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Titlebook: Rational Number Theory in the 20th Century; From PNT to FLT Władysław Narkiewicz Book 2012 Springer-Verlag London Limited 2012 20th century

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The Thirties,mber problems (error terms in asymptotical formulas, prime number differences,  …) as well as certain problems on classical arithmetical functions. Next the progress in Waring problem (Vinogradov’s approach) and Goldbach conjecture (Schnirelman’s theorem, Vinogradov’s three primes theorem) is descri
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The Forties and Fifties,g character sums invented by D.A. Burgess, the proof of the .+.-conjecture by H.B. Mann, and K.F. Roth’s theorem on approximation of algebraic numbers by rationals. We cover also the apparition of the Tate–Šafarevič group in the theory of elliptic curves, the birth of probabilistic number theory and
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The First Years,orms and the number of lattice points in various regions. A particular attention is given to the classical circle and divisor problems. The chapter ends with a survey of work on Diophantine equations in that period and Hensel’s introduction of .-adic numbers.
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1439-7382 ury developments in classical number theory for the first tiThe last one hundred years have seen many important achievements in the classical part of number theory. After the proof of the Prime Number Theorem in 1896, a quick development of analytical tools led to the invention of various new method
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Władysław Narkiewiczeln 3.1 und 3.2 werden energie- und umweltpolitische Rahmenbedingungen im Hinblick auf die Förderung von KWK-Anlagen in Deutschland dargestellt, wobei insbesondere die Rolle der KWK-Anlagen im Spannungsfeld von Liberalisierung der Energiesektoren und Klimaschutzpolitik berücksichtigt wird. Durch die
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