Multiplicative anomaly and zeta factorization

E. Elizalde; M. Tierz

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Multiplicative anomaly and zeta factorization

E. Elizalde, M. Tierz

High Energy Physics - Theory · Submitted 23 Feb 2004

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim That provides a supplementary view, regarding the appearance of the multiplicative anomaly.

how it is stated · asserted 0.91 read the record →

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,181 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.20 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.60 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

Some aspects of the multiplicative anomaly of zeta determinants are investigated. A rather simple approach is adopted and, in particular, the question of zeta function factorization, together with its possible relation with the multiplicative anomaly issue is discussed. We look primordially into the zeta functions instead of the determinants themselves, as was done in previous work. That provides a supplementary view, regarding the appearance of the multiplicative anomaly. Finally, we briefly discuss determinants of zeta functions that are not in the pseudodifferential operator framework.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Some aspects of the multiplicative anomaly of zeta determinants are investigated.	contribution 0.88	0.80	0.08	asserted 0.78
s1	A rather simple approach is adopted and, in particular, the question of zeta function factorization, together with its possible relation with the multiplicative anomaly issue is discussed.	contribution 0.77	0.73	0.11	hedged possibility 0.48
s2	We look primordially into the zeta functions instead of the determinants themselves, as was done in previous work.	method 0.72	0.89	0.07	asserted 0.99
s3	That provides a supplementary view, regarding the appearance of the multiplicative anomaly.	interpretation 0.75	0.63	0.13	asserted 0.91
s4	Finally, we briefly discuss determinants of zeta functions that are not in the pseudodifferential operator framework.	contribution 0.96	0.77	0.07	asserted 0.65

What kind of paper the classifier reports this is: theoretical result 0.75 · evidence from proof or derivation 0.67.

What was examined, and what was not

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arXiv listing abstract v1

not examined

full text
figures and tables
references and citing sentences
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S sections
T body sentences
C citations
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

Some aspects of the multiplicative anomaly of zeta determinants are investigated. A rather simple approach is adopted and, in particular, the question of zeta function factorization, together with its possible relation with the multiplicative anomaly issue is discussed. We look primordially into the zeta functions instead of the determinants themselves, as was done in previous work. That provides a supplementary view, regarding the appearance of the multiplicative anomaly. Finally, we briefly discuss determinants of zeta functions that are not in the pseudodifferential operator framework.

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How the literature uses it

1 arXiv paper cite this in 5 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 3 sentences without a confident label

Cites it as support 1 paper

It has already been shown in [ref] that there is no multiplicative anomaly in the infinite product expression ([ref]) in the previous subsection.

A note on the action with the Schwarzian at the stretched horizon · Calculation of $#_DN$, $#_DD$ and $Pf(ω)|_β=2π$ · 0.98

Cites it as background 1 paper

It is nicely discussed in [ref] .

A note on the action with the Schwarzian at the stretched horizon · Multiplicative anomaly · 0.82

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