On a Variation of the Definition of Limit: Some Analytic Consequences

2011/10/27 by Dhurjati Prasad Datta, Datta, Dhurjati Prasad
Mathematics · Physics and Astronomy · #11A41 #26A12 #Advanced Mathematical Theories and Applications #Benford’s Law and Fraud Detection #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical and Theoretical Analysis #math.CA #msc:11A41 #msc:26A12

paper · pdf · doi:10.48550/arxiv.1110.6024

13 pages, Latex2e. An omission in the proof of Proposition 2 is corrected and Corollary 3 is added

openalex publication_date 2011/10/27 · arxiv created 2011/10/29 · arxiv updated 2011/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The basic formalism of a novel scale invarinat nonlinear analysis is presented. A few analytic number theoretic results are derived independent of standard approaches.

Citations

• On a new proof of the Prime Number Theorem

Related

• Limits and the system of near-numbers
• Axiomatic Definition of Limit of Real-Valued Functions
• A traditional dealing with a semi-classical limit and Hopf theorem
• Pathological limits in statistical mechanics
• On Some Types of Limit