Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 44 min ago
PreprintCC BY-NC-ND 4.0HAL

Zeta function over endomorphisms set

  • W Oukil
Open at sourcePDFCite

Abstract

We define the zeta function ΞΆX,𝒩 on π’³βˆ–IX, where IX is the identity endomorphism. The scalar restriction ΞΆβ„‚,𝒩 yields generalized Beurling zeta functions; in particular, ΞΆβ„‚,β„• coincides with the classical Riemann zeta function.

Related

  1. On module endomorphisms annihilated by residually square-free polynomials over Artinian local PIRs
    Abdelghaffar Chibloun, Mustapha Najmeddine
    arXivPreprintCC BY-NC-ND 4.0Full textAlgebra & number theoryarXiv
  2. Zeta functions of quasi-split reductive algebraic groups over local fields
    Marcus du Sautoy
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  3. Cohen-Lenstra heuristics and vanishing of zeta functions for superelliptic curves over finite fields
    Hyun Jong Kim
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  4. Currently, there are no reasons to doubt the Riemann Hypothesis: The zeta function beyond the realm of computation
    David W. Farmer
    Bulletin of the American Mathematical SocietyPeer-reviewedLicence not stated7 citedAlgebra & number theoryOpenAlex
  5. More than 8/9 zeros of the Riemann zeta function are simple or on the critical line
    Cristian Cobeli, Alexandru Zaharescu
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv

Cite

BibTeXRIS
BibTeX
@misc{oukil2026zeta,
  title = {{Zeta function over endomorphisms set}},
  author = {W Oukil},
  howpublished = {HAL},
  year = {2026},
  month = jun,
  url = {https://hal.science/hal-05673050v3},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Zeta function over endomorphisms set
AU  - W Oukil
PY  - 2026
DA  - 2026/06/29
PB  - HAL
UR  - https://hal.science/hal-05673050v3
AB  - We define the zeta function ΞΆ_X,𝒩 on π’³βˆ–I_X, where I_X is the identity endomorphism. The scalar restriction ΞΆ_β„‚,𝒩 yields generalized Beurling zeta functions; in particular, ΞΆ_β„‚,β„• coincides with the classical Riemann zeta function.
ER  -