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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; text; 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

Table of n, a(n) for n=1..105.

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]]

(MAGMA) function a(n) return Dimension( ModularForms( Gamma0(4*n), 1/2)); end function; /* Michael Somos, Jun 13 2014 */

CROSSREFS

Cf. A046951.

Sequence in context: A096309 A185102 A049419 * A046951 A050377 A255231

Adjacent sequences:  A159628 A159629 A159630 * A159632 A159633 A159634

KEYWORD

nonn

AUTHOR

Steven Finch, Apr 17 2009

STATUS

approved

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Last modified June 25 06:13 EDT 2017. Contains 288709 sequences.