Analysis of Divergent Series and Ramanujan's Results with a Correction Factor

A 2026 paper by Magizhan R S analyzing divergent series by treating infinity as a discrete algebraic variable. The work compares standard progression formulas with Srinivasa Ramanujan's regularized results, uncovering a recurring correction factor of approximately -0.0290103234. It presents a proof by contradiction regarding the nature of sequence indexes.

Use Cases

• Studying the algebraic treatment of infinity as a discrete variable based on the described methodology.
• Investigating the correction factor Δ ≈ -0.0290103234 identified in divergent linear and cubic series.
• Exploring contradictions in boundary definitions for sequence indexes as discussed in the proof.
• Comparing standard algebraic progression formulas with Ramanujan's regularized results as outlined in the paper.

Strengths

• Presents a specific, derived correction factor of Δ ≈ -0.0290103234.
• Provides a proof by contradiction based on the principle that sequence indexes must belong to the Natural Numbers.
• Explicitly compares results with the well-known work of Srinivasa Ramanujan.

Limitations

• Description metadata is limited; actual data quality requires manual inspection after download.
• Column-level documentation is absent; field semantics must be inferred after download.
• Row count is unknown, which may limit suitability assessment.

Provenance

Source

Magizhan R S Dataverse

Collection Method

Derived by the author during Class 8, as stated in the description.

Freshness

Last updated 2026-06-09 15:49:53; freshness should be verified.