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Showing 1 to 5 of 5 for “"Distribution of zeros"”.
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Root distribution of polynomials and distance sums on the unit circle
Our first topic is the study of self-inversive polynomials. We establish sufficient conditions for self-inversive polynomials to have all zeros on the unit circle. We examine how such polynomials are used to generate further such polynomials. We also analyze the distribution of zeros of certain …
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Distribution of sequences related to L-functions
This thesis consists of three projects. The first project focuses on the distribution of zeros of linear combinations of derivatives of $L$-functions. We consider a collection of such combinations and prove asymptotic formulas for the supremum of the real parts of their zeros. Moreover, an …
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Lercho ir Selbergo dzeta funkcijų reikšmių pasiskirstymai /
The doctoral dissertation contains the material of scientific investigations done in 2008-2012 in the Faculty of Mathematics and Informatics at Vilnius University. The dissertation includes new theorems for the value distribution of Lerch and Selberg zeta-functions and computer calculations …
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Ramanujan's identities, Voronoi summation formula, and zeros of partial sums of zeta and L-functions
… in DSpace on 2015-09-29T20:38:57Z (GMT). No. of bitstreams: 2 ROY-DISSERTATION-2015.pdf: 821854 bytes, checksum: 7abf6b7f9b1c512d8963ac66590c92b7 (MD5) LICENSE.txt: 4208 bytes, checksum: 502c6a39161a3e8620cd8507bf46885c (MD5) Previous issue date: 2015-08-03