2 math problems

Alvin

Does anyone know how to solve these problems on complex analysis? I have been working on them for near 2 weeks and still can't solve them! 1. Prove that every finitely generated ideal in the ring of entire functions is a principal ideal. 2.Prove that every closed ideal in the ring of entire functions is a principal ideal. Here "closed" refers to the topology of local uniform convergence, See Conway's "Functions of one complex variable" Chapter 7 , or Alhfor's "Complex analysis".

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