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Mock heegner points and congruent numbers

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References

  1. Birch, B.J.: Diophantine analysis and modular functions. International Colloquium on Algebraic Geometry. Tata Institute Studies in Mathematics4, 35–42 (1968)

    Google Scholar 

  2. Birch, B.J.: Elliptic curves and modular functions. Symposia Mathematica, Indam Rome 1968/1969, vol. 4, pp. 27–32. London: Academic Press (1970)

    Google Scholar 

  3. Birch, B.J.: Weber's class invariants. Mathematika16, 283–294 (1969)

    Article  MathSciNet  MATH  Google Scholar 

  4. Birch, B.J., Stephens, N.M.: Computation of Heegner points. Modular forms, chap. 1. Chichester: Horwood (1984)

    Google Scholar 

  5. Dickson, L.E.: History of the theory of numbers, vol. 2, chap. 16 (1919)

  6. Heegner, K.: Diophantische analysis und modulfunktionen. Math. Z.56, 227–253 (1952)

    Article  MATH  MathSciNet  Google Scholar 

  7. Lang, S.: Elliptic functions. Reading, Mass.: Addison-Wesley (1973)

    MATH  Google Scholar 

  8. Shimura, G.: Introduction to the arithmetic theory of automorphic functions. p. 161. Princeton: Princeton University Press (1971)

    MATH  Google Scholar 

  9. Stephens, N.M.: Congruence properties of congruent numbers. Bull. Lond. Math. Soc.7, 182–184 (1975)

    Article  MATH  MathSciNet  Google Scholar 

  10. Tunnell, J.B.: A classical diophantine problem and modular forms. Invent. Math.72, 323–334 (1983)

    Article  MATH  MathSciNet  Google Scholar 

  11. Weber, H.: Lehrbuch der Algebra,vol. 3 (1908)

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  1. Department of Mathematics, Brandeis University, 02254, Waltham, MA, USA

    Paul Monsky

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  1. Paul Monsky
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Monsky, P. Mock heegner points and congruent numbers. Math Z 204, 45–67 (1990). https://doi.org/10.1007/BF02570859

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