Year: 2026
Type: article
Abstract: We revisit Fourier's method for proving the irrationality of e and generalise it into a unified Diophantine framework, which applies to a broad class of series with bounded or mildly growing integer numerators, and suitably growing, divisible denominators. Using integer linear forms, we establish a general criterion that recovers classical irrationality results while also generating new ones within a single structural approach.
Source: The Mathematical Gazette
Institution: Narasinha Dutt College
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7149533217