A New Proof for Irrationality of π

Ever since Lambert proved that π is irrational in 18th century, lots of wonderful proofs have been provided by various mathematicians. To this day, π remains as one of the most significant and important real number among all real numbers. In this paper, we try to prove that π is irrational in a new and elementary way. In doing so, we have obtained new rational approximations for π.

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Publication Details

Journal
Indian Journal of Advanced Mathematics
Published
2025-04-26
DOI
https://doi.org/10.54105/ijam.a1196.05010425
Primary Topic
Advanced Mathematical Identities
Type
article
Field-Weighted Citation Impact
0.00
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article

A New Proof for Irrationality of π

Vijayakumar Ponnusamy, R. Sivaraman, J. Suganthi
Indian Journal of Advanced Mathematics
Advanced Mathematical Identities
article

A New Proof for Irrationality of π

Vijayakumar Ponnusamy, R. Sivaraman, J. Suganthi
article en

Abstract

Ever since Lambert proved that π is irrational in 18th century, lots of wonderful proofs have been provided by various mathematicians. To this day, π remains as one of the most significant and important real number among all real numbers. In this paper, we try to prove that π is irrational in a new and elementary way. In doing so, we have obtained new rational approximations for π.

Indian Journal of Advanced MathematicsVol. 5(1)
Openalex Percentile: Top 87%
Advanced Mathematical Identities
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A New Proof for Irrationality of π — Vijayakumar Ponnusamy, R. Sivaraman, et al. · Indian Journal of Advanced Mathematics (2025) | TGRS Research Map | TGRS