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Representation of Numbers by Quadratic Forms. Main Results of the Research Done in Georgia
Published/Copyright:
March 10, 2010
Abstract
This is a survey of the main results obtained by the mathematicians of Georgia on the representation of natural numbers by integral quadratic forms before 2000.
Key words and phrases:: Representation of numbers by quadratic forms; modular form; cusp form; Eisenstein series; singular series
Received: 2006-11-01
Published Online: 2010-03-10
Published in Print: 2006-December
© Heldermann Verlag
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- Finitely Generated Modules and Connectivity
- Triangulated Track Categories
- Principal Maps in Triangulated Categories and Maps between 2-Stage Spectra
- A Local System of Spaces and a Bigraded Model of Fibration
- On the Lacunarity of Two-Eta-Products
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- New Estimates of the Singular Series Corresponding to Positive Quaternary Quadratic Forms
- Quadratic Envelope of the Category of Class Two Nilpotent Groups
- On the Basis of the Space of Cusp Forms of the Level 12
- On the Eisenstein Series Corresponding to Quadratic Forms of Certain Type
- Completing the Operadic Butterfly
- Representation of Numbers by Quadratic Forms. Main Results of the Research Done in Georgia
- Sums of Odd Squares
- Some Properties of the Inversion Counting Function
- On Cusp Forms of Weight 9/2
- On a Double Series of Chan and Ong
- Coprimeness among Element Orders of Finite Groups
Keywords for this article
Representation of numbers by quadratic forms;
modular form;
cusp form;
Eisenstein series;
singular series
Articles in the same Issue
- Finitely Generated Modules and Connectivity
- Triangulated Track Categories
- Principal Maps in Triangulated Categories and Maps between 2-Stage Spectra
- A Local System of Spaces and a Bigraded Model of Fibration
- On the Lacunarity of Two-Eta-Products
- Sums of Squares and Sums of Triangular Numbers
- New Estimates of the Singular Series Corresponding to Positive Quaternary Quadratic Forms
- Quadratic Envelope of the Category of Class Two Nilpotent Groups
- On the Basis of the Space of Cusp Forms of the Level 12
- On the Eisenstein Series Corresponding to Quadratic Forms of Certain Type
- Completing the Operadic Butterfly
- Representation of Numbers by Quadratic Forms. Main Results of the Research Done in Georgia
- Sums of Odd Squares
- Some Properties of the Inversion Counting Function
- On Cusp Forms of Weight 9/2
- On a Double Series of Chan and Ong
- Coprimeness among Element Orders of Finite Groups