The Bases of M4(Γ0(71)), M6(Γ0(71)) and the Number of Representation of Integers
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-34, 34 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-10
Country of Publication
Egypt
No. of Pages
34
Main Subjects
Abstract EN
Following a fundamental theorem of Hecke, some bases of S4(Γ0(71)) and S6(Γ0(71)) are determined, and explicit formulas are obtained for the number of representations of positive integers by all possible direct sums (111 different combinations) of seven quadratic forms from the class group of equivalence classes of quadratic forms with discriminant −71 whose representatives are x12+x1x2+18x22, 2x12±x1x2+9x22, 3x12±x1x2+6x22, and 4x12±3x1x2+5x22.
American Psychological Association (APA)
Kendirli, Barış. 2013. The Bases of M4(Γ0(71)), M6(Γ0(71)) and the Number of Representation of Integers. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-34.
https://search.emarefa.net/detail/BIM-1010388
Modern Language Association (MLA)
Kendirli, Barış. The Bases of M4(Γ0(71)), M6(Γ0(71)) and the Number of Representation of Integers. Mathematical Problems in Engineering No. 2013 (2013), pp.1-34.
https://search.emarefa.net/detail/BIM-1010388
American Medical Association (AMA)
Kendirli, Barış. The Bases of M4(Γ0(71)), M6(Γ0(71)) and the Number of Representation of Integers. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-34.
https://search.emarefa.net/detail/BIM-1010388
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1010388