J. Bannon

collaborators

2 papers

math.RA2026

Non-isomorphism of rings of integer-coefficient holomorphic functions on disks of varying radius

Jon Bannon, David Feldman

For $I ¨ \in (0, 1]$ , let $R (I ¨ ) = Z [[z]] \cap O (B (0, I ¨ ))$ denote the ring of power series with integer Taylor coefficients converging on the open disk $B (0, I ¨ )$ . We prove th…

math.CV2026

Integer Coefficient Power Series with Prescribed Zero Sets

Jon Bannon, David Feldman

We prove that a discrete effective divisor on the open unit disk $D$ is the zero divisor of a holomorphic function on $D$ with integer Taylor coefficients if and…