Modular forms and q-analogues of modified double zeta values

IF 0.4 4区数学 Q4 MATHEMATICS

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2020-11-11 DOI:10.1007/s12188-020-00227-7

Henrik Bachmann

引用次数: 3

Abstract

We present explicit formulas for Hecke eigenforms as linear combinations of q-analogues of modified double zeta values. As an application, we obtain period polynomial relations and sum formulas for these modified double zeta values. These relations have similar shapes as the period polynomial relations of Gangl, Kaneko, and Zagier and the usual sum formulas for classical double zeta values.

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修正双zeta值的模形式和q-类似物

我们给出了作为修正双zeta值的q-类似物的线性组合的Hecke特征型的显式公式。作为应用，我们得到了这些修正后的双zeta值的周期多项式关系和求和公式。这些关系与Gangl, Kaneko和Zagier的周期多项式关系以及经典双zeta值的通常和公式具有相似的形状。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The first issue of the "Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg" was published in the year 1921. This international mathematical journal has since then provided a forum for significant research contributions. The journal covers all central areas of pure mathematics, such as algebra, complex analysis and geometry, differential geometry and global analysis, graph theory and discrete mathematics, Lie theory, number theory, and algebraic topology.