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A generalization of Siegel’s method to Jacobi’s \(\vartheta _1\) function

  • Maher Mamah,
  • Ali Saraeb

摘要

We present a new proof of the transformation law of \(\vartheta _1\) ϑ 1 under the action of the generator of the full modular group \(\Gamma \) Γ using Siegel’s method.