the integral of modular forms
 
  
 
  
 
 
 
 
 
 
    
        
        asked 0 years ago  
 
 Lee gravatar image  
 
 
 
 
    
        
        updated 0 years ago  
 
 FrédéricC gravatar image  
 
 
 
 
 
I compute the integral of modular forms using
the PARI command in SageMath as follows.
 
def phi(s, t):
    mf = pari.mfinit([27, 2], 0)
    f = pari.mfeigenbasis(mf)[0]
    symb = pari.mfsymbol(mf, f)
    F = pari.mfsymboleval(symb, [s,t]) * 2 * pi * I
    return F
 
but the results show that phi(oo,0)+phi(0,a)=-phi(oo,a)
where a is the cubic root of unity in the upper half plane.
 
Should it be phi(oo,0)+phi(0,a)=phi(oo,a)? What is the reason?
 
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This is more suitable for pari-users maillist: https://pari.math.u-bordeaux.fr/lists...
Max Alekseyev gravatar imageMax Alekseyev (
    
        0 years ago
    )
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