Trace formula in noncommutative geometry and the Riemann hypothesis

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Discussion Overview

The discussion revolves around the paper titled "Trace formula in noncommutative geometry and the Riemann hypothesis." Participants express interest in accessing the paper, discuss its content, and share translations, while raising questions about specific aspects of the paper's arguments.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant initially seeks access to the paper, noting issues with the purchase link and expressing interest in the construction of a Frobenius-Perron operator related to Riemann zeros.
  • Another participant later shares that they successfully obtained the paper and provides a link to it.
  • A different participant questions the omission of contributions from the sum over primes in the paper and expresses confusion about the construction of a Hamiltonian from the trace.
  • One participant mentions plans to translate the paper into English and later confirms they have completed the translation, inviting comments and feedback on their work.

Areas of Agreement / Disagreement

The discussion includes multiple viewpoints regarding the paper's content and its implications, particularly concerning the contributions from the sum over primes and the construction of a Hamiltonian. There is no consensus on these issues, and participants express varying levels of understanding and interpretation.

Contextual Notes

Participants note potential copyright issues related to sharing the paper and the challenges in accessing it. There is also acknowledgment that the translation may not fully capture the original text's meaning.

Who May Find This Useful

This discussion may be of interest to those studying noncommutative geometry, the Riemann hypothesis, or related mathematical concepts, as well as individuals looking for translations or interpretations of complex academic papers.

crowlogic
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Does anyone know where to find this paper?

Formule de trace en géométrie non-commutative et hypothèse de Riemann = Trace formula in noncommutative geometry and the Riemann hypothesis

http://cat.inist.fr/?aModele=afficheN&cpsidt=2561461

The purchase link is broken there.. it gets stuck in an infinite page redirect loop. I found the journal homepage at http://www.elsevier.com/wps/find/journaldescription.cws_home/600301/description#description and the link to the table of contents points to http://www.elseviermathematics.com/ but this page is completely blank! What gives?

I think the paper seems interesting because he contructs a Frobenius-Perron operator from a classical map whose eigenvalues are the riemann zeros.
 
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perhaps policy forums do not let you post here a copyrighted material ( this paper is supposed to be payed) , anyway i do not understand why author of paper 'ignores' the contribution from the sum over primes in the paper or how could he construct a Hamiltonian from this Trace
 
Then I guess I'll do a translation and post that at some point
 

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