Fractional Perfect Numbers, Fractional primes and its Application in Fractional Quantum Hall Effect

This paper introduces a new way to look at perfect numbers by extending divisors to rational numbers and utilizing Riemann zeta function and Ramanujan summation. Applying some of these rules to Fractional Quantum hall effect can explain stability order of fractions.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-29
DOI
https://doi.org/10.5281/zenodo.23753798
Primary Topic
Analytic Number Theory Research
Type
preprint
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preprint

Fractional Perfect Numbers, Fractional primes and its Application in Fractional Quantum Hall Effect

Neelesh Pandey
Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
preprint

Fractional Perfect Numbers, Fractional primes and its Application in Fractional Quantum Hall Effect

Neelesh Pandey
preprint en

Abstract

This paper introduces a new way to look at perfect numbers by extending divisors to rational numbers and utilizing Riemann zeta function and Ramanujan summation. Applying some of these rules to Fractional Quantum hall effect can explain stability order of fractions.

Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
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Fractional Perfect Numbers, Fractional primes and its Application in Fractional Quantum Hall Effect — Neelesh Pandey · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS