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Congruent numbers

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Publication:490000
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DOI10.1007/S40306-013-0045-9zbMath1375.11029OpenAlexW4210788204WikidataQ114219381 ScholiaQ114219381MaRDI QIDQ490000

John H. Coates

Publication date: 21 January 2015

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-013-0045-9


zbMATH Keywords

elliptic curvesnumber theory


Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Cubic and quartic Diophantine equations (11D25)





Cites Work

  • Mock Heegner points and congruent numbers
  • Congruent numbers and Heegner points
  • Diophantine analysis and modular forms
  • A criterion for elliptic curves with lowest 2-power in L(1) (II) This work was supported by NSFC and RFDP.
  • The Gross-Zagier Formula on Shimura Curves
  • Congruent numbers with many prime factors
  • Quadratic twists of elliptic curves
  • Congruent number problem




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