Analytic number theory : proceedings of a conference in honor of Heini Halberstam

Author(s)

• Halberstam, H. (Heini)
• Berndt, Bruce C.
• Diamond, Harold G.
• Hildebrand, Adolf J.

Bibliographic Information

Analytic number theory : proceedings of a conference in honor of Heini Halberstam

Bruce C. Berndt, Harold G. Diamond, Adolf J. Hildebrand (eds.)

（Progress in mathematics, vol. 138-139）

Birkhäuser, c1996

• : set
• v. 1
• v. 1
• v. 2
• v. 2
• v. 1

Note

"On May 16-20, 1995, approximately 150 mathematicians gathered at the Conference Center of the University of Illinois at Allerton Park for an International Conference on Analytic Number Theory" -- Pref

Description and Table of Contents

Volume

v. 1 ISBN 9780817638245

Description

On May 16 -20, 1995, approximately 150 mathematicians gathered at the Conference Center of the University of Illinois at Allerton Park for an Inter national Conference on Analytic Number Theory. The meeting marked the approaching official retirement of Heini Halberstam from the mathematics fac ulty of the University of Illinois at Urbana-Champaign. Professor Halberstam has been at the University since 1980, for 8 years as head of the Department of Mathematics, and has been a leading researcher and teacher in number theory for over forty years. The program included invited one hour lectures by G. Andrews, J. Bour gain, J. M. Deshouillers, H. Halberstam, D. R. Heath-Brown, H. Iwaniec, H. L. Montgomery, R. Murty, C. Pomerance, and R. C. Vaughan, and almost one hundred other talks of varying lengths. These volumes comprise contributions from most of the principal speakers and from many of the other participants, as well as some papers from mathematicians who were unable to attend. The contents span a broad range of themes from contemporary number theory, with the majority having an analytic flavor.

Table of Contents

of Volume 1.- Weighted partition identities and applications.- Rogers-Ramanujan polynomials for modulus 6.- On subset-sum-distinct sequences.- The Brun-Titchmarsh Theorem on average.- Congruences for Fourier coefficients of half-integral weight modular forms and special values of L-functions.- The asymptotic formula for the number of representations of an integer as a sum of five squares.- Distribution of the error term for the number of lattice points inside a shifted ball.- A probabilistic generalization of the Riemann zeta function.- A general Heine transformation and symmetric polynomials of Rogers.- A sieve auxiliary function.- Bounds on complete exponential sums.- A note on the fourth power moment of the Riemann zeta-function.- Effective estimates of exponential sums over primes.- On products of multiplicative functions of absolute value at most 1 which are composed with linear functions.- Combinatorial sieves of dimension exceeding one II.- Congruences for partition functions.- Fractional power large sieves.- Some problems I presented or planned to present in my short talk.- On the number of divisors of n!.- Generalized Lambert series.- A generalization of an irreducibility theorem of I. Schur.- Bombieri's sieve.- Bh sequences.

Volume

: set ISBN 9780817639327

Description

A two-volume set presenting papers from an international conference on analytic number theory. The two volumes contain 50 papers, with an emphasis on topics such as sieves, related combinatorial aspects, multiplicative number theory, additive number theory, and Riemann zeta-function.

Volume

v. 2 ISBN 9780817639334

Description

The second of two volumes presenting papers from an international conference on analytic number theory. The two volumes contain 50 papers, with an emphasis on topics such as sieves, related combinatorial aspects, multiplicative number theory, additive number theory, and Riemann zeta-function.

