2003), 195-204. [3] J. Liouville, Extrait d’une lettre adressée à M. Besge, J. Math. Pures Appl. 9 (1864), 296-298. [4] K. S. Williams, The convolution sum Pacific J. Math. 228 (2006), 387-396.

Keywords and phrases: sums of twelve squares, Liouville’s formula, theta functions.