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Pillars of Transcendental Number Theory (Hardcover, 1st ed. 2020)
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Pillars of Transcendental Number Theory (Hardcover, 1st ed. 2020)
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This book deals with the development of Diophantine problems
starting with Thue's path breaking result and culminating in Roth's
theorem with applications. It discusses classical results including
Hermite-Lindemann-Weierstrass theorem, Gelfond-Schneider theorem,
Schmidt's subspace theorem and more. It also includes two theorems
of Ramachandra which are not widely known and other interesting
results derived on the values of Weierstrass elliptic function.
Given the constantly growing number of applications of linear forms
in logarithms, it is becoming increasingly important for any
student wanting to work in this area to know the proofs of Baker's
original results. This book presents Baker's original results in a
format suitable for graduate students, with a focus on presenting
the content in an accessible and simple manner. Each
student-friendly chapter concludes with selected problems in the
form of "Exercises" and interesting information presented as
"Notes," intended to spark readers' curiosity.
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