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  will be helpful in the theory of representation of numbers by the quadratic forms in 10 and 12 variables.
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G. Lomadze, On some entire modular forms of weights 5 and 6 for the congruence group Γ0(4N).Georgian Math. J. 1(1994), No. 1, 53–76.
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Lomadze, G. Construction of entire modular forms of weights 5 and 6 for the congruence group Γ0(4N). Georgian Mathematical Journal 2, 189–199 (1995). https://doi.org/10.1007/BF02257478
1991 Mathematics Subject Classification
Key words and phrases
- Quadratic form
- entre modular form
- congruence subgroup
- generalized Gauss' sum