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On the Number of Representations of Positive Integers by a Direct Sum of Binary Quadratic Forms with Discriminant –23
-
G. Lomadze
Published/Copyright:
February 23, 2010
Abstract
Explicit exact formulas are obtained for the number of representations of positive integers by some direct sums of quadratic forms 
and 
.
Key words and phrases.: Spherical function with respect to the quadratic form; theta-series; Eisenstein series
Received: 1995-10-05
Published Online: 2010-02-23
Published in Print: 1997-December
© 1997 Plenum Publishing Corporation
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- Nonconvex Differential Inclusions with Nonlinear Monotone Boundary Conditions
- Non-Abelian Cohomology with Coefficients in Crossed Bimodules
- On the Number of Representations of Positive Integers by a Direct Sum of Binary Quadratic Forms with Discriminant –23
- Internal Categories in a Left Exact Cosimplicial Category
- On a Singular Two-Point Boundary Value Problem for the Nonlinear mth-Order Differential Equation with Deviating Arguments
- On the Bifurcation of Flows of a Heat-Conducting Fluid Between Two Rotating Permeable Cylinders
- Bounds for the Characteristic Functions of the System of Monomials in Random Variables and of Its Trigonometric Analogue
- Boundary Properties of First-Order Partial Derivatives of the Poisson Integral for the Half-Space
Keywords for this article
Spherical function with respect to the quadratic form;
theta-series;
Eisenstein series
Articles in the same Issue
- Nonconvex Differential Inclusions with Nonlinear Monotone Boundary Conditions
- Non-Abelian Cohomology with Coefficients in Crossed Bimodules
- On the Number of Representations of Positive Integers by a Direct Sum of Binary Quadratic Forms with Discriminant –23
- Internal Categories in a Left Exact Cosimplicial Category
- On a Singular Two-Point Boundary Value Problem for the Nonlinear mth-Order Differential Equation with Deviating Arguments
- On the Bifurcation of Flows of a Heat-Conducting Fluid Between Two Rotating Permeable Cylinders
- Bounds for the Characteristic Functions of the System of Monomials in Random Variables and of Its Trigonometric Analogue
- Boundary Properties of First-Order Partial Derivatives of the Poisson Integral for the Half-Space
