Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T13:25:24.171676Z
Paper Citation Record · LEDGER
Bounds for the maximum modulus of polynomial roots with nearly optimal worst-case overestimation
As of 13 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2411.16385.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
17 of 17 outbound references displayed
- verified exact0
- verified fuzzy10
- unresolved7
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 193cdaa7-e0f0-47c6-9499-ff06f2639f40 · outbound
This paper cites Improvements of Lagrange’s bound for polynomial roots.
Bounds for the maximum modulus of polynomial roots with nearly optimal worst-case overestimation Improvements of Lagrange’s bound for polynomial roots
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:25:24.355517Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation bd683300-3032-414b-bc79-b0f7528edbdd · outbound
This paper cites The theory of equations: With an introduction to the theory of binary alge braic forms.
Bounds for the maximum modulus of polynomial roots with nearly optimal worst-case overestimation The theory of equations: With an introduction to the theory of binary alge braic forms
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:25:24.346381Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 85d75e4a-da6c-4d14-aa09-7de20fe4db31 · outbound
This paper cites ¨Uber die obere Schranke des absoluten Betrages der Wurzeln einer algebraischen Gleichung.
Bounds for the maximum modulus of polynomial roots with nearly optimal worst-case overestimation ¨Uber die obere Schranke des absoluten Betrages der Wurzeln einer algebraischen Gleichung
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:25:24.337758Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7cda3d59-8429-4f9b-8bbd-2e6f790651ab · outbound
This paper cites On the infinite families of zero bounds of complex polynomials.
Bounds for the maximum modulus of polynomial roots with nearly optimal worst-case overestimation On the infinite families of zero bounds of complex polynomials
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:25:24.328842Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3ab136cf-4d7f-4c2c-a5a5-3aab47798c93 · outbound
This paper cites On efficient computation and asymptotic sharpness of Kala ntari’s bounds for zeros of polynomials.
Bounds for the maximum modulus of polynomial roots with nearly optimal worst-case overestimation On efficient computation and asymptotic sharpness of Kala ntari’s bounds for zeros of polynomials
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:25:24.319331Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b6836141-aa9a-48f8-8d28-67dd5104e7ad · outbound
This paper cites An infinite family of bounds on zeros of analytic functions and relationship to Smale’s bound.
Bounds for the maximum modulus of polynomial roots with nearly optimal worst-case overestimation An infinite family of bounds on zeros of analytic functions and relationship to Smale’s bound
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:25:24.308731Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d126c506-c2d7-4387-a234-f66cefa06711 · outbound
This paper cites Bounds for the zeros of polynomials from compression matrix inequalities.
Bounds for the maximum modulus of polynomial roots with nearly optimal worst-case overestimation Bounds for the zeros of polynomials from compression matrix inequalities
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:25:24.298878Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 84e2b28b-0bfc-46e3-bbf3-5417bf183fe8 · outbound
This paper cites an unresolved cited work.
Bounds for the maximum modulus of polynomial roots with nearly optimal worst-case overestimation Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T13:25:24.288863Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1a689d58-2fec-4554-ae53-453bec852de2 · outbound
This paper cites an unresolved cited work.
Bounds for the maximum modulus of polynomial roots with nearly optimal worst-case overestimation Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T13:25:24.279726Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0a7f442b-d88f-42ca-a3ae-051dd7340f7f · outbound
This paper cites an unresolved cited work.
Bounds for the maximum modulus of polynomial roots with nearly optimal worst-case overestimation Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T13:25:24.270302Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8500d142-80be-4f8d-8ac7-337631a28393 · outbound
This paper cites an unresolved cited work.
Bounds for the maximum modulus of polynomial roots with nearly optimal worst-case overestimation Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T13:25:24.260932Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 215db5c5-47f5-4e11-bc42-c7a6d5ccbc15 · outbound
This paper cites an unresolved cited work.
Bounds for the maximum modulus of polynomial roots with nearly optimal worst-case overestimation Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T13:25:24.250622Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7c10633b-9c77-429f-9951-f15d5d0d8a70 · outbound
This paper cites an unresolved cited work.
Bounds for the maximum modulus of polynomial roots with nearly optimal worst-case overestimation Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T13:25:24.240896Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 93d000fb-e413-4828-b796-40190faffc8c · outbound
This paper cites I.; Schmeisser, G.
Bounds for the maximum modulus of polynomial roots with nearly optimal worst-case overestimation I.; Schmeisser, G
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:25:24.232215Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b8767164-49c9-426d-af92-cede36dd1cc5 · outbound
This paper cites Andreev, A.
Bounds for the maximum modulus of polynomial roots with nearly optimal worst-case overestimation Andreev, A
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:25:24.222316Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 99053a88-c5de-48ff-a4b7-5f9c35302400 · outbound
This paper cites Upperbounds for Roots of Polynomials.
Bounds for the maximum modulus of polynomial roots with nearly optimal worst-case overestimation Upperbounds for Roots of Polynomials
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:25:24.212250Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8d896cd4-ece0-4a9a-88d8-07802f4a6797 · outbound
This paper cites an unresolved cited work.
Bounds for the maximum modulus of polynomial roots with nearly optimal worst-case overestimation Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T13:25:24.200610Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Pith citing papers
No inbound Pith citation observations are available.