D. Feldman

collaborators

4 papers

math.FA2026

Plücker coordinates of finite-dimensional subspaces of $ℓ^{p}$ and its direct sums: summability, reconstruction, stratification

David Victor Feldman

An $n$ -dimensional subspace of $ℓ^{p}$ has Plücker coordinates indexed by the $n$ -element subsets of $N$ . We show these coordinates lie in $\ell^p\In{n}$ --- the exponent is pres…

math.RA2026

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

Jon Bannon, David Feldman

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

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…

math.NT2026

Anomalous Partial Quotients in the Continued Fraction of $ζ (3) - S_{N}$

David Victor Feldman

Let $S_{N} = \sum_{j = 1}^{N} j^{- 3}$ and $R_{N} = ζ (3) - S_{N}$ . The simple continued fraction of $R_{N}$ has partial quotients of generic size $O (N)$ . We prove that at the sequence of…

Plücker coordinates of finite-dimensional subspaces of ℓp and its direct sums: summability, reconstruction, stratification

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

Integer Coefficient Power Series with Prescribed Zero Sets

Anomalous Partial Quotients in the Continued Fraction of ζ(3)−SN​​

Plücker coordinates of finite-dimensional subspaces of $ℓ^{p}$ and its direct sums: summability, reconstruction, stratification

Anomalous Partial Quotients in the Continued Fraction of $ζ (3) - S_{N}$