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This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

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Der Erwerb des Buches enthält gleichzeitig die kostenlose Mitgliedschaft im Buchklub des Verlags zum Ausprobieren - dort können Sie von über einer Million Bücher ohne weitere Kosten auswählen. Das Buch besteht aus Wikipedia-Artikeln: Paul Erdős, André Weil, Edmund Landau, S. Ramanujan, Carl Ludwig Siegel, Serge Lang, Derrick Lehmer, Helmut Hasse, Hermann Minkowski, Jean-Pierre Serre, Don Zagier, Charles-Jean de La Vallée Poussin, Jurjen Koksma, Martin Eichler, Juri Wladimirowitsch Matijassewitsch, Nikolaus Hofreiter, Noam Elkies, Arnold Scholz, Hans Rohrbach, Kurt Hensel, John T. Tate, Paul Epstein, Albrecht Fröhlich, Hans Adolph Rademacher, Andrew Granville, Arthur Wieferich, Paulo Ribenboim, Ivan M. Niven, Alexander Ossipowitsch Gelfond, Takagi Teiji, Iwasawa Kenkichi, Karl Rubin, Harald Bohr, Dorian Goldfeld, Boris Nikolajewitsch Delone, Harold Davenport, Wladimir Gennadjewitsch Sprindschuk, Hans Arnold Heilbronn, Klaus Friedrich Roth, Charles Pisot, Nikolai Grigorjewitsch Tschebotarjow, S. Sivasankaranarayana Pillai, Victor Kolyvagin, Richard Taylor, Friedrich Karl Schmidt, Kurt Heegner, Viggo Brun, Hel Braun, David Masser, Winfried Scharlau, Alan Baker, Curt Meyer, Hans-Heinrich Ostmann, Philipp Furtwängler, Stanley Skewes, Kazuya Katō, Hans Riesel, Preda Mihăilescu, Roger Heath-Brown, Kustaa Aadolf Inkeri, Joseph Ser, Vojtěch Jarník, Benedict Gross, Landon Curt Noll, Peter Borwein, James Cullen,. Online finden Sie die kostenlose Aktualisierung der Bücher. Nicht dargestellt. Auszug: S. Ramanujan (Srinivasa Ramanujan Aiyangar; FRS; Tamilisch: ஸ்ரீனிவாஸ ராமானுஜன் ஐயங்கார்; * 22. Dezember 1887 in Erode, Tamil Nadu; † 26. April 1920 in Kumbakonam, Tamil Nadu) war ein indischer Mathematiker. Er ist vor allem dafür bekannt, sich all sein Wissen autodidaktisch beigebracht zu haben. Von 1914 bis 1919 arbeitete er gemeinsam mit dem britischen Mathematiker Godfrey Harold Hardy am Trinity College der Universität Cambridge in England....http://booksllc.net/?l=de&id=87280 ... Read more

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The first part of this book provides a short and self-contained account of the theory of algebraic numbers and ideals leading up to Dedekind's theorem that every ideal of an algebraic number field is the unique product of prime ideals. The author also proves the finiteness of class number as well as Dirichlet's unit theorem. The second part studies Landau's generalization of the prime number theorem that was conjectured by Gauss in the eighteenth century and proven by Hadamard and Vallee Poussin in 1896. Landau generalized this fundamental result to arbitrary number fields in 1903. A few months before the publication of this book in 1917, Hecke proved a ground-breaking result about the analytic continuation of Dedekind zeta functions. The inclusion of a proof of Hecke's result in this book enabled Landau to reprove and sharpen his old prime ideal theorem as well as to present a variety of interesting corollaries. This book is based on lectures that the author gave in Berlin and Gottingen. ... Read more

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Landau's monumental treatise is a virtual encyclopedia of number theory and is universally recognized as the standard work on the subject. The text is in German. ... Read more

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Third ed. in English; translated from the German by Melvin Hauser and Martin Davis. ... Read more