Further study of the properties of the quaternionic
Research gap analysis derived from 4 mathematics papers in our local library.
The gap
Further study of the properties of the quaternionic Mahler measure. Application of the quaternionic Mahler measure to other areas of mathematics and physics.
Evidence profile
Sourced from the future-work section and stated challenges and stated research gap of the source papers, classified as general, drawn from work published between 1973 and 2026, spanning 4 journals.
Research trend
Established — well-defined area with open sub-problems.
Supporting evidence — 5 representative gaps
- The Quaternion Calculus (1973) · American Mathematical Monthly · doi
To further explore the properties and applications of the quaternion calculus. To develop new methods for generating quaternion functions from regular functions of the complex variable z. To study the use of the quaternion calculus in axisymmetric fluid flow.
generalfuture-work sectionKeywords: further explore properties applications quaternion calculus develop new - The Quaternion Calculus (1973) · American Mathematical Monthly · doi
The lack of an appropriate hypercomplex number system. The quaternion calculus is little known in this country. The need for a systematic introduction to the quaternion calculus and its applications.
generalstated challengesKeywords: lack appropriate hypercomplex number system quaternion calculus little - Quaternionic Möbius Transformations: a Different Approach to Relativistic Kinematics (Work in Progress). (2026) · Zenodo (CERN European Organization for Nuclear Research) · doi
The current approaches to relativistic kinematics lack a natural framework for representing physical quantities. The use of quaternions provides a novel approach to relativistic kinematics.
generalstated research gapevidence 5/5Keywords: current approaches relativistic kinematics lack natural framework representing - Quaternionic Mahler measure (2026) · Journal of Number Theory · doi
Further study of the properties of the quaternionic Mahler measure. Application of the quaternionic Mahler measure to other areas of mathematics and physics.
generalfuture-work sectionevidence 5/5Keywords: further study properties quaternionic mahler measure application other - Quaternionic generalization of the Eneström–Kakeya Theorem (2026) · ANNALI DELL'UNIVERSITA' DI FERRARA · doi
The quaternionic context has not been fully explored. The distribution of zeros for polynomials with quaternionic variables and quaternionic coefficients has not been well covered in the literature.
generalstated research gapevidence 5/5Keywords: quaternionic context has been fully explored distribution zeros
Questions about this gap
Explore this gap further
Run this gap as a query across open scholarly engines for the latest related literature.
Working on this gap? Review it with us.
Science AI Journal reviews manuscripts in one pass with 8 specialised AI agents calibrated on 69,000+ real peer reviews.
Tools for your next paper
Related gaps in Mathematics
- Provide empirical evidence to support the resultsProvide empirical evidence to support the results. The analysis is limited to theoretical derivations and proofs. The paper does not discuss…
- The results do not constitute a proof of the CollatzThe results do not constitute a proof of the Collatz conjecture. The paper does not resolve the conjecture itself. The numerical verificatio…
- The understanding of non-Kähler manifoldsThe understanding of non-Kähler manifolds. The paper fills this gap by proving several results about non-Kähler manifolds.
- The Birch and Swinnerton-Dyer conjecture remains unprovenThe Birch and Swinnerton-Dyer conjecture remains unproven. The paper identifies a gap in the understanding of the conjecture, relating to th…