2022arXiv (Cornell University)Open access

Congruence relations satisfied by quaternionic modular forms

Shōyū Nagaoka

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Abstract

The theory of quaternionic modular forms has been studied for decades as an example of the modular forms of many variables. The purpose of this study is to provide some congruence relations satisfied by such quaternionic modular forms.

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The theory of quaternionic modular forms has been studied for decades as an example of the modular forms of many variables. The purpose of this study is to provide some congruence relations satisfied by such quaternionic modular forms.

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Available abstract

The theory of quaternionic modular forms has been studied for decades as an example of the modular forms of many variables. The purpose of this study is to provide some congruence relations satisfied by such quaternionic modular forms.

Key concepts: Congruence (geometry), Modular design, Modular form, Quaternion, Mathematics, Quaternionic representation, Algebra over a field, Pure mathematics

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