A159630 Dimension of space of modular forms for Gamma_0(4*n) of weight 3/2 and trivial character.

1, 2, 3, 4, 3, 5, 4, 6, 6, 6, 5, 10, 5, 7, 10, 10, 6, 12, 7, 12, 12, 9, 8, 16, 12, 10, 15, 14, 9, 18, 10, 16, 16, 12, 16, 24, 11, 13, 18, 20, 12, 22, 13, 18, 24, 15, 14, 28, 20, 24, 22, 20, 15, 27, 22, 24, 24, 18, 17, 36, 17, 19, 32, 28, 24, 30, 19, 24, 28, 30, 20, 40, 20, 22, 42

Offset: 1

Author

Steven Finch, Apr 17 2009

Keywords

• nonn

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.

Crossrefs

Cf. A159634, A159636.

Programs

Magma

[Dimension(HalfIntegralWeightForms(4*n,3/2)) : n in [1..80]];

Magma

a := func< n | Dimension( ModularForms( Gamma0(4*n), 3/2))>; /* Michael Somos, Jul 27 2014 */