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A159631
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Dimension of space of modular forms of weight 1/2, level 4*n and trivial character.
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4
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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, 1, 1, 4, 1, 1, 1, 3, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 3
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OFFSET
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1,4
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COMMENTS
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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.
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LINKS
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Antti Karttunen, Table of n, a(n) for n = 1..1200
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.
MAGMA Calculator.
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PROG
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(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 */
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CROSSREFS
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Cf. A046951.
Sequence in context: A049419 A299090 A046951 * A335428 A050377 A344417
Adjacent sequences: A159628 A159629 A159630 * A159632 A159633 A159634
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KEYWORD
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nonn
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AUTHOR
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Steven Finch, Apr 17 2009
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EXTENSIONS
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Data section filled up to 125 terms by Antti Karttunen, Jul 23 2017
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STATUS
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approved
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