Sieve methods, exponential sums, and their applications in number theory :
Sieve methods, exponential sums, and their applications in number theory : proceedings of a symposium held on Cardiff, July 1995 /
Sieve Methods, Exponential Sums, & their Applications in Number Theory
edited by G.R.H. Greaves, G. Harman, M.N. Huxley.
- Cambridge : Cambridge University Press, 1997.
- 1 online resource (x, 344 pages) : digital, PDF file(s).
- London Mathematical Society lecture note series ; 237 .
- London Mathematical Society lecture note series ; 237. .
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
The exceptional set for Goldbach's problem in short intervals / On an additive property of stable sets / Squarefree values of polynomials and the abc-conjecture / The values of binary linear forms at prime arguments / Some applications of sieves of dimension exceeding 1 / Representations by the determinant and mean values of L-functions / On the Montgomery-Hooley asymptotic formula / R.C. Baker, G. Harman and J. Pintz -- A. Balog and I.Z. Ruzsa -- J. Browkin [and others] -- J. Brudern, R.J. Cook and A. Perelli -- H. Diamond and H. Halberstam -- W. Duke, J. Friedlander and H. Iwaniec -- D.A. Goldston and R.C. Vaughan.
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.
9780511526091 (ebook)
Sieves (Mathematics)--Congresses.
Exponential sums--Congresses.
QA241 / .S495 1997
512/.73
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
The exceptional set for Goldbach's problem in short intervals / On an additive property of stable sets / Squarefree values of polynomials and the abc-conjecture / The values of binary linear forms at prime arguments / Some applications of sieves of dimension exceeding 1 / Representations by the determinant and mean values of L-functions / On the Montgomery-Hooley asymptotic formula / R.C. Baker, G. Harman and J. Pintz -- A. Balog and I.Z. Ruzsa -- J. Browkin [and others] -- J. Brudern, R.J. Cook and A. Perelli -- H. Diamond and H. Halberstam -- W. Duke, J. Friedlander and H. Iwaniec -- D.A. Goldston and R.C. Vaughan.
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.
9780511526091 (ebook)
Sieves (Mathematics)--Congresses.
Exponential sums--Congresses.
QA241 / .S495 1997
512/.73