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The distribution of the zeros of random trigonometric polynomials

โœ Scribed by Granville, Andrew (author);Wigman, Igor (author)

Book ID
118212142
Publisher
John Hopkins University Press
Year
2011
Tongue
English
Weight
628 KB
Volume
133
Category
Article
ISSN
0002-9327

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๐Ÿ“œ SIMILAR VOLUMES

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An exact and practical method for determining the number, location, and multiplicity of all real zeros of the trigonometric polynomials is described. All computations can be performed without loss of accuracy. lThe method is based on zero isolation techniques for algebraic polynomials. An efficient

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In this paper, we obtain an exact formula for the average density of the distribution of complex zeros of a random trigonometric polynomial , where the coefficients ฮท j = a j + ฮนb j , and a j n j=1 and b j n j=1 are sequences of independent normally distributed random variables with mean 0 and vari