Advances in number theory : The proceedings of the Third Conference of the Canadian Number Theory Association, August 18-24, 1991, the Queen's University at Kingston

Includes bibliography and references.

PART I: Plenary Addresses
1.1. Exotic Values of G-functions, F. Beukers
1.2. Irregularities in the Distribution of Primes, John B. Friedlander
1.3. The Dirichlet Divisor Problem, D.R. Heath-Brown
1.4. A Motivated Introduction to the Langlands Program, M. Sam Murty
1.5. Transcendental Numbers and Functions of Several Variables, Michael Waldschmidt
1.6. Square Roots of Central Values of Hecke L-series, F. Rodriguez Villegas and Don Zagier

PART II: Analytic Number Theory
Invited Addresses
2.1. A Formula for the Fourier Coefficients of Maass Cusp Forms, Henryk Iwaniec
2.2. The Additive Divisor Problem and Exponential Sums, M. Jutila
2.3. Distribution of Small Powers of a Primitive Root, Hugh L. Montgomery
Contributed Talks
2.4. Ordered Factorizations for Integers and Arithmetical Semigroups, A. Knopfmacher, J. Knopfmacher and R. Warlimont
2.5. A Simple Proof for Non-Monogenesis of the Rings of Integers in some Cyclic Fields, Toru Nakahara
2.6. Representing integers as Sums of Squares and Hypothesis H, Jukka Pihko

PART III: Arithmetical Algebraic Geometry
Invited Addresses
3.1. The Tate Conjecture for Almost Ordinary Abelian Varieties over Finite Fields, Hendrik W. Lenstra, Jr. and Yuri G. Zarhin
3.2. The Notion of a Shimura Variety, V. Kumar Murty
3.3. Galois Action on the Nilpotent Completion of the Fundamental Group of an Algebraic Curve, Takayuki Oda
3.4. Arithmetic of Subvarieties of Abelian and Semiabelian Varieties, Paul Vojta
Contributed Talks
3.5. Projection from an Algebraic Quadratic Form to Rational Quadratic Forms, Harvey Cohn
3.6. Construction of S4-fields and Modular Forms of weight 1, Teresa Crespo
3.7. A Universal Format for Local/Global Theories, Paul Feit
3.8. Shimura Reciprocity for Modular Functions with Rational Fourier Coefficients, Alan J. Laing
3.9. On Serre's Conjecture (3.2.4?) and Vertical Weil Curves, Joan-C. Lario
3.10. Units in Number Fields and Elliptic Curves, Odile Lecacheux
3.11. Descent by 3-isogeny and 3-Rank of Quadratic Fields, Jaap Top
3.12. Finite Heights and Rational Points on Surfaces, Yuri Tschinkel

PART IV: Diophantine Approximation
Invited Addresses
4.1. Linear Recurrence for Some Generalized Pisot Sequences, David W. Boyd
4.2. Algebraic Independence of Drinfeld Exponential and Quasi-Periodic Functions, W. Dale Brownawell
4.3. Estimates for Discriminate and Resultants of Binary Forms, Jan-Hendrik Evertse
4.4. A Note on Thue's Inequality with Few Coefficients, Julia Mueller
Contributed Talks
4.5. K-Nombres de Pisot et de Salem, M.J. Bertin
4.6. Cubic Inequalities of Additive Type, J. Br"udern and R.J. Cook
4.7. Discrepance et Diaphone en Dimension Un, Henri Faure
4.8. Une Relation Entre les Points Entiers sur une Courbe Alg'ebrique et les Points Rationels de la Jacobienne, Noriko Hirata-Kohno
4.9. Probl`emes de Favard et de Lehmer Generalis'es, Micehl Langevin
4.10. On the V-adic Independence of Algebraic Numbers, Damien Roy
4.11. Continued Fractions of Formal Power Series, A.J. van der Poorten

PART V: Session in Honor of Paulo Ribenboim
Plenary Address
5.1. Paulo Ribenboim, At the Time of his Retirement, Andrew Granville
5.2. The Kummer-Wieferich-Skula Approach to the First Case of Fermat's Last Theorem, Andrew Granville
Invited Addresses
5.3. Class Groups of Exponent Two in Real Quadratic fields, S. Louboutin, R.A. Mollin, and H.C. Williams
5.4. Poincar'e Polynomials, Stability Indices and Number of Orderings I, J. Min'a^c
5.5. Speeches at the Banquet in Honor of P. Ribenboim
5.6. Paulo Ribenboim: Three Aspects of His Career, T.M. Viswanathan
5.7. Response, Paulo Ribenboim

This book contains the proceedings of the third conference of the Canadian Number Theory Association. The 38 technical papers presented in this volume discuss relevant and timely issues in the fields of analytic number theory, arithmetical algebraic geometry, and diophantine approximation.
The book includes several papers honoring Paulo Ribenboim, to whom this conference was dedicated.