THETAID FUNCTIONS

  • Acmake - the set A[c]
  • Bord - Calculates a order of a theta-function at a cusp
  • CUSPSANDWIDMAKE1 - set of inequivalent cusps for Gamma[1](N) with corresponding widths
  • DivCheck - Check certain divisor condition
  • GETAP2getalist - Convert a quotient of generalized eta-products into a (geta)-list
  • Gamma1ModFunc - Checks whether the generalized eta-quotient corresponding to the geta-list L is a modular function of Gamma[1](N)
  • Scmake - the set S[c]
  • cuspmake1 - set of inequivalent cusps for Gamma[1](N)
  • cuspsetinequiv1 - determine Gamma[1](N)-inequivalence of given set of cusps
  • cuspwid1 - cusp width in Gamma[1](N)
  • getacuspord - order of generalized eta-product at a cusp
  • getaprodcuspORDS - ORD of generalized-etaproduct at each cusp
  • jac2eprod - Convert a quotient of theta-functions to generalize eta-products
  • mintotORDS - lower bound for sum of ORDS
  • mixedjac2jac - converts a sum of quotients of jacprods to a common base
  • newxy - Compute new x,y mod N
  • numcuspequiv1 - Number of inequivalent cusps of of Gamma[1](N)
  • phiset - Relatively prime integers
  • provemodfuncid - prove theta-function identity
  • rmcofjac - Remove constant coefficient of a jacterm
  • srep -
  • sset -
  • v0 - ord(G,0)
  • vinf - ord(G,oo)

The url of this page is http://qseries.org/fgarvan/qmaple/theta-supplement/functions/index.html.
Created by F.G. Garvan (fgarvan@ufl.edu) on Wednesday, December 30, 2009.
Last update made Wed Dec 30 16:40:10 EST 2009.

MAIL fgarvan@ufl.edu