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Analytic Number Theory
 
Edited by: H. G. Diamond
Analytic Number Theory
eBook ISBN:  978-0-8218-9310-4
Product Code:  PSPUM/24.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Analytic Number Theory
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Analytic Number Theory
Edited by: H. G. Diamond
eBook ISBN:  978-0-8218-9310-4
Product Code:  PSPUM/24.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
  • Book Details
     
     
    Proceedings of Symposia in Pure Mathematics
    Volume: 241973; 344 pp
    MSC: Primary 11
  • Table of Contents
     
     
    • Articles
    • A. Baker — Effective methods in Diophantine problems. II [ MR 0337802 ]
    • Bruce C. Berndt — Character transformation formulae similar to those for the Dedekind eta-function [ MR 0337787 ]
    • M. Forti and C. Viola — On large sieve type estimates for the Dirichlet series operator [ MR 0506095 ]
    • John Coates — On Iwasawa’s analogue of the Jacobian for totally real number fields
    • Harold G. Diamond — The distribution of values of Euler’s phi function
    • P. D. T. A. Elliott — On connections between the Turán-Kubilius inequality and the large sieve: some applications [ MR 0344215 ]
    • P. Erdős and E. Szemeredi — On the number of solutions of $m = \sum _{i=1}^{k}$ $\chi ^k_i$ [ MR 0337760 ]
    • P. X. Gallagher — The large sieve and probabilistic Galois theory [ MR 0332694 ]
    • Larry Joel Goldstein — Some remarks on arithmetic density questions [ MR 0337903 ]
    • E. Grosswald — Relations between the values at integral arguments of Dirichlet series that satisfy functional equations [ MR 0337824 ]
    • Douglas Henseley and Ian Richards — On the incompatibility of two conjectures concerning primes
    • Christopher Hooley — On the intervals between consecutive terms of sequences [ MR 0384742 ]
    • Martin Huxley — The difference between consecutive primes [ MR 0357348 ]
    • W. B. Jurkat — On the Mertens conjecture and related general $\Omega $-theorems [ MR 0352026 ]
    • D. J. Lewis — The distribution of the values of real quadratic forms at integer points [ MR 0337764 ]
    • K. Mahler — The classification of transcendental numbers [ MR 0337806 ]
    • H. L. Montgomery — The pair correlation of zeros of the zeta function
    • H. Niederreiter — Metric theorems on the distribution of sequences [ MR 0337872 ]
    • Karl K. Norton — Bounds for sequences of consecutive power residues. I [ MR 0332697 ]
    • A. P. Ogg — Rational points on certain elliptic modular curves [ MR 0337974 ]
    • Walter Philipp — Arithmetic functions and Brownian motion [ MR 0354602 ]
    • H.-E. Richert and H. Halberstam — Brun’s method and the fundamental lemma
    • K. F. Roth — Estimation of the area of the smallest triangle obtained by selecting three out of $n$ points in a disc of unit area [ MR 0335445 ]
    • C. Ryavec — Euler products associated with Beurling’s generalized prime number systems [ MR 0337851 ]
    • Daniel Shanks — Systematic examination of Littlewood’s bounds on $L(1, \chi )$
    • H. M. Stark — On the Riemann hypothesis in hyperelliptic function fields [ MR 0332793 ]
    • Judith S. Sunley — Class numbers of totally imaginary fields [ MR 0332722 ]
    • Paul Turán — Exponential sums and the Riemann conjecture [ MR 0337822 ]
    • Robert C. Vaughan — A new estimate for the exceptional set in Goldbach’s problem
    • Peter J. Weinberger — On Euclidean rings of algebraic integers [ MR 0337902 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 241973; 344 pp
MSC: Primary 11
  • Articles
  • A. Baker — Effective methods in Diophantine problems. II [ MR 0337802 ]
  • Bruce C. Berndt — Character transformation formulae similar to those for the Dedekind eta-function [ MR 0337787 ]
  • M. Forti and C. Viola — On large sieve type estimates for the Dirichlet series operator [ MR 0506095 ]
  • John Coates — On Iwasawa’s analogue of the Jacobian for totally real number fields
  • Harold G. Diamond — The distribution of values of Euler’s phi function
  • P. D. T. A. Elliott — On connections between the Turán-Kubilius inequality and the large sieve: some applications [ MR 0344215 ]
  • P. Erdős and E. Szemeredi — On the number of solutions of $m = \sum _{i=1}^{k}$ $\chi ^k_i$ [ MR 0337760 ]
  • P. X. Gallagher — The large sieve and probabilistic Galois theory [ MR 0332694 ]
  • Larry Joel Goldstein — Some remarks on arithmetic density questions [ MR 0337903 ]
  • E. Grosswald — Relations between the values at integral arguments of Dirichlet series that satisfy functional equations [ MR 0337824 ]
  • Douglas Henseley and Ian Richards — On the incompatibility of two conjectures concerning primes
  • Christopher Hooley — On the intervals between consecutive terms of sequences [ MR 0384742 ]
  • Martin Huxley — The difference between consecutive primes [ MR 0357348 ]
  • W. B. Jurkat — On the Mertens conjecture and related general $\Omega $-theorems [ MR 0352026 ]
  • D. J. Lewis — The distribution of the values of real quadratic forms at integer points [ MR 0337764 ]
  • K. Mahler — The classification of transcendental numbers [ MR 0337806 ]
  • H. L. Montgomery — The pair correlation of zeros of the zeta function
  • H. Niederreiter — Metric theorems on the distribution of sequences [ MR 0337872 ]
  • Karl K. Norton — Bounds for sequences of consecutive power residues. I [ MR 0332697 ]
  • A. P. Ogg — Rational points on certain elliptic modular curves [ MR 0337974 ]
  • Walter Philipp — Arithmetic functions and Brownian motion [ MR 0354602 ]
  • H.-E. Richert and H. Halberstam — Brun’s method and the fundamental lemma
  • K. F. Roth — Estimation of the area of the smallest triangle obtained by selecting three out of $n$ points in a disc of unit area [ MR 0335445 ]
  • C. Ryavec — Euler products associated with Beurling’s generalized prime number systems [ MR 0337851 ]
  • Daniel Shanks — Systematic examination of Littlewood’s bounds on $L(1, \chi )$
  • H. M. Stark — On the Riemann hypothesis in hyperelliptic function fields [ MR 0332793 ]
  • Judith S. Sunley — Class numbers of totally imaginary fields [ MR 0332722 ]
  • Paul Turán — Exponential sums and the Riemann conjecture [ MR 0337822 ]
  • Robert C. Vaughan — A new estimate for the exceptional set in Goldbach’s problem
  • Peter J. Weinberger — On Euclidean rings of algebraic integers [ MR 0337902 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.