Sieve Methods, Exponential Sums, and their Applications in Number Theory / G. R. H. Greaves, G. Harman, M. N. Huxley.

By: Greaves, G. R. H [author.]Contributor(s): Harman, G [author.] | Huxley, M. N [author.]Material type: TextTextSeries: London Mathematical Society Lecture Note Series ; no. 237Publisher: Cambridge : Cambridge University Press, 1997Description: 1 online resource (360 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511526091 (ebook)Other title: Sieve Methods, Exponential Sums, & their Applications in Number TheoryAdditional physical formats: Print version: : No titleDDC classification: 512/.73 LOC classification: QA241 | .S495 1997Online resources: Click here to access online Summary: This volume comprises the proceedings of the 1995 Cardiff symposium on sieve methods, exponential sums, and their applications in number theory. Included are contributions from many leading international figures in this area which encompasses the main branches of analytic number theory. In particular, many of the papers reflect the interaction between the different fields of sieve theory, Dirichlet series (including the Riemann Zeta-function), and exponential sums, whilst displaying the subtle interplay between the additive and multiplicative aspects of the subjects. The fundamental problems discussed include recent work on Waring's problem, primes in arithmetical progressions, Goldbach numbers in short intervals, the ABC conjecture, and the moments of the Riemann Zeta-function.
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This volume comprises the proceedings of the 1995 Cardiff symposium on sieve methods, exponential sums, and their applications in number theory. Included are contributions from many leading international figures in this area which encompasses the main branches of analytic number theory. In particular, many of the papers reflect the interaction between the different fields of sieve theory, Dirichlet series (including the Riemann Zeta-function), and exponential sums, whilst displaying the subtle interplay between the additive and multiplicative aspects of the subjects. The fundamental problems discussed include recent work on Waring's problem, primes in arithmetical progressions, Goldbach numbers in short intervals, the ABC conjecture, and the moments of the Riemann Zeta-function.

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