Indecomposability of linear combinations of Bernoulli polynomials

被引：1

作者：

Pinter, Akos ^{[1
,2
]}

Rakaczki, Csaba ^{[3
]}

机构：

[1] Hungarian Acad Sci, Inst Math, MTA DE Res Grp, Equat Funct & Curves, Budapest, Hungary

[2] Univ Debrecen, POB 400, H-4002 Debrecen, Hungary

[3] Univ Miskolc, Inst Math, Miskolc Campus, H-3515 Miskolc, Hungary

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2022年 / 100卷 / 3-4期

关键词：

Bernoulli polynomials; polynomial decomposability; DIOPHANTINE EQUATIONS;

D O I：

10.5486/PMD.2022.9261

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this manuscript, the authors prove the following: for an odd integer n >= 3, and integers a(n), a(n-2), a(n-4), ..., a(3), a(l) such that 4 inverted iota a(n), the polynomial a(n) B-n(x) + a(n-2 )B(n-2)(x) + ... + a(3) B-3(x) + a(1) B-1(x), where B-n (x) stands for the n-th Bernoulli polynomial, is indecomposable over the field of complex numbers.

引用

页码：487 / 494

页数：8

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