Mock theta function

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I am unable to find a formal definition of the order of the mock theta function. Can you explain briefly, what is the order of the mock theta function?







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    I am unable to find a formal definition of the order of the mock theta function. Can you explain briefly, what is the order of the mock theta function?







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      up vote
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      favorite









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      favorite











      I am unable to find a formal definition of the order of the mock theta function. Can you explain briefly, what is the order of the mock theta function?







      share|cite|improve this question














      I am unable to find a formal definition of the order of the mock theta function. Can you explain briefly, what is the order of the mock theta function?









      share|cite|improve this question













      share|cite|improve this question




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      edited Aug 27 at 11:01









      PreservedFruit

      1,3651927




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      asked Oct 14 '17 at 14:46









      Himanshu Bajpai

      234




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          There is a formal definition. But Ramanujan did not define it clearly. His notion of order later turned out to correspond to the conductor of the Nebentypus character of the weight  $1⁄2$ harmonic Maass forms which admit Ramanujan's mock theta functions as their holomorphic projections. See wikipedia for definitions.






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          • Everybody knows that.
            – marty cohen
            Oct 14 '17 at 16:19










          • If not, wikipedia is helping out.
            – Dietrich Burde
            Oct 14 '17 at 17:42










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          1 Answer
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          1 Answer
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          active

          oldest

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          up vote
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          There is a formal definition. But Ramanujan did not define it clearly. His notion of order later turned out to correspond to the conductor of the Nebentypus character of the weight  $1⁄2$ harmonic Maass forms which admit Ramanujan's mock theta functions as their holomorphic projections. See wikipedia for definitions.






          share|cite|improve this answer






















          • Everybody knows that.
            – marty cohen
            Oct 14 '17 at 16:19










          • If not, wikipedia is helping out.
            – Dietrich Burde
            Oct 14 '17 at 17:42














          up vote
          2
          down vote













          There is a formal definition. But Ramanujan did not define it clearly. His notion of order later turned out to correspond to the conductor of the Nebentypus character of the weight  $1⁄2$ harmonic Maass forms which admit Ramanujan's mock theta functions as their holomorphic projections. See wikipedia for definitions.






          share|cite|improve this answer






















          • Everybody knows that.
            – marty cohen
            Oct 14 '17 at 16:19










          • If not, wikipedia is helping out.
            – Dietrich Burde
            Oct 14 '17 at 17:42












          up vote
          2
          down vote










          up vote
          2
          down vote









          There is a formal definition. But Ramanujan did not define it clearly. His notion of order later turned out to correspond to the conductor of the Nebentypus character of the weight  $1⁄2$ harmonic Maass forms which admit Ramanujan's mock theta functions as their holomorphic projections. See wikipedia for definitions.






          share|cite|improve this answer














          There is a formal definition. But Ramanujan did not define it clearly. His notion of order later turned out to correspond to the conductor of the Nebentypus character of the weight  $1⁄2$ harmonic Maass forms which admit Ramanujan's mock theta functions as their holomorphic projections. See wikipedia for definitions.







          share|cite|improve this answer














          share|cite|improve this answer



          share|cite|improve this answer








          edited Oct 14 '17 at 18:38

























          answered Oct 14 '17 at 16:00









          Dietrich Burde

          75k64185




          75k64185











          • Everybody knows that.
            – marty cohen
            Oct 14 '17 at 16:19










          • If not, wikipedia is helping out.
            – Dietrich Burde
            Oct 14 '17 at 17:42
















          • Everybody knows that.
            – marty cohen
            Oct 14 '17 at 16:19










          • If not, wikipedia is helping out.
            – Dietrich Burde
            Oct 14 '17 at 17:42















          Everybody knows that.
          – marty cohen
          Oct 14 '17 at 16:19




          Everybody knows that.
          – marty cohen
          Oct 14 '17 at 16:19












          If not, wikipedia is helping out.
          – Dietrich Burde
          Oct 14 '17 at 17:42




          If not, wikipedia is helping out.
          – Dietrich Burde
          Oct 14 '17 at 17:42

















           

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