Reflection, Bernoulli Numbers and the Proof of Catalan's Conjecture

  • Preda Mihailescu

    Georg-August-Universität Göttingen, Germany
Reflection, Bernoulli Numbers and the Proof of Catalan's Conjecture cover
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Abstract

Catalan's conjecture states that the equation xp − yq = 1 has no other integer solutions but 32 − 23 = 1. We prove a theorem which simplifies the proof of this conjecture.