On certain multiple series with functional equation in a totally imaginary number field. I (Q1903372)
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scientific article; zbMATH DE number 821709
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On certain multiple series with functional equation in a totally imaginary number field. I |
scientific article; zbMATH DE number 821709 |
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On certain multiple series with functional equation in a totally imaginary number field. I (English)
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1 July 1996
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The author constructs a generalization of the series \[ f(\tau)= \sum^\infty_{m= 1} \sum^\infty_{n= 1} \exp(- 2\pi mn\tau)m \] in a totally imaginary extension of the rationals of degree \(n\) and proves a functional equation for it. The case of a totally real field is treated by the author in another paper [Tokyo J. Math. 18, 49-60 (1995; see the preceding review)].
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Hecke characters
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zeta functions
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functional equation
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0.9727069
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0.9589611
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0.86846626
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0.8642754
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0.8597026
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0.8576058
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