OFFSET
1,2
COMMENTS
Borcherds remarks that this is also the list of numbers k such that there are modular forms on the orthogonal group O_{k,2}(R) which can be written as an "interesting infinite product".
REFERENCES
R. E. Borcherds, (1994). Sporadic groups and string theory. In First European Congress of Mathematics: Paris, July 6-10, 1992 Volume I Invited Lectures (Part 1) (pp. 411-421). Basel: Birkhäuser Basel. [This is different from the article in the link below. Do not delete this reference.]
LINKS
R. E. Borcherds, Sporadic groups and string theory (Expanded version of talk referenced above).
F. Dyson, Missed opportunities, Bull. Amer. Math. Soc. 78 (1972), 635-652.
J.-P. Serre, Sur la lacunarité des puissances de eta, Glasgow Mathematical Journal 27 (1985) 203-221. [Borcherds remarks that this reference omits the number 18, however the form eta(q)^9*eta(q^2)^9 of weight 18/2 appears to be lacunary.]
CROSSREFS
KEYWORD
nonn,fini,full
AUTHOR
N. J. A. Sloane, Feb 26 2024
STATUS
approved