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 (Oxford Science Publications)

The Proceedings of the Third Conference of the Canadian Number Theory Association August 18-24, 1991 Exotic Values Of G-functions / F. Beukers -- Irregularities In The Distribution Of Primes / John B. Friedlander -- The Dirichlet Divisor Problem / D. R. Heath-brown -- A Motivated Introduction To The Langlands Program / M. Ram Murty -- Transcendental Numbers And Functions Of Several Variables / Michel Waldschmidt -- Square Roots Of Central Values Of Hecke L-series / F. Rodriguez Villegas And Don Zagier -- A Formula For The Fourier Coefficients Of Maass Cusp Forms / Henryk Iwaniec -- The Additive Divisor Problem And Exponential Sums / M. Jutila -- Distribution Of Small Powers Of A Primitive Root / Hugh L. Montgomery -- Ordered Factorizations For Integers And Arithmetical Semigroups / A. Knopfmacher, J. Knopfmacher And R. Warlimont -- A Simple Proof For Non-monogenesis Of The Rings Of Integers In Some Cyclic Fields / Toru Nakahara -- Representing Integers As Sums Of Squares And Hypothesis Ii / Jukka Pihko -- The Tate Conjecture For Almost Ordinary Abelian Varieties Over Finite Fields / Hendrik W. Lenstra, Jr. And Yuri G. Zarhin -- The Notion Of A Shimura Variety / V. Kumar Murty -- Galois Action On The Nilpotent Completion Of The Fundamental Group Of An Algebraic Curve / Takayuki Oda -- Arithmetic Of Subvarieties Of Abelian And Semiabelian Varieties / Paul Vojta -- Projection From An Algebraic Quadratic Form To Rational Quadratic Forms / Harvey Cohn -- Construction Of [actual Symbol Not Reproducible]-fields And Modular Forms Of Weight 1 / Teresa Crespo. A Universal Format For Local/global Theories / Paul Feit -- Shimura Reciprocity For Modular Functions With Rational Fourier Coefficients / Alan J. Laing -- On Serre's Conjecture (3.2.4[subscript ?]) And Vertical Weil Curves / Joan-c. Lario -- Units In Number Fields And Elliptic Curves / Odile Lecacheux -- Descent By 3-isogeny And 3-rank Of Quadratic Fields / Jaap Top -- Finite Heights And Rational Points On Surfaces / Yuri Tschinkel -- Linear Recurrence Relations For Some Generalized Pisot Sequences / David W. Boyd -- Algebraic Independence Of Drinfeld Exponential And Quasi-periodic Functions / W. Dale Brownawell -- Estimates For Discriminants And Resultants Of Binary Forms / Jan-hendrik Evertse -- A Note On Thue's Inequality With Few Coefficients / Julia Mueller -- K-nombres De Pisot Et De Salem / M. J. Bertin -- Cubic Inequalities Of Additive Type / J. Brudern And R. J. Cook -- Discrepance Et Diaphone En Dimension Un / Henri Faure -- Une Relation Entre Les Points Entiers Sur Une Courbe Algebrique Et Les Points Rationels De La Jacobienne / Noriko Hirata-kohno -- Problemes De Favard Et De Lehmer Generalises / Michel Langevin -- On The V-adic Independence Of Algebraic Numbers / Damien Roy -- Continued Fractions Of Formal Power Series / A. J. Van Der Poorten -- Paulo Ribenboim, At The Time Of His Retirement / Andrew Granville -- The Kummer-wieferich-skula Approach To The First Case Of Fermat's Last Theorem / Andrew Granville. Class Groups Of Exponent Two In Real Quadratic Fields / S. Louboutin, R. A. Mollin And H. C. Williams -- Poincare Polynomials, Stability Indices And Number Of Orderings I / J. Minac -- Paulo Ribenboim: Three Aspects Of His Career / T. M. Viswanathan -- Response / Paulo Ribenboim. Edited By Fernando Q. Gouvêa And Noriko Yui In Consultation With A. Granville ... [et Al.]. Includes Bibliographical References. A collection of papers on all aspects of recent research in number theory given at an international conference at Queen's University, Canada. Three specific topics were addressed: analytic number theory, arithmetical algebraic geometry and diophantine approximation.