Irreducibility of some Faber polynomials

被引：0

作者：

P. Guerzhoy

机构：

[1] University of Hawaii at Manoa,Department of Mathematics

来源：

The Ramanujan Journal | 2008年 / 16卷

关键词：

Faber polynomials; Borcherds products; 11F33; 11F03;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Apply weight 0 Hecke operators to the modular function j and express the result as a polynomial in j. These polynomials were considered long ago in analysis, and recently attracted the attention of number theorists primarily for their connection with Borcherds’ infinite products. In particular, Ken Ono conjectured that all of them are irreducible. We prove a partial result towards this conjecture by presenting infinite families of these polynomials which are proved to be irreducible.

引用

页码：53 / 57

页数：4

共 10 条

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[6]

Ono K.(undefined)undefined undefined undefined undefined-undefined

[7]

Eholzer W.(undefined)undefined undefined undefined undefined-undefined

[8]

Skoruppa N.-P.(undefined)undefined undefined undefined undefined-undefined

[9]

Faber G.(undefined)undefined undefined undefined undefined-undefined

[10]

Guerzhoy P.(undefined)undefined undefined undefined undefined-undefined

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