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import math

from math import sqrt beaucoup = 1000

def psi(x):

somme = 0.0

for n in range(1, beaucoup):

somme = somme + math.exp(- float(n)**2 * math.pi * x) return somme

print("psi de Riemann de 1 a 100") for x in range(1,1000):

res1 = psi(float(x)) print('')

print("x "+str(x)+" psi(x) "+str(res1)) res1 = 2.0*res1+1.0

print("x "+str(x)+" 2psi(x)+1 "+str(res1)) res2 = 2.0*psi(1.0/float(x))+1.0

print(" 2psi(1/x)+1 "+str(res2)) res2 = res2/sqrt(x)

print(" x^(-1/2)*(2psi(1/x)+1) "+str(res2))

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