Title | Number Theory [electronic resource] / edited by R. P. Bambah, V. C. Dumir, R. J. Hans-Gill |
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Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 2000 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-7023-8 |
Descript | VII, 527 p. 1 illus. online resource |
A Centennial History of the Prime Number Theorem -- Non-homogeneous Problems: Conjectures of Minkowski and Watson -- On the Oscillation Theorems of Pringsheim and Landau -- Modular Equations in Ramanujanโs Lost Notebook -- The abc-conjecture -- On Values of Linear and Quadratic Forms at Integral Points -- Variants of the Second Borel-Cantelli Lemma and their Applications in Metric Number Theory -- Pythagorean Triples -- Integer Points in Plane Regions and Exponential Sums -- Artinโs Conjecture for Polynomials Over Finite Fields -- Continuous Homomorphisms as Arithmetical Functions, and Sets of Uniqueness -- Hamburgerโs Theorem on ? (s) and the Abundance Principle for Dirichlet Series with Functional Equations -- A Survey of Number Theory and Cryptography -- Recent Developments in the Mean Square Theory of the Riemann Zeta and Other Zeta-Functions -- Algebraic Curves Over Finite Fields with many Rational Points and their Applications -- A Report on Artinโs Holomorphy Conjecture -- Siegelโs Main Theorem for Quadratic Forms -- Pfisterโs Work on Sums of Squares -- Notes on the Prime Number Theorem-I -- Sums of Squares: An Elementary Method -- Solution of the Basic Problems of Discrete Geometry on the Plane -- Exponential Diophantine Equations Involving Products of Consecutive Integers and Related Equations -- Algebraic Independence of Transcendental Numbers: A Survey