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