Tata Institute of Fundamental Research 2007; 300 pp; hardcover ISBN10: 8173198985 ISBN13: 9788173198984 List Price: US$30 Member Price: US$24 Order Code: TIFR/12
 The study of Diophantine equations has a long and rich history, getting its impetus with the advent of Baker's theory of linear forms in logarithms, in the 1960's. T. N. Shorey's contribution to Diophantine equations, based on Baker's theory, is widely acclaimed. An international conference was held at the Tata Institute of Fundamental Research, Mumbai from December 1620 2005, in his honor. This volume has evolved out of the papers contributed by several participants and nonparticipants of the conference. These articles reflect the various aspects of exponential Diophantine equations from experts in the field. Narosa Publishing House for the Tata Institute of Fundamental Research. Distributed worldwide except in India, Bangladesh, Bhutan, Maldavis, Nepal, Pakistan, and Sri Lanka. Readership Graduate students and research mathematicians interested in number theory. Table of Contents  S. D. Adhikari, S. Baier, and P. Rath  An extremal problem in lattice point combinatorics
 G. K. Bakshi, M. Raka, and A. Sharma  Existence of polyadic codes in terms of Diophantine equations
 R. Balasubramanian and K. Ramachandra  Some problems of analytic number theoryV
 M. A. Bennett  Powers from five terms in arithmetic progression
 Y. Bugeaud  Linear forms in the logarithms of algebraic numbers close to 1 and applications to Diophantine equations
 S. David and N. HirataKohno  Logarithmic functions and formal groups of elliptic curves
 M. Filaseta, C. Finch, and J. R. Leidy  T. N. Shorey's influence in the theory of irreducible polynomials
 K. Györy and A. Pinter  Polynomial powers and a common generalization of binomial ThueMahler equations and \(S\)unit equations
 M. Kulkarni and B. Sury  On the Diophantine Equation \(1+x+\frac{x^2}{2!}+\cdots+ \frac{x^n}{n!} = g(y)\)
 F. Luca and A. Togbé  On numbers of the form \(\pm x^2\pm y!\)
 M. Mignotte  Linear forms in two and three logarithms and interpolation determinants
 Y. V. Nesterenko  Algebraic independence in the \(p\)adic domain
 P. Philippon  Remark on \(p\)adic algebraic independence theory
 M. R. Murty and V. K. Murty  On a conjecture of Shorey
 N. Saradha and A. Srinivasan  Generalized LebesgueRamanujanNagell equations
 A. Schinzel  Around Pólya's theorem on the set of prime divisors of a linear recurrence
 W. M. Schmidt  The number of solutions of some Diophantine equations
 C. L. Stewart  On the greatest square free factor of terms of a linear recurrence sequence
 D. S. Thakur  Diophantine approximation and transcendence in finite characteristic
 R. J. Tijdeman  On irrationality and transcendency of infinite sums of rational numbers
 M. Waldschmidt  The role of complex conjugation in transcendental number theory
