Simple calculation of the residues of the adelic zeta function associated with the space of binary cubic forms
type: Item
instance of: scholarly article
title: Simple calculation of the residues of the adelic zeta function associated with the space of binary cubic forms
zbMATH Open document ID: 0822.11031
author: Takeyoshi Kogiso
published in: Journal of Number Theory
publication date: 1995-06-11T00:00:00Z
review text: Making use of the technique of partial Fourier transform developed by \textit{F. Sato} [Tôhoku Math. J., II. Ser. 34, 437-483 (1982; Zbl 0497.14007)], the author calculates the residues of the adelic zeta- function associated to the vector space of binary cubic forms. The author's calculations agree with the calculations in: \textit{D. J. Wright} [Math. Ann. 270, 503-534 (1985; Zbl 0545.10014)], where this zeta- function has been defined for the first time.
Mathematics Subject Classification ID: 11E76
Mathematics Subject Classification ID: 11M41
Mathematics Subject Classification ID: 11R56
zbMATH DE Number: 751313
zbMATH Keywords: partial Fourier transform
zbMATH Keywords: zeta-function
zbMATH Keywords: binary cubic forms
reviewed by: B. Z. Moroz
MaRDI profile type: Publication
full work available at URL: jnth.1995.1045
OpenAlex ID: W2090206825
DOI: 10.1006/JNTH.1995.1045
description: scientific article; zbMATH DE number 751313