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An algebraic characterization of the Kronecker function
Research in the Mathematical Sciences ( IF 1.2 ) Pub Date : 2019-06-17 , DOI: 10.1007/s40687-019-0186-0
Nils Matthes

We characterize Zagier’s generating series of extended period polynomials of normalized Hecke eigenforms for \({{\,\mathrm{PSL}\,}}_2(\mathbb {Z})\) in terms of the period relations and existence of a suitable factorization. For this, we prove a characterization of the Kronecker function as the “fundamental solution” of the Fay identity.

中文翻译:

Kronecker函数的代数表征

我们根据周期关系和适当的存在性来表征Zagier为\({{\,\ mathrm {PSL} \,}} _ 2(\ mathbb {Z})\)归一化的Hecke特征形生成的一系列扩展周期多项式因式分解。为此,我们证明了Kronecker函数是Fay身份的“基本解决方案”的特征。
更新日期:2019-06-17
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