Table of Contents

• An estimate for Heilbronn's exponential sum, D.R. Heath-Brown
• On B3 sequences, M. Helm
• On an elementary inequality in the theory of Diophantine approximation, C. Hooley
• The integer points close to a curve II, M.N. Huxley
• The fourth moment of Riemann's zeta-function and the additive divisor problem, M. Jutila
• On the uniform distribution of Gauss sums and Jacobi sums, N.M. Katz, Z. Zheng
• A problem of Steinhaus - can all placements of a planar set contain exactly one lattice point? M.N. Kolountzakis
• A note on the Riemann-Roch theorem for function fields, X.-J. Li
• Estimation of exponential sums over primes in short intervals II, J. Liu, T. Zhan
• Weighted Wiener-Levy theorems, L. Lucht, K. Reifenrath
• Spectral mean-values of automorphic L-functions at special points, W. Luo
• The size of the coefficients of cyclotomic polynomials, H. Maier
• On Kuznetsov's trace formulae, Y. Motohashi
• Stronger multiplicity one theorems for forms of general type on GL2, M.R. Murty, C.S. Rajan
• A sieve fundamental lemma for polynomials in two variables, M. Nair, A. Perelli
• Multiplicative independence for random integers, C. Pomerance
• On certain mesomorphic modular forms, R.A. Rankin
• Comparison of two dissimilar sums involving the largest prime factor of an integer, E. Scourfield
• On the determination of an L-function from one value, H.M. Stark
• An approximation to the q-analogue of n involving the n-analogue of a golden number, K.B. Stolarsky
• Small values of Dirichlet L-functions at 1, R.C. Vaughan
• Global zeta-functions over number fields and function fields, D. Wan
• Consequences from the study of concentration functions on shifted twin primes, S. Wong
• An affine slicing approach to certain paucity problems, T.D. Wooley
• Ramanujan's class invariants, Kronecker's limit formula and modular equations, (II)
• Probabilistic number theory in additive arithmetic semigroups I, W.-B. Zhang.

Volume

v. 1 ISBN 9781461286455

Description

On May 16 -20, 1995, approximately 150 mathematicians gathered at the Conference Center of the University of Illinois at Allerton Park for an Inter national Conference on Analytic Number Theory. The meeting marked the approaching official retirement of Heini Halberstam from the mathematics fac ulty of the University of Illinois at Urbana-Champaign. Professor Halberstam has been at the University since 1980, for 8 years as head of the Department of Mathematics, and has been a leading researcher and teacher in number theory for over forty years. The program included invited one hour lectures by G. Andrews, J. Bour gain, J. M. Deshouillers, H. Halberstam, D. R. Heath-Brown, H. Iwaniec, H. L. Montgomery, R. Murty, C. Pomerance, and R. C. Vaughan, and almost one hundred other talks of varying lengths. These volumes comprise contributions from most of the principal speakers and from many of the other participants, as well as some papers from mathematicians who were unable to attend. The contents span a broad range of themes from contemporary number theory, with the majority having an analytic flavor.

Table of Contents

of Volume 1.- Weighted partition identities and applications.- Rogers-Ramanujan polynomials for modulus 6.- On subset-sum-distinct sequences.- The Brun-Titchmarsh Theorem on average.- Congruences for Fourier coefficients of half-integral weight modular forms and special values of L-functions.- The asymptotic formula for the number of representations of an integer as a sum of five squares.- Distribution of the error term for the number of lattice points inside a shifted ball.- A probabilistic generalization of the Riemann zeta function.- A general Heine transformation and symmetric polynomials of Rogers.- A sieve auxiliary function.- Bounds on complete exponential sums.- A note on the fourth power moment of the Riemann zeta-function.- Effective estimates of exponential sums over primes.- On products of multiplicative functions of absolute value at most 1 which are composed with linear functions.- Combinatorial sieves of dimension exceeding one II.- Congruences for partition functions.- Fractional power large sieves.- Some problems I presented or planned to present in my short talk.- On the number of divisors of n!.- Generalized Lambert series.- A generalization of an irreducibility theorem of I. Schur.- Bombieri's sieve.- Bh sequences.

Volume

v. 1 ISBN 9783764338244

Description

The first of two volumes presenting papers from an international conference on analytic number theory. The two volumes contain 50 papers, with an emphasis on topics such as sieves, related combinatorial aspects, multiplicative number theory, additive number theory, and Riemann zeta-function.

