Authors : Suman Rani; Dr. Rajiv Pal

Volume/Issue : Volume 10 - 2025, Issue 9 - September

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DOI : https://doi.org/10.38124/ijisrt/25sep737

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Abstract : A transcendental number refers to a number that does not fall among the roots of any nonzero polynomial equation with its coefficients as integers. This section encompasses an in-depth literature review to establish a basic understanding of transcendental numbers. Reviewing the historical development of transcendental number theory, the contributors to it, and trends in modern research applicability of transcendental number theory into various mathematics branches.

Keywords : Transcendental Number Theory, Algebraic Numbers, Lindemann–Weierstrass Theorem, Diophantine Approximation, Rational and Irrational Numbers, Complex Analysis.

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