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The integral representation of automorphic Green's functions associated with Hirzebruch-Zagier divisors

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Publication:1999242
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DOI10.1007/S40879-019-00330-XzbMath1470.11067OpenAlexW2942839268MaRDI QIDQ1999242

Nina Sakharova

Publication date: 26 June 2019

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-019-00330-x


zbMATH Keywords

Poincaré seriesHilbert modular formHilbert modular surface


Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Theta series; Weil representation; theta correspondences (11F27) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)





Cites Work

  • The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
  • Heegner points and derivatives of \(L\)-series
  • Modular forms associated to real quadratic fields
  • Borcherds products and Chern classes of Hirzebruch-Zagier divisors
  • Modular Cauchy kernel corresponding to the Hecke curve
  • Unnamed Item
  • Unnamed Item




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