id:A159584 - OEIS Search Results

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eta(2z)^3*eta(6z)^3/theta(3z)

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1, 0, -3, -2, 0, 6, 6, 0, -3, -12, 0, 6, 0, 0, -6, 4, 0, 0, 6, 0, 0, 12, 0, -12, 1, 0, 9, -12, 0, -12, -30, 0, 12, 24, 0, 6, 0, 0, 24, 24, 0, -12, -18, 0, 0, -24, 0, -12, -23, 0, 6, 0, 0, -18, 48, 0, -12, 36, 0, 12, 0, 0, -18 (list; graph; listen)

	OFFSET	`1,3`
	COMMENT	`Expansion of eta(q^2)^3eta(q^3)^2eta(q^12)^2/eta(q^6)^2 in powers of q.` `Unique cusp form of weight 5/2, level 12 and trivial character.`
	REFERENCES	`G. Shimura, On modular forms of half integral weight, Annals of Math. 97 (1973) 440-481.`
	LINKS	`Magma Calculator`
	EXAMPLE	`q - 3q^3 - 2q^4 + 6q^6 + 6q^7 - 3q^9 - 12q^10 + ...`
	PROGRAM	`(MAGMA) Basis(CuspidalSubspace(HalfIntegralWeightForms(12, 5/2)), 64)`
	CROSSREFS	`Cf. A029769` `Sequence in context: A114376 A058096 A049780 this_sequence A080779 A010604 A067585` `Adjacent sequences: A159581 A159582 A159583 this_sequence A159585 A159586 A159587`
	KEYWORD	`sign`
	AUTHOR	`S. R. Finch (Steven.Finch(AT)inria.fr), Apr 16 2009`

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Last modified March 19 13:18 EDT 2010. Contains 173632 sequences.

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