Improved lower bound for the number of unimodular zeros of self-reciprocal polynomials with coefficients in a finite set

被引：4

作者：

Erdelyi, Tamas ^{[1
]}

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

ACTA ARITHMETICA | 2020年 / 192卷 / 02期

关键词：

self-reciprocal polynomials; trigonometric polynomials; restricted coefficients; number of zeros on the unit circle; number of real zeros in a period; Conrey's question; COSINE POLYNOMIALS; POWER-SERIES; ROOTS; RECONSTRUCTION; MULTIPLICITY; INEQUALITIES; THEOREM;

D O I：

10.4064/aa190204-27-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：189 / 210

页数：22

共 15 条

[1] The number of unimodular zeros of self-reciprocal polynomials with coefficients in a finite set
Erdelyi, Tamas
ACTA ARITHMETICA, 2016, 176 (02) : 177 - 200
[2] On the zeros of certain self-reciprocal polynomials
Kim, Seon-Hong
Park, Chang Woo
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 339 (01) : 240 - 247
[3] SELF-RECIPROCAL POLYNOMIALS WITH RELATED MAXIMAL ZEROS
Bae, Jaegug
Kim, Seon-Hong
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (03) : 983 - 991
[4] The zeros of certain family of self-reciprocal polynomials
Kim, Seon-Hong
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2007, 44 (03) : 461 - 473
[5] Expected Number of Real Zeros of Gaussian Self-Reciprocal Random Algebraic Polynomials
Soudabeh Shemehsavar
Iranian Journal of Science and Technology, Transactions A: Science, 2018, 42 : 105 - 113
[6] Expected Number of Real Zeros of Gaussian Self-Reciprocal Random Algebraic Polynomials
Shemehsavar, Soudabeh
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2018, 42 (A1): : 105 - 113
[7] Self-reciprocal irreducible polynomials with prescribed coefficients
Garefalakis, Theodoulos
FINITE FIELDS AND THEIR APPLICATIONS, 2011, 17 (02) : 183 - 193
[8] ON THE ZEROS OF SELF-RECIPROCAL POLYNOMIALS SATISFYING CERTAIN COEFFICIENT CONDITIONS
Kim, Seon-Hong
Lee, Jung Hee
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 47 (06) : 1189 - 1194
[9] On the parity of the number of irreducible factors of self-reciprocal polynomials over finite fields
Ahmadi, Omran
Vega, Gerardo
FINITE FIELDS AND THEIR APPLICATIONS, 2008, 14 (01) : 124 - 131
[10] Self-Reciprocal Irreducible Polynomials Over Finite Fields
Joseph L. Yucas
Gary L. Mullen
Designs, Codes and Cryptography, 2004, 33 : 275 - 281

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