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On the Representation of Numbers by the Direct Sums of Some Quaternary Quadratic Forms

Published/Copyright: February 23, 2010
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Georgian Mathematical Journal
From the journal Volume 8 Issue 1

Abstract

The systems of bases are constructed for the spaces of cusp forms S2m(Γ0(5), χm) and S2m(Γ0(13), χm) for an arbitrary integer m ≥ 2. Formulas are obtained for the number of representations of a positive integers by the direct sums of some quaternary quadratic forms.

Key words and phrases:: Modular form; representation of integers by quadratic forms; space of cusp forms
Received: 2000-11-20
Published Online: 2010-02-23
Published in Print: 2001-March

© Heldermann Verlag

Articles in the same Issue

  1. Polymersions of a Disk with Critical Points on the Boundary
  2. A Fixed Point Theorem of Leggett–Williams Type with Applications to Single- and Multivalued Equations
  3. Non-Noether Symmetries in Singular Dynamical Systems
  4. Weight Inequalities for Singular Integrals Defined on Spaces of Homogeneous and Nonhomogeneous Type
  5. Perturbation of a Fredholm Complex by Inessential Operators
  6. Weighted Exponential Inequalities
  7. On the Representation of Numbers by the Direct Sums of Some Quaternary Quadratic Forms
  8. On Local Invariants of Totally Real Surfaces
  9. On the Number of Representations of Positive Integers by the Quadratic Form
  10. Derivative Uniform Sampling via Weierstrass σ(z). Truncation Error Analysis in
  11. On Periodic Solutions of Autonomous Difference Equations
  12. Inequalities of Calderon–Zygmund Type for Trigonometric Polynomials
  13. Hilbert Spaces Formed by Strongly Harmonizable Stable Processes
  14. Optimal Mean-Variance Robust Hedging under Asset Price Model Misspecification
https://doi.org/10.1515/GMJ.2001.87
Keywords for this article
Modular form; representation of integers by quadratic forms; space of cusp forms

Articles in the same Issue

  1. Polymersions of a Disk with Critical Points on the Boundary
  2. A Fixed Point Theorem of Leggett–Williams Type with Applications to Single- and Multivalued Equations
  3. Non-Noether Symmetries in Singular Dynamical Systems
  4. Weight Inequalities for Singular Integrals Defined on Spaces of Homogeneous and Nonhomogeneous Type
  5. Perturbation of a Fredholm Complex by Inessential Operators
  6. Weighted Exponential Inequalities
  7. On the Representation of Numbers by the Direct Sums of Some Quaternary Quadratic Forms
  8. On Local Invariants of Totally Real Surfaces
  9. On the Number of Representations of Positive Integers by the Quadratic Form
  10. Derivative Uniform Sampling via Weierstrass σ(z). Truncation Error Analysis in
  11. On Periodic Solutions of Autonomous Difference Equations
  12. Inequalities of Calderon–Zygmund Type for Trigonometric Polynomials
  13. Hilbert Spaces Formed by Strongly Harmonizable Stable Processes
  14. Optimal Mean-Variance Robust Hedging under Asset Price Model Misspecification
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