1 Oct
2010
1 Oct
'10
9:32 a.m.
I now see that your identity is of a slightly different type than Somos' identities (which involve all divisors of some N). For viewing pleasure I write Ek for Dedekind-eta(q^k). Your identity is 0== -E1^60*E2^24 +E1^72*E3^12 +12*E1^48*E2^24*E3^12 +196608*E1^24*E2^48*E3^12 +16777216*E2^72*E3^12 -196830*E1^36*E2^24*E3^24 -19131876*E1^24*E2^24*E3^36 -387420489*E1^12*E2^24*E3^48 (btw. the polynomial does not factor, says ginac) I wonder whether your identity can somehow be recast into identities of Somos. * Bill Gosper <billgosper@gmail.com> [Oct 01. 2010 09:35]:
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