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The theory of modular forms yields arithmetic applications. First of all we show that the vector space of modular forms of fixed weight k has finite dimension. Hence we find examples where a modular form has two different representations (e.g. (4.8)).

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Modular forms

  • 章节

  • 发表日期：

    2025年

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  • Max Koecher,
  • Aloys Krieg

摘要

The theory of modular forms yields arithmetic applications. First of all we show that the vector space of modular forms of fixed weight k has finite dimension. Hence we find examples where a modular form has two different representations (e.g. (4.8)).