The gap is that the result was only proved in equal
Research gap analysis derived from 3 mathematics papers in our local library.
The gap
The gap is that the result was only proved in equal characteristic. The gap is that the result did not involve products of various symbolic powers.
Evidence profile
Sourced from the stated research gap of the source papers, classified as general, spanning 3 journals.
Research trend
Established — well-defined area with open sub-problems.
Supporting evidence — 3 representative gaps
- Translates of completely normal elements and the Morgan-Mullen conjecture (2026) · Canadian Mathematical Bulletin · doi
The gap is the lack of a construction of sets of completely normal elements. The gap is the lack of a proof of the existence of elements that are simultaneously primitive and completely normal.
generalstated research gapevidence 5/5Keywords: gap lack construction sets completely normal elements proof - Factorization of power GCD matrices and power LCM matrices on certain gcd-closed sets (2026) · International Journal of Number Theory · doi
The gap is the lack of understanding of divisibility relations among power GCD matrices and power LCM matrices on certain gcd-closed sets. The gap is the need to extend a previous theorem and partially confirm a conjecture of Hong.
generalstated research gapevidence 5/5Keywords: gap lack understanding divisibility relations among power gcd - Uniform bounds on symbolic powers in regular rings (2026) · Journal für die reine und angewandte Mathematik (Crelles Journal) · doi
The gap is that the result was only proved in equal characteristic. The gap is that the result did not involve products of various symbolic powers.
generalstated research gapevidence 4/5Keywords: gap result was only proved equal characteristic did
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