The Journal of the Indian Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

On Rings of Entire Functions of Finite Order


Affiliations
1 Purdue University, Lafayette, Indiana, United States
     

   Subscribe/Renew Journal


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)


Subscription Login to verify subscription
User
Notifications
Font Size


Abstract Views: 148

PDF Views: 0




  • On Rings of Entire Functions of Finite Order

Abstract Views: 148  |  PDF Views: 0

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)