residue theorem

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residue theorem

[′rez·ə‚dü ‚thir·əm]
(mathematics)
The value of the integral of a complex function, taken along a simple closed curve enclosing at most a finite number of isolated singularities, is given by 2π i times the sum of the residues of the function at each of the singularities.
References in periodicals archive ?
In this piece of treatised work, modulo residue theory was employed to find tests of divisibilty for even numbers less than 60 and elaborated the use of modular arithmetic from number theory in finding different tests of divisibility.
The following discussion employs modulo residue theory to find tests of divisibilty for even numbers less than 60 and elaborates the use of modular arithmetic from number theory in finding these tests.
Their topics include complex numbers, analytic and harmonic functions, complex integration, residue theory, conformal mapping, and Fourier series and the Laplace transform.