FUNCTION : Bord - Calculates a order of a theta-function at a cusp
CALLING SEQUENCE : Bord(n,r,a,c)
PARAMETERS : n,r,a,c - positive integers such that (a,c)=1,
and n does not divide r.
SYNOPSIS : Calculates ord(f[n,r],a/c) where
f[n,r] = q^( (n-2r)^2/(8n) )*(q^r,q^(n-r),q^n;q^n)oo
as defined on p.277 of Biagioli. See Lemma 3.2 of Biagioli
Assumptions: (a,c)=1 and n does not divide r.
This function is used by the proc getacuspord for
calculating the order at cusps of a generalized eta-quotient.
EXAMPLES :
> Bord(3,1,1,0);
1/24
> Bord(25,5,1,5);
1/8
> Bord(5,1,1,5);
9/40
DISCUSSION : Bord(3,1,1,0) = ord(eta(tau),oo)
SEE ALSO : getacuspord