The Journal of the Indian Mathematical Society

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On Rings of Entire Functions of Finite Order


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1 Purdue University, Lafayette, Indiana, United States
     

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In 1940, Helmer showed [I, Theorem 9] that in the ring R of entire functions, every finitely generated ideal is principal. That is, if f, g are entire functions without zeros in common, there exist s, t in R such that

Sf + tg = l. (1)


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  • On Rings of Entire Functions of Finite Order

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Authors

Melvin Henriksen
Purdue University, Lafayette, Indiana, United States

Abstract


In 1940, Helmer showed [I, Theorem 9] that in the ring R of entire functions, every finitely generated ideal is principal. That is, if f, g are entire functions without zeros in common, there exist s, t in R such that

Sf + tg = l. (1)