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Construction of Entire Modular Forms of Weights 5 and 6 for the Congruence Group Γ0(4N)
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G. Lomadze
Published/Copyright:
February 23, 2010
Abstract
Two classes of entire modular forms of weight 5 and two of weight 6 are constructed for the congruence subgroup Γ0(4N). The constructed modular forms as well as the modular forms from [Lomadze, Georgian Math. J. 1: 53-76, 1994] will be helpful in the theory of representation of numbers by the quadratic forms in 10 and 12 variables.
Key words and phrases.: Quadratic form; entire modular form; congruence subgroup; theta-series; generalized Gauss' sum
Received: 1993-06-28
Published Online: 2010-02-23
Published in Print: 1995-April
© 1995 Plenum Publishing Corporation
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- Basic Boundary Value Problems of Thermoelasticity for Anisotropic Bodies with Cuts. I
- Fractional Integrodifferentiation in Hölder Classes of Arbitrary Order
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- On Some Boundary Value Problems with Integral Conditions for Functional Differential Equations
- Construction of Entire Modular Forms of Weights 5 and 6 for the Congruence Group Γ0(4N)
- Two-Dimension-Like Functions Defined on the Class of all Tychonoff Spaces
- The Cauchy–Nicoletti Problem with Poles
Keywords for this article
Quadratic form;
entire modular form;
congruence subgroup;
theta-series;
generalized Gauss' sum
Articles in the same Issue
- The Boundary-Contact Problem of Elasticity for Homogeneous Anisotropic Media with a Contact on Some Part of the Boundaries
- Basic Boundary Value Problems of Thermoelasticity for Anisotropic Bodies with Cuts. I
- Fractional Integrodifferentiation in Hölder Classes of Arbitrary Order
- Sequential Convergence in Topological Vector Spaces
- On Some Boundary Value Problems with Integral Conditions for Functional Differential Equations
- Construction of Entire Modular Forms of Weights 5 and 6 for the Congruence Group Γ0(4N)
- Two-Dimension-Like Functions Defined on the Class of all Tychonoff Spaces
- The Cauchy–Nicoletti Problem with Poles
