6 papers
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…
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…
Plücker coordinates of finite-dimensional subspaces of and its direct sums: summability, reconstruction, stratification
David Victor Feldman
An -dimensional subspace of has Plücker coordinates indexed by the -element subsets of . We show these coordinates lie in $\ell^p\In{n}$ --- the exponent is pres…
Non-isomorphism of rings of integer-coefficient holomorphic functions on disks of varying radius
Jon Bannon, David Feldman
For , let denote the ring of power series with integer Taylor coefficients converging on the open disk . We prove that t…
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…
Anomalous Partial Quotients in the Continued Fraction of
David Victor Feldman
Let and . The simple continued fraction of has partial quotients of generic size . We prove that at the sequence of…