FUNCTION : ETA[cuspORDSnotoo] - Computes the order at each cusp<> oo (GAMMA_0(N)) # of the given etaproduct and return result as a list. # ==== ETA[cuspORDSnotoo]:=proc() ==== if nargs=0 then elif nargs = 3 then etaprod:=args[1]: CUSPS:=args[2]: N:=args[3]: printf("nargs=%a\n",nargs); ERROR(`nargs must be 0 or 3`); ==== CALLING SEQUENCE : cuspORDSnotoo() cuspORDSnotoo(etaprod,CUSPS,N) PARAMETERS : etaprod - eta-quotient CUSPS - list of cusps of GAMMA0(N) excluding oo ~ 1/N N - postive integer GLOBAL VARIABLES : SYNOPSIS : Computes the order at each cusp z with respect to the group G= GAMMA_0(N) of the given etaproduct f. A list [[cusp1, ORD1], [cusp2, ORD2], ...] is returned. EXAMPLES : DISCUSSION : SEE ALSO :