Exemplo n.º 1
0
 def q_expansion(self,n=20):
     r"""
     Give the q-expansion of the quotient.
     """
     var('q')
     et = qexp_eta(ZZ[['q']],n)
     etA= et.subs(q=q**self._arg_num).power_series(ZZ[['q']])
     etB= et.subs(q=q**self._arg_den).power_series(ZZ[['q']])
     res = etA**(self._exp_num)/etB**(self._exp_den)
     return res
Exemplo n.º 2
0
 def q_expansion(self,n=20):
     r"""
     Give the q-expansion of the quotient.
     """
     var('q')
     et = qexp_eta(ZZ[['q']],n)
     etA= et.subs(q=q**self._arg_num).power_series(ZZ[['q']])
     etB= et.subs(q=q**self._arg_den).power_series(ZZ[['q']])
     res = etA**(self._exp_num)/etB**(self._exp_den)
     return res
Exemplo n.º 3
0
 def q_expansion(self,n=20):
     r"""
     Give the q-expansion of the quotient.
     """
     eta = qexp_eta(ZZ[['q']],n)
     R = eta.parent()
     q = R.gens()[0]
     res = R(1)
     prefak = 0
     for i in range(len(self._arguments)):        
         res = res*eta.subs({q:q**self._arguments[i]})**self._exponents[i]
         prefak = prefak+self._arguments[i]*self._exponents[i]
     if prefak % 24 == 0:
         return res*q**(prefak/24)
     else:
         return res,prefak/24