arXiv (All)
open access
Regularization of a Divergent Arithmetic Product via the Asymptotic Monoid: The Case of $(-1)^{ω(n)}$
We apply the generalized monoid of words and logarithmic-prefix functionals of \cite{C1} to the regularization of the divergent product \[ P_ω=\prod_{n=1}^{\infty} n^{(-1)^{ω(n)}}, \] where \(ω(n)\) is the number of distinct prime divisors of \(n\). The associated Dirichlet series \(D_
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Exceptional sets for compositions involving Euler's function,the divisor-sum function and Dedekind's function#973322
- Isaac's Condition (TU) is false#1357554
- Central non-vanishing of Dirichlet $L$-functions#973769
- Szemerédi's theorem with random differences and arithmetic Kakeya#1344348
- Large values of $L(σ,χ)$ over sets of characters with small product set#1076852
Record · ID 1298154
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive