Corpus ID: 14292849

MODULAR CURVES AND THE CLASS NUMBER ONE PROBLEM

@inproceedings{Booher2014MODULARCA,
  title={MODULAR CURVES AND THE CLASS NUMBER ONE PROBLEM},
  author={J. Booher},
  year={2014}
}
  • J. Booher
  • Published 2014
  • There are several approaches. Heegner [9] gave a proof in 1952 using the theory of modular functions and complex multiplication. It was dismissed since there were gaps in Heegner’s paper and the work of Weber [18] on which it was based. In 1967 Stark gave a correct proof [16], and then noticed that Heegner’s proof was essentially correct and in fact equivalent to his own. Also in 1967, Baker gave a proof using lower bounds for linear forms in logarithms [1]. Later, Serre [14] gave a new… CONTINUE READING

    Tables from this paper

    References

    SHOWING 1-5 OF 5 REFERENCES
    On the “gap” in a theorem of Heegner
    • 47
    • PDF
    Linear forms in the logarithms of algebraic numbers
    • 143
    • Highly Influential
    A Modular Curve of Level 9 and the Class Number One Problem
    • 18
    • Highly Influential
    • PDF