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Results tagged with cv.complex-variables
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user 152442
Complex analysis, holomorphic functions, automorphic group actions and forms, pseudoconvexity, complex geometry, analytic spaces, analytic sheaves.
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A line integral involving $\zeta(s)$
Let $x>1$ and $\zeta$ denote the Riemann zeta function. Is the equality
$$\int_{\sigma - i \infty}^{\sigma + i \infty} \frac{\zeta(s)x^{s}}{s(s+1)(s+2)\cdots (s+k)} \mathrm{d}s = 2\pi i$$ possible fo …
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