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Dimension of space of modular forms of weight 1/2, level 4*n and trivial character.

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1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 3, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 3, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 4, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 1, 1, 1, 3, 3, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 3, 1, 2, 2, 4, 1, 1, 1, 2, 1 (list; graph; listen)

	OFFSET	`1,4`
	COMMENT	`We have a(n) = A046951(n) for all n<125, but a(125)=3>2=A046951(125).` `Also, the first nonzero cusp form of weight 1/2 occurs at level 1728.`
	REFERENCES	`H. Cohen and J. Oesterle, Dimensions des espaces de formes modulaires, Modular Functions of One Variable. VI, Proc. 1976 Bonn conf., Lect. Notes in Math. 627, Springer-Verlag, 1977, pp. 69-78.`
	LINKS	`Magma Calculator.` `Scanned copy of Cohen-Oesterle.`
	PROGRAM	`(MAGMA) [[4n, Dimension(HalfIntegralWeightForms(4n, 1/2))] : n in [1..125]]`
	CROSSREFS	`Cf. A046951` `Sequence in context: A096309 A049419 A046951 this_sequence A050377 A001826 A003641` `Adjacent sequences: A159628 A159629 A159630 this_sequence A159632 A159633 A159634`
	KEYWORD	`nonn`
	AUTHOR	`S. R. Finch (Steven.Finch(AT)inria.fr), Apr 17 2009`

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Last modified November 25 14:49 EST 2009. Contains 167514 sequences.

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