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

[11] Self-reciprocal irreducible polynomials over finite fields
Yucas, JL
Mullen, GL
DESIGNS CODES AND CRYPTOGRAPHY, 2004, 33 (03) : 275 - 281
[12] Enumeration of self-reciprocal irreducible monic polynomials with prescribed leading coefficients over a finite field
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FINITE FIELDS AND THEIR APPLICATIONS, 2022, 83
[13] AN IMPROVED LOWER BOUND FOR THE EXPECTED NUMBER OF REAL ZEROS OF A RANDOM ALGEBRAIC POLYNOMIALS
CHRISTENSEN, MJ
SAMBANDHAM, M
STOCHASTIC ANALYSIS AND APPLICATIONS, 1984, 2 (04) : 431 - 436
[14] New Estimates and Existence Results About Irreducible Polynomials and Self-Reciprocal Irreducible Polynomials with Prescribed Coefficients Over a Finite Field
Gao Z.
La Matematica, 2023, 2 (4): : 789 - 815
[15] Construction of self-reciprocal normal polynomials over finite fields of even characteristic
Alizadeh, Mahmood
Mehrabi, Saeid
TURKISH JOURNAL OF MATHEMATICS, 2015, 39 (02) : 259 - 267

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