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 leading international figures in this area, which encompasses the main branches of analytic number theory. In particular, many of the papers reflect the interaction among the different fields of sieve theory, Dirichlet series (including the Riemann Zeta-function), and exponential sums, while 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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Book Description
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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Inside This Book
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First Sentence:
Define a Goldbach number to be an even number which can be written as the sum of two primes. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
additive divisor problem, approximate functional equation, elliptic analogues, difference between consecutive primes, sieve methods, critical strip, sixth moment, cusp forms, exponential sums, exceptional set, density theorem, analytic number theory, integer points, circle method, asymptotic formula, whole complex plane, positive density Key Phrases - Capitalized Phrases (CAPs): (learn more)
London Math, University Press, Acta Arith, Acta Math, Ram Murty, Reine Angew, Lecture Notes, Academic Press, Amalfi Conf, Geometry of Numbers, Lithuanian Math, Acta Anth, Japan Acad, Michigan Math, Scuola Norm, Some Applications of Sieves of Dimension, The Theory of the Riemann Zeta-Function New!
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Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Define a Goldbach number to be an even number which can be written as the sum of two primes. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
additive divisor problem, approximate functional equation, elliptic analogues, difference between consecutive primes, sieve methods, critical strip, sixth moment, cusp forms, exponential sums, exceptional set, density theorem, analytic number theory, integer points, circle method, asymptotic formula, whole complex plane, positive density Key Phrases - Capitalized Phrases (CAPs): (learn more)
London Math, University Press, Acta Arith, Acta Math, Ram Murty, Reine Angew, Lecture Notes, Academic Press, Amalfi Conf, Geometry of Numbers, Lithuanian Math, Acta Anth, Japan Acad, Michigan Math, Scuola Norm, Some Applications of Sieves of Dimension, The Theory of the Riemann Zeta-Function New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 14
books:
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cites this book:
- Analytic Number Theory (London Mathematical Society Lecture Note Series) by Yoichi Motohashi on 4 pages
- The Theory of the Riemann Zeta-Function (Oxford Science Publications) by E. C. Titchmarsh on page 54, page 142, and page 307
- Analytic Number Theory:The Halberstam Festschrift 2 (Progress in Mathematics) by Bruce C. Berndt on page 107, page 242, and page 324
- The Hardy-Littlewood Method (Cambridge Tracts in Mathematics) by R. C. Vaughan on page 54, and page 100
- Multiplicative Number Theory by Harold Davenport on page 53, and page 142
See all 14 books this book cites
- Number Theory for the Millennium Volume 1 by M.A. Bennett on page 339
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