Representations of positive integers by a direct sum of quadratic forms
type: Item
instance of: scholarly article
title: Representations of positive integers by a direct sum of quadratic forms
zbMATH Open document ID: 1066.11016
DOI: 10.1007/BF03322877
author: Ahmet Tekcan
published in: Results in Mathematics
publication date: 2005-02-11T00:00:00Z
review text: The paper uses \textit{G. Lomadze}'s results [Georgian Math. J. 4, No. 6, 523--532 (1997; Zbl 0885.11028)] and obtains the formulas for the number of representations by direct sums of some copies of forms \(F_1=x_1^2+3x_1x_2+8x_2^2\) and \(G_1=2x_1^2+3x_1x_2+4x_2^2\).
reviewed by: Guram Gogishvili
Mathematics Subject Classification ID: 11E25
Mathematics Subject Classification ID: 11E20
Mathematics Subject Classification ID: 11D85
Mathematics Subject Classification ID: 11F11
zbMATH DE Number: 2133443
zbMATH Keywords: quadratic form
zbMATH Keywords: representation of numbers
zbMATH Keywords: direct sum
zbMATH Keywords: cusp form
zbMATH Keywords: modular form
MaRDI profile type: Publication
cites work: Q4372101
cites work: On the number of representations of positive integers by quadratic forms as the basis of the space \(S_{4}(\Gamma_{0}(47),1)\)
full work available at URL: https://doi.org/10.1007/bf03322877
OpenAlex ID: W2013454934
Recommended article: Representations of positive integers by positive quadratic forms
Recommended article: Representation of integers by positive quaternary quadratic forms
Recommended article: Q3591713
Recommended article: Q4805415
Recommended article: On the number of representations of a positive integer by certain quadratic forms
Recommended article: On the representation of numbers by the direct sums of some quaternary quadratic forms
Recommended article: Q4335222
Recommended article: Representations of integers by certain positive definite binary quadratic forms
Recommended article: Representations of integral quadratic forms by sums of squares
Recommended article: ON THE REPRESENTATIONS OF INTEGERS BY CERTAIN QUADRATIC FORMS
description: scientific article; zbMATH DE number 2133443