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Analytic Number Theory
Edited by:
H. G. Diamond
eBook ISBN:  9780821893104 
Product Code:  PSPUM/24.E 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 
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Analytic Number Theory
Edited by:
H. G. Diamond
eBook ISBN:  9780821893104 
Product Code:  PSPUM/24.E 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 

Book DetailsProceedings of Symposia in Pure MathematicsVolume: 24; 1973; 344 ppMSC: 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 etafunction [ 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 TuránKubilius 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 ]


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Articles

A. Baker — Effective methods in Diophantine problems. II [ MR 0337802 ]

Bruce C. Berndt — Character transformation formulae similar to those for the Dedekind etafunction [ 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 TuránKubilius 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 ]
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