An explicit structure of the graded ring of modular forms with respect to certain congruence groups

Mathematics – Number Theory

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Scientific paper

We give an explicit structure of the graded ring of modular forms with
respect to some congruence groups of genus 0 and level 2,3,4,5,6,7,8,12,16,18.
We also study the modular forms of half-integer weight for certain groups.

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