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Periods of Hilbert modular forms, Kronecker series and cohomology
Advances in Mathematics ( IF 1.7 ) Pub Date : 2021-01-26 , DOI: 10.1016/j.aim.2021.107617 YoungJu Choie
中文翻译:
希尔伯特模块化形式,克罗内克级数和同调的周期
更新日期:2021-01-28
Advances in Mathematics ( IF 1.7 ) Pub Date : 2021-01-26 , DOI: 10.1016/j.aim.2021.107617 YoungJu Choie
Generalizing a result of [24], [8] about elliptic modular forms, we give a closed formula for the sum of all Hilbert Hecke eigenforms over a totally real number field with strict class number 1, multiplied by their period polynomials, as a single product of the Kronecker series.
中文翻译:
希尔伯特模块化形式,克罗内克级数和同调的周期
概括关于椭圆模形式的[24],[8]的结果,我们给出了一个严格类数为1的全实数域上所有希尔伯特·海克本征形之和的封闭式,并乘以它们的周期多项式Kronecker系列的产品。