29 lines
657 B
Python
29 lines
657 B
Python
"""Compute the Taylor series for zeta(x) - 1 around x = 0."""
|
|
from __future__ import division, print_function, absolute_import
|
|
|
|
try:
|
|
import mpmath
|
|
except ImportError:
|
|
pass
|
|
|
|
|
|
def zetac_series(N):
|
|
coeffs = []
|
|
with mpmath.workdps(100):
|
|
coeffs.append(-1.5)
|
|
for n in range(1, N):
|
|
coeff = mpmath.diff(mpmath.zeta, 0, n)/mpmath.factorial(n)
|
|
coeffs.append(coeff)
|
|
return coeffs
|
|
|
|
|
|
def main():
|
|
print(__doc__)
|
|
coeffs = zetac_series(10)
|
|
coeffs = [mpmath.nstr(x, 20, min_fixed=0, max_fixed=0)
|
|
for x in coeffs]
|
|
print("\n".join(coeffs[::-1]))
|
|
|
|
|
|
if __name__ == '__main__':
|
|
main()
|