A126581 Freeman Dyson's list of values of k for which there is an identity of a certain type for the k-th power of the Dedekind eta function.

3, 8, 10, 14, 15, 21, 24, 26, 28, 35, 36, 45, 48, 52, 55, 63, 66, 78, 80, 91, 99, 105, 120, 133, 136, 143, 153, 168, 171, 190, 195, 210, 224, 231, 248, 253, 255, 276, 288, 300, 323, 325, 351, 360, 378, 399, 406, 435, 440, 465, 483, 496, 528, 561, 575, 595, 624, 630

Offset: 1

Author

N. J. A. Sloane, Mar 17 2007

Keywords

• nonn

Comments

I. G. Macdonald showed that this list is the same as A003038 except for the presence of the number 26.

References

• Freeman J. Dyson, Missed opportunities, Bull. Amer. Math. Soc. 78 (1972), 635-652.
• N. Jacobson, Lie Algebras. Wiley, NY, 1962; pp. 141-146.
• I. G. Macdonald, Some conjectures for root systems, SIAM J. Math. Anal., 13 (1982), 988-1007.

Links

• Freeman J. Dyson, Missed opportunities, Bull. Amer. Math. Soc. 78 (1972), 635-652.
• Wikipedia, Dedekind eta function

Crossrefs

Cf. A003038.

Extensions

Definition clarified by Jonathan Sondow, Mar 24 2013