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X
2xS 1 = 2 2 + x |x − n| n S n iπ 2 ψ(1/2 + x − ixS ) − ψ(1/2) + coth πxS = ix + xS 2 2 iπ + ψ(1/2 + x + ixS ) − ψ(1/2) − coth πxS −ix + xS 2
SI (x) =
SII (x) =
1 X 2xS = |x| n2 + x2S |n|<|x|
=
2 (i(ψ(1/2 + x + ixS ) − ψ(1/2 + x − ixS )) + π coth πxS ) x
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∆T = Tc0 − T
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