<p>Eigenvectors of the discrete Fourier transform are expressed in terms of Ramanujan theta functions. Identities between Ramanujan theta functions are consequences. Generating functions for quadratic numbers and polygonal numbers follow.</p>

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Some Ramanujan theta function identities

  • Hemant Masal,
  • Subhash Kendre,
  • Hemant Bhate

摘要

Eigenvectors of the discrete Fourier transform are expressed in terms of Ramanujan theta functions. Identities between Ramanujan theta functions are consequences. Generating functions for quadratic numbers and polygonal numbers follow.