Generating functions of even Dedekind symbols with polynomial reciprocity laws
Generating functions of even Dedekind symbols with polynomial reciprocity laws
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具有多项式互易律的偶数 Dedekind 符号的生成函数
DOI：
10.1007/s12188-014-0096-4
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
Shinji Fukuhara
中科院分区：
文献类型：
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作者：
Haruko Aida Miyazawa;Kodai Wada and Akira Yasuhara;Shinji Fukuhara
我们将得到具有多项式互易规律的偶数Dedekin符号的母函数。母函数用Kronecker二重级数表示。我们还建立了这些母函数所满足的互易律。作为应用，我们证明了涉及一阶和二阶导数的新的Eisenstein级数恒等式。
We will obtain generating functions of even Dedekind symbols with polynomial reciprocity laws. The generating functions are expressed in terms of Kronecker’s double series. We also establish reciprocity laws satisfied by these generating functions. As an application, we demonstrate new Eisenstein series identities which involve the derivatives of the first and second order.