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Record W4246242015 · doi:10.2307/2695645

Prime Numbers and Irreducible Polynomials

2002· article· en· W4246242015 on OpenAlex

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.
aboutThe title or abstract carries a Canadian signal from the geographic lexicon.

Bibliographic record

VenueAmerican Mathematical Monthly · 2002
Typearticle
Languageen
FieldMathematics
TopicAnalytic Number Theory Research
Canadian institutionsQueen's University
Fundersnot available
KeywordsQueen (butterfly)Prime (order theory)MathematicsArt historyAlgebra over a fieldLibrary scienceCombinatoricsArtComputer sciencePure mathematics

Abstract

fetched live from OpenAlex

Click to increase image sizeClick to decrease image size Additional informationNotes on contributorsM. Ram MurtyM. RAM MURTY is Professor of Mathematics and Queen's National Scholar at Queen's University in Kingston, Ontario, Canada. He received his Ph.D. from MIT in 1980 under the supervision of Harold Stark. He was a member of the Institute for Advanced Study and the Tata Institute of Fundamental Research on numerous occasions. He was E.W.R. Steacie Fellow (1991–93), Killam Research Fellow (1998–2000), and elected Fellow of the Royal Society of Canada (1990). His monograph Nonvanishing of L-Functions and Applications, written jointly with V. Kumar Murty and published by Birkhauser-Verlag, won the 1996 Balaguer Prize.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.001
metaresearch head score (Gemma)0.002
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesInsufficient payload (model declined to judge)
Consensus categoriesInsufficient payload (model declined to judge)
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.708
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0010.002
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0010.000
Bibliometrics0.0000.000
Science and technology studies0.0000.001
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0030.001

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.056
GPT teacher head0.330
Teacher spread0.274 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it