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A159632
Dimension of space of cusp forms of weight 3/2, level 4*n and trivial character.
1
0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 3, 1, 3, 2, 4, 2, 5, 4, 5, 2, 2, 5, 5, 4, 6, 7, 7, 3, 9, 7, 9, 4, 8, 8, 11, 6, 9, 11, 10, 8, 10, 10, 11, 7, 6, 8, 15, 10, 12, 11, 15, 10, 17, 13, 14, 14, 14, 14, 18, 8, 17, 19, 16, 14, 21, 19, 17, 12, 17, 17, 20, 16, 21, 23, 19, 15, 15, 19, 20, 22, 23
OFFSET
1,11
COMMENTS
Contribution from Steven Finch, Apr 22 2009: (Start)
Denote dim{M_k(Gamma_0(N))} by m(k,N) and dim{S_k(Gamma_0(N))} by s(k,N).
We have
m(3/2,N)-s(3/2,N)+m(1/2,N)-s(1/2,N) = m(5/2,N)-s(5/2,N)
hence
s(3/2,N)+s(1/2,N) = m(1/2,N)+m(3/2,N)-(m(5/2,N)-s(5/2,N))
= A159631(N/4)+A159630(N/4)-A159633(N/4)
where N is any positive multiple of 4. (End)
LINKS
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.
PROG
(Magma) [[4*n, Dimension(CuspidalSubspace(HalfIntegralWeightForms(4*n, 3/2)))] : n in [1..90]]
CROSSREFS
Cf. A159630, A159631, A159633, A159635, A159636 [From Steven Finch, Apr 22 2009]
Sequence in context: A103615 A308167 A293665 * A164733 A288311 A244366
KEYWORD
nonn
AUTHOR
Steven Finch, Apr 17 2009
STATUS
approved