On the representation of numbers by the direct sums of some quaternary quadratic forms
type: Item
instance of: scholarly article
zbMATH Open document ID: 0972.11023
publication date: 2001-11-22T00:00:00Z
full work available at URL: https://eudml.org/doc/48943
Mathematics Subject Classification ID: 11E25
Mathematics Subject Classification ID: 11E20
Mathematics Subject Classification ID: 11F11
Mathematics Subject Classification ID: 11E45
zbMATH DE Number: 1621371
zbMATH Keywords: modular forms
zbMATH Keywords: integral quadratic forms
zbMATH Keywords: explicit formulas
zbMATH Keywords: representation numbers
zbMATH Keywords: quaternary quadratic forms
MaRDI profile type: Publication
author: N. Kachakhidze
title: On the representation of numbers by the direct sums of some quaternary quadratic forms
published in: Georgian Mathematical Journal
review text: The author constructs explicit bases for the spaces of cusp forms \(S_{2m} (\Gamma_0(5), \chi^m)\) and\break \(S_{2m} (\Gamma_0(13), \chi^m)\) for all integers \(m\geq 2\). Then he gets certain explicit formulas for the representation numbers by direct sums of \(m\) summands of quaternary quadratic forms of discriminant 5 (resp. 13) for \(m= 2,\dots, 6\) (resp. \(2,\dots, 5)\).
reviewed by: Meinhard Peters
description: scientific article; zbMATH DE number 1621371