Number Theory
Springer Basel (Verlag)
978-3-0348-7025-2 (ISBN)
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 Ramanujan's 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.- Artin's Conjecture for Polynomials Over Finite Fields.- Continuous Homomorphisms as Arithmetical Functions, and Sets of Uniqueness.- Hamburger's 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 Artin's Holomorphy Conjecture.- Siegel's Main Theorem for Quadratic Forms.- Pfister's 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.
Erscheint lt. Verlag | 22.7.2012 |
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Reihe/Serie | Trends in Mathematics |
Zusatzinfo | VII, 527 p. 1 illus. |
Verlagsort | Basel |
Sprache | englisch |
Gewicht | 913 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie | |
Medizin / Pharmazie | |
Schlagworte | Algebra • arithmetic • Boundary element method • cryptography • Diophantine equation • finite field • Form • Graphs • Homomorphism • Number Theory • polynomial • Prime number • quadratic form • Story • Theorem |
ISBN-10 | 3-0348-7025-6 / 3034870256 |
ISBN-13 | 978-3-0348-7025-2 / 9783034870252 |
Zustand | Neuware |
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