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Pillars of Transcendental Number Theory

Pillars of Transcendental Number Theory

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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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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.

Produktdetaljer
Sprog: Engelsk
Sider: 174
ISBN-13: 9789811541575
Indbinding: Paperback
Udgave:
ISBN-10: 9811541574
Udg. Dato: 3 maj 2021
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Verlag, Singapore
Oplagsdato: 3 maj 2021
Forfatter(e) Saradha Natarajan, Ravindranathan Thangadurai


Kategori Reel analyse, reelle variabler


ISBN-13 9789811541575


Sprog Engelsk


Indbinding Paperback


Sider 174


Udgave


Længde 0mm


Bredde 155mm


Højde 235mm


Udg. Dato 3 maj 2021


Oplagsdato 3 maj 2021


Forlag Springer Verlag, Singapore

Kategori sammenhænge