Pillars of Transcendental Number Theory
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 t
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Pillars of Transcendental Number Theory
Pillars of Transcendental Number Theory
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Saradha Natarajan Ravindranathan Thangadurai •
Pillars of Transcendental Number Theory
123
Saradha Natarajan DAE Centre for Excellence in Basic Sciences University of Mumbai Mumbai, Maharashtra, India
Ravindranathan Thangadurai Department of Mathematics Harish-Chandra Research Institute Prayagraj, Uttar Pradesh, India
ISBN 978-981-15-4154-4 ISBN 978-981-15-4155-1 https://doi.org/10.1007/978-981-15-4155-1
(eBook)
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Preface
Since the proof of Hermite in 1873 on the transcendence of the classical constant e, the theory of transcendence has evolved as a well-developed subject due to the contributions of many mathematicians like Lindemann, Thue, Siegel, Gelfond, Schneider, Roth and others. Baker’s work on linear forms in logarithms from 1965 to 1970 gave an impetus to the subject. The years that followed saw a resurgence of the subject. Several improvements were made in the lower bound estimates
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