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A159631 Dimension of space of modular forms of weight 1/2, level 4*n and trivial character. 3
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; refs; listen; history; internal format)
OFFSET

1,4

COMMENTS

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.

LINKS

Magma Calculator.

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.

Scanned copy of Cohen-Oesterle.

PROG

(MAGMA) [[4*n, Dimension(HalfIntegralWeightForms(4*n, 1/2))] : n in [1..125]]

CROSSREFS

Cf. A046951

Sequence in context: A096309 A049419 A046951 * A050377 A001826 A003641

Adjacent sequences:  A159628 A159629 A159630 * A159632 A159633 A159634

KEYWORD

nonn

AUTHOR

S. R. Finch (Steven.Finch(AT)inria.fr), Apr 17 2009

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Last modified February 13 15:24 EST 2012. Contains 205519 sequences.