Analytic Number Theory: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 11-18, 2002 (Lecture Notes in Mathematics / C.I.M.E. ... Notes in Mathematics, 1891, Band 1891) - Softcover

Friedlander, J. B.

 
9783540363637: Analytic Number Theory: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 11-18, 2002 (Lecture Notes in Mathematics / C.I.M.E. ... Notes in Mathematics, 1891, Band 1891)
Softcover
ISBN 10: 3540363637 ISBN 13: 9783540363637
Verlag: Springer, 2006

Inhaltsangabe

The four papers collected in this book discuss advanced results in analytic number theory, including recent achievements of sieve theory leading to asymptotic formulae for the number of primes represented by suitable polynomials; counting integer solutions to Diophantine equations, using results from algebraic geometry and the geometry of numbers; the theory of Siegel’s zeros and of exceptional characters of L-functions; and an up-to-date survey of the axiomatic theory of L-functions introduced by Selberg.

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Von der hinteren Coverseite

The four contributions collected in this volume deal with several advanced results in analytic number theory. Friedlander’s paper contains some recent achievements of sieve theory leading to asymptotic formulae for the number of primes represented by suitable polynomials. Heath-Brown's lecture notes mainly deal with counting integer solutions to Diophantine equations, using among other tools several results from algebraic geometry and from the geometry of numbers. Iwaniec’s paper gives a broad picture of the theory of Siegel’s zeros and of exceptional characters of L-functions, and gives a new proof of Linnik’s theorem on the least prime in an arithmetic progression. Kaczorowski’s article presents an up-to-date survey of the axiomatic theory of L-functions introduced by Selberg, with a detailed exposition of several recent results.

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Verlag
Springer
Erscheinungsdatum
2006
Sprache
Englisch
ISBN 10 
3540363637
ISBN 13 
9783540363637
Einband
Taschenbuch
Anzahl der Seiten
232
Herausgeber
Perelli A.
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