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searching for Residue theorem 6 found (72 total)

Euler's criterion (1,755 words) [view diff] no match in snippet view article find links to article

In number theory, Euler's criterion is a formula for determining whether an integer is a quadratic residue modulo a prime. Precisely, Let p be an odd prime

Bott residue formula (188 words) [view diff] no match in snippet view article find links to article

In mathematics, the Bott residue formula, introduced by Bott (1967), describes a sum over the fixed points of a holomorphic vector field of a compact complex

Lagrange inversion theorem (2,833 words) [view diff] exact match in snippet view article find links to article

{({z-f(a)})^{n}}{n}}\oint _{C}{\frac {1}{(f(\omega )-f(a))^{n}}}d\omega } by residue theorem: f − 1 ( z ) = ∑ n = 0 ∞ ( z − f ( a ) ) n n Res ⁡ ( 1 ( f ( ω ) −

Mixed Hodge structure (2,982 words) [view diff] exact match in snippet view article find links to article

decomposition of a smooth projective hypersurface through Griffith's residue theorem. Porting this language to smooth non-projective varieties and singular

Spacetime triangle diagram technique (2,908 words) [view diff] exact match in snippet view article find links to article

respect to Ω {\displaystyle \Omega } to the complex domain, using the residue theorem (with the poles Ω 1 , 2 {\displaystyle \Omega _{1,2}} chosen as lim

Quadratic reciprocity (8,540 words) [view diff] exact match in snippet view article find links to article

{\displaystyle (a,b)_{v}} over all v is 1. (This formally resembles the residue theorem from complex analysis.) The proof of Hilbert reciprocity reduces to