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Transcendental Numbers

M. Ram Murty () and Purusottam Rath ()
Additional contact information
M. Ram Murty: Queen's University, Department of Mathematics and Statistics
Purusottam Rath: Chennai Mathematical Institute

in Springer Books from Springer

Date: 2014
Edition: 2014
ISBN: 978-1-4939-0832-5
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Chapters in this book:

Ch Chapter 1 Liouville’s Theorem
M. Ram Murty and Purusottam Rath
Ch Chapter 10 Elliptic Functions
M. Ram Murty and Purusottam Rath
Ch Chapter 11 Transcendental Values of Elliptic Functions
M. Ram Murty and Purusottam Rath
Ch Chapter 12 Periods and Quasiperiods
M. Ram Murty and Purusottam Rath
Ch Chapter 13 Transcendental Values of Some Elliptic Integrals
M. Ram Murty and Purusottam Rath
Ch Chapter 14 The Modular Invariant
M. Ram Murty and Purusottam Rath
Ch Chapter 15 Transcendental Values of the j-Function
M. Ram Murty and Purusottam Rath
Ch Chapter 16 More Elliptic Integrals
M. Ram Murty and Purusottam Rath
Ch Chapter 17 Transcendental Values of Eisenstein Series
M. Ram Murty and Purusottam Rath
Ch Chapter 18 Elliptic Integrals and Hypergeometric Series
M. Ram Murty and Purusottam Rath
Ch Chapter 19 Baker’s Theorem
M. Ram Murty and Purusottam Rath
Ch Chapter 2 Hermite’s Theorem
M. Ram Murty and Purusottam Rath
Ch Chapter 20 Some Applications of Baker’s Theorem
M. Ram Murty and Purusottam Rath
Ch Chapter 21 Schanuel’s Conjecture
M. Ram Murty and Purusottam Rath
Ch Chapter 22 Transcendental Values of Some Dirichlet Series
M. Ram Murty and Purusottam Rath
Ch Chapter 23 The Baker–Birch–Wirsing Theorem
M. Ram Murty and Purusottam Rath
Ch Chapter 24 Transcendence of Some Infinite Series
M. Ram Murty and Purusottam Rath
Ch Chapter 25 Linear Independence of Values of Dirichlet L-Functions
M. Ram Murty and Purusottam Rath
Ch Chapter 26 Transcendence of Values of Class Group L-Functions
M. Ram Murty and Purusottam Rath
Ch Chapter 27 Transcendence of Values of Modular Forms
M. Ram Murty and Purusottam Rath
Ch Chapter 28 Periods, Multiple Zeta Functions and ζ(3)
M. Ram Murty and Purusottam Rath
Ch Chapter 3 Lindemann’s Theorem
M. Ram Murty and Purusottam Rath
Ch Chapter 4 The Lindemann–Weierstrass Theorem
M. Ram Murty and Purusottam Rath
Ch Chapter 5 The Maximum Modulus Principle and Its Applications
M. Ram Murty and Purusottam Rath
Ch Chapter 6 Siegel’s Lemma
M. Ram Murty and Purusottam Rath
Ch Chapter 7 The Six Exponentials Theorem
M. Ram Murty and Purusottam Rath
Ch Chapter 8 Estimates for Derivatives
M. Ram Murty and Purusottam Rath
Ch Chapter 9 The Schneider–Lang Theorem
M. Ram Murty and Purusottam Rath

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DOI: 10.1007/978-1-4939-0832-5

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