The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 (list; graph; refs; listen; history; text; internal format)
 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 Adjacent sequences:  A159629 A159630 A159631 * A159633 A159634 A159635 KEYWORD nonn AUTHOR Steven Finch, Apr 17 2009 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified April 18 07:11 EDT 2021. Contains 343072 sequences. (Running on oeis4.)