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<p>Scattered throughout his notebooks, Ramanujan recorded a number of theta function identities for the prime levels <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(p=5, 7, 11, 13,\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>p</mi> <mo>=</mo> <mn>5</mn> <mo>,</mo> <mn>7</mn> <mo>,</mo> <mn>11</mn> <mo>,</mo> <mn>13</mn> <mo>,</mo> </mrow> </math></EquationSource> </InlineEquation> and 17. This article extends some of Ramanujan’s results to level 37.</p>

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New Ramanujan’s type level 37 theta function identities

  • 期刊论文

  • 发表日期：

    2025年11月18日

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  • K. R. Vasuki,
  • A. Darshan,
  • P. Nagendra

摘要

Scattered throughout his notebooks, Ramanujan recorded a number of theta function identities for the prime levels \(p=5, 7, 11, 13,\) p = 5 , 7 , 11 , 13 , and 17. This article extends some of Ramanujan’s results to level 37.