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math.CV2026
The prime spectrum of rings of integer-coefficient power series on the disk
Jon Bannon, David Feldman
This is a sequel to \cite{PaperI}, where it is shown that a discrete effective divisor on the open unit disk $\D$ is the zero divisor of a holomorphic function with integer Taylor…
math.CV2026
Rigidity of symmetric holomorphic functions on infinite-dimensional sequence spaces
David Feldman, Jon Bannon
We study holomorphic functions on permutation-invariant subsets of an infinite-dimensional sequence space that are invariant under all finite permutations of coordinates. Working o…
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 is the zero divisor of a holomorphic function on with integer Taylor coefficients if and…