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Complex analysis, holomorphic functions, automorphic group actions and forms, pseudoconvexity, complex geometry, analytic spaces, analytic sheaves.
4
votes
0
answers
73
views
Saddle point approximation for multiple contour integrals
General Question: Is there a reference where the saddle point approximation is applied to multiple contour integrals?
In particular, say we have the integral
$$ I_N = \frac{1}{(2\pi i)^N} \oint \left[ …
7
votes
1
answer
250
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Reference for permanent integral identity
$\DeclareMathOperator\perm{perm}\DeclareMathOperator\diag{diag}$Using MacMahon's master theorem, the properties of complex gaussian integrals, and Cauchy's integral theorem one can show that the perma …
3
votes
Reference for permanent integral identity
In case anyone from the future comes to this post:
I wasn't able to find relevant literature that answered my question so I wrote a preprint on it (https://arxiv.org/abs/2106.11861). It turns out that …