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Imaginary quadratic fields with class number 1 Bínovský, Ondrej ; Kala, Vítězslav (advisor) ; Cherubini, Giacomo (referee) We give an exposition of Heegner's and Siegel's proofs that there are exactly 9 imaginary quadratic fields with class number equal to 1. In particular, we discuss Weber's original method of determining the class invariants of an imaginary quadratic field. Finally, we give an elementary proof of a sufficient condition, due to Alice Gee, for a value of a modular function to be a class invariant. 1 Detailed record

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