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Zeros of linear recurrence sequences
Publicationes Mathematicae Debrecen, 2000A sequence \(U=\{u_n\}_{n\in \mathbb Z}\) of complex numbers is called a linear recurrence sequence if it satisfies a relation \(u_n=c_1u_{n-1}+\dots+c_t u_{n-t}\) with \(c_i\in \mathbb C\) and \(c_t\neq 0\). There is only one such relation for which \(t\) is minimal.
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Zero-Correlation-Zone Sonar Sequences
2023 IEEE International Symposium on Information Theory (ISIT), 2023Xiaoxiang Jin +5 more
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Zero sequences for bergman spaces
Complex Variables, Theory and Application: An International Journal, 1996Let Z be a sequence of points in the unit disk. For a variety of analytic function spaces, it is shown that the properties of the function completely determine whether Z is a zero sequence for the given space. For example, if A -n= {f analytic in D f(z)(1-|z|2)n then Z is a zero sequence for A −n if and only if kZ(z)−nlog[1/(1-|z|2)] has a harmonic ...
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Ternary sequence with zero correlation
Proceedings of the IEEE, 1967A method of generating ternary sequences with zero cyclic correlation except for the spike for zero lag is described. The sequences are of length given by (3n-1)/2 where n is odd. A method of generating uncorrelated sequences derived from the ternary sequence modified by a Hadamard matrix is indicated.
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Weakly increasing zero-diminishing sequences
2009The following problem, suggested by Laguerre's Theorem (1884), remains open: Characterize all real sequences \(\{\mu_k\}_{k=0}^\infty\) which have the zero-diminishing property; that is, if \(p(x)=\sum_{k=0}^n a_k x^k\) is any real polynomial, then \(\sum_{k=0}^n \mu_k a_k x^k\) has no more real zeros than \(p(x)\). In this paper this problem is solved
Bakan, Andrew +3 more
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Predictive Zero-Sequence Current Control of Multiple Paralleled Power Converters
IEEE Transactions on Industrial Electronics, 2022Zhenbin Zhang, Yu Li
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Naught all zeros in sequence count data are the same
Computational and Structural Biotechnology Journal, 2020Justin D Silverman +2 more
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On the index of minimal zero-sum sequences over finite cyclic groups
Journal of Combinatorial Theory - Series A, 2007Pingzhi Yuan
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