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>>> from mpmath import *
>>> mp.dps = 100
>>> zeta(2, -2)
Traceback (most recent call last):
File "<stdin>", line 1, in <module>
File "/home/palaiologos/.local/lib/python3.10/site-packages/mpmath/functions/zeta.py", line 580, in zeta
return +ctx._hurwitz(s, a, d, **kwargs)
File "/home/palaiologos/.local/lib/python3.10/site-packages/mpmath/functions/zeta.py", line 604, in _hurwitz
T1, T2 = _hurwitz_em(ctx, s, a, d, prec+10, verbose)
File "/home/palaiologos/.local/lib/python3.10/site-packages/mpmath/functions/zeta.py", line 675, in _hurwitz_em
l = ctx._zetasum(s, M1+a, M2-M1-1, [d])[0][0]
File "/home/palaiologos/.local/lib/python3.10/site-packages/mpmath/functions/zeta.py", line 749, in _zetasum
return [ctx.fsum((a+k)**negs for k in xrange(n+1))], []
File "/home/palaiologos/.local/lib/python3.10/site-packages/mpmath/ctx_mp_python.py", line 849, in fsum
for term in terms:
File "/home/palaiologos/.local/lib/python3.10/site-packages/mpmath/functions/zeta.py", line 749, in <genexpr>
return [ctx.fsum((a+k)**negs for k in xrange(n+1))], []
File "<string>", line 9, in __pow__
File "/home/palaiologos/.local/lib/python3.10/site-packages/mpmath/libmp/libelefun.py", line 328, in mpf_pow
return mpf_pow_int(s, (-1)**tsign * (tman<<texp), prec, rnd)
File "/home/palaiologos/.local/lib/python3.10/site-packages/mpmath/libmp/libmpf.py", line 1073, in mpf_pow_int
return mpf_div(fone, inverse, prec, rnd)
File "/home/palaiologos/.local/lib/python3.10/site-packages/mpmath/libmp/libmpf.py", line 960, in mpf_div
raise ZeroDivisionError
ZeroDivisionError
However, WolframAlpha claims that it is simply complex infinity:
However, WolframAlpha claims that it is simply complex infinity:
https://www.wolframalpha.com/input?i=hurwitz%282%2C-2%29
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