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Let R be a commutative noetherian ring with unit. It is shown that certain subrings contained between the polynomial ring R[X] and the power series ring i?[^] [|T]] are also noetherian. These subrings naturally arise from studying p-adic analytic variation of zeta functions over finite fields.doi:10.1090/s0002-9939-1995-1260186-4 fatcat:7qucfym45zaklmpvsyotahnfj4