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Sieve methods, exponential sums, and their applications in number theory : proceedings of a symposium held on Cardiff, July 1995 / edited by G.R.H. Greaves, G. Harman, M.N. Huxley.
- Format:
- Book
- Conference/Event
- Conference Name:
- Symposium on Sieve Methods, Exponential Sums and their Applications in Number Theory (1995 : Cardiff, Wales)
- Series:
- London Mathematical Society lecture note series ; 237.
- London Mathematical Society lecture note series ; 237
- Language:
- English
- Subjects (All):
- Sieves (Mathematics)--Congresses.
- Sieves (Mathematics).
- Exponential sums--Congresses.
- Exponential sums.
- Physical Description:
- 1 online resource (x, 344 pages) : digital, PDF file(s).
- Other Title:
- Sieve Methods, Exponential Sums, & their Applications in Number Theory
- Place of Publication:
- Cambridge : Cambridge University Press, 1997.
- Language Note:
- English
- 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.
- Contents:
- The exceptional set for Goldbach's problem in short intervals / R.C. Baker, G. Harman and J. Pintz
- On an additive property of stable sets / A. Balog and I.Z. Ruzsa
- Squarefree values of polynomials and the abc-conjecture / J. Browkin [and others]
- The values of binary linear forms at prime arguments / J. Brudern, R.J. Cook and A. Perelli
- Some applications of sieves of dimension exceeding 1 / H. Diamond and H. Halberstam
- Representations by the determinant and mean values of L-functions / W. Duke, J. Friedlander and H. Iwaniec
- On the Montgomery-Hooley asymptotic formula / D.A. Goldston and R.C. Vaughan.
- Notes:
- Title from publisher's bibliographic system (viewed on 05 Oct 2015).
- Includes bibliographical references and index.
- ISBN:
- 1-139-88531-6
- 1-107-36745-X
- 1-107-37202-X
- 1-107-36254-7
- 1-107-36866-9
- 1-299-40508-8
- 1-107-36499-X
- 0-511-52609-1
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