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Shintani and Shimura lifts of cusp forms on certain arithmetic groups and their applications

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Publication:521582
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DOI10.1515/math-2017-0020zbMath1422.11084OpenAlexW2598296958MaRDI QIDQ521582

Chang Heon Kim, So Young Choi

Publication date: 11 April 2017

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2017-0020


zbMATH Keywords

modular formsShimura liftsShintani lifts


Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Holomorphic modular forms of integral weight (11F11)




Cites Work

  • Linear relations among half-integral weight Poincaré series
  • Rational period functions and cycle integrals
  • Cycle integrals of the \(j\)-function and mock modular forms
  • Fourier coefficients and modular forms of half-integral weight
  • Heegner points and derivatives of \(L\)-series. II
  • Rational period functions and cycle integrals in higher level cases
  • Newforms of half-integral weight.
  • On Shimura, Shintani and Eichler-Zagier correspondences




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