# MODULAR CURVES AND THE CLASS NUMBER ONE PROBLEM

@inproceedings{Booher2014MODULARCA, title={MODULAR CURVES AND THE CLASS NUMBER ONE PROBLEM}, author={J. Booher}, year={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

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