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Pillars of Transcendental Number Theory

By: Saradha Natarajan,Ravindranathan Thangadurai

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Pillars of Transcendental Number Theory

By: Saradha Natarajan,Ravindranathan Thangadurai

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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Page Count

184

Publisher

Springer Nature

Published Date

ISBN 10

9811541558

ISBN 13

9789811541551

Pillars of Transcendental Number Theory

By: Saradha Natarajan,Ravindranathan Thangadurai

Write a review Read reviews Take a Quiz Solve Book Puzzle

Pillars of Transcendental Number Theory

By: Saradha Natarajan,Ravindranathan Thangadurai

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.

Average ratings

N/A

5

0%

4

0%

3

0%

2

0%

1

0%

Solve jigsaw puzzle

Age

Page Count

184

Publisher

Springer Nature

Published Date

ISBN 10

9811541558

ISBN 13

9789811541551