Table of Contents

• Weighted partition identities and applications, K. Alladi
• Rogers Ramanujan polynomials for modulus 6, G.E. Andrews
• On subset-sum-distinct sequences, J. Bae
• The Brun-Titchmarsh theorem on average, R.C. Baker, G. Harman
• Congruences for Fourier coefficients of half-integral weight modular forms and special values of L-functions, A. Balog et al
• The asymptotic formula for the number of representations of an integer as a sum of five squares, P.T. Bateman
• Distribution of the error term for the number of lattice points inside a shifted ball, P. Bleher, J. Bourgain
• A probabilistic generalization of the Riemann zeta-function, N. Boston
• A general Heine transformation and symmetric polynomials of Rogers, D. Bowman
• A sieve auxiliary function, D. Bradley
• Bounds on complete exponential sums, T. Cochrane
• A note on the fourth power moment of the Riemann zeta-function, J. B. Conrey
• Effective estimates of exponential sums over primes, H. Daboussi
• On products of multiplicative functions of absolute value at most one which are composed with linear functions, H. Delange
• Combinatorial sieves of dimension exceeding one II, H.G. Diamond et al
• Congruences for partition functions, D. Eichborn, K. Ono
• Fractional power large sieves, P.D.T.A. Elliott
• Some problems I presented or planned to present in my short talk, P. Erdos
• On the number of divisors of n!, P. Erdos et al
• Generalized Lambert series, R. Evans
• A generalization of an irreducibility theorem of I. Schur, M. Filaseta
• Small values of indefinite binary quadratic forms, M.E. Flahive, A.C. Woods
• Bombieri's sieve, J. Friedlander, H. Iwaniec
• Bh sequences, S.W. Graham.

Volume

v. 2 ISBN 9783764339333

Description

The second of two volumes presenting papers from an international conference on analytic number theory. The two volumes contain 50 papers, with an emphasis on topics such as sieves, related combinatorial aspects, multiplicative number theory, additive number theory, and Riemann zeta-function.

Table of Contents

• An estimate for Heilbronn's exponential sum, D.R. Heath-Brown
• On B3 sequences, M. Helm
• On an elementary inequality in the theory of Diophantine approximation, C. Hooley
• The integer points close to a curve II, M.N. Huxley
• The fourth moment of Riemann's zeta-function and the additive divisor problem, M. Jutila
• On the uniform distribution of Gauss sums and Jacobi sums, N.M. Katz, Z. Zheng
• A problem of Steinhaus - can all placements of a planar set contain exactly one lattice point? M.N. Kolountzakis
• A note on the Riemann-Roch theorem for function fields, X.-J. Li
• Estimation of exponential sums over primes in short intervals II, J. Liu, T. Zhan
• Weighted Wiener-Levy theorems, L. Lucht, K. Reifenrath
• Spectral mean-values of automorphic L-functions at special points, W. Luo
• The size of the coefficients of cyclotomic polynomials, H. Maier
• On Kuznetsov's trace formulae, Y. Motohashi
• Stronger multiplicity one theorems for forms of general type on GL2, M.R. Murty, C.S. Rajan
• A sieve fundamental lemma for polynomials in two variables, M. Nair, A. Perelli
• Multiplicative independence for random integers, C. Pomerance
• On certain mesomorphic modular forms, R.A. Rankin
• Comparison of two dissimilar sums involving the largest prime factor of an integer, E. Scourfield
• On the determination of an L-function from one value, H.M. Stark
• An approximation to the q-analogue of n involving the n-analogue of a golden number, K.B. Stolarsky
• Small values of Dirichlet L-functions at 1, R.C. Vaughan
• Global zeta-functions over number fields and function fields, D. Wan
• Consequences from the study of concentration functions on shifted twin primes, S. Wong
• An affine slicing approach to certain paucity problems, T.D. Wooley
• Ramanujan's class invariants, Kronecker's limit formula and modular equations, (II)
• Probabilistic number theory in additive arithmetic semigroups I, W.-B. Zhang.

by "Nielsen BookData"

Details

• NCID: BA27924944
• ISBN:
  • 0817639322
  • 0817638245
  • 3764338245
  • 0817639330
  • 3764339330
  • 9781461286455
• LCCN: 96019918
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Boston
• Pages/Volumes: 2 v.
• Size: 25 cm
• Classification:
  • NDC9 : 410.8
  • NDC8 : 410.8
  • NDC8 : 412
  • LCC : QA241
  • DC20 : 512/.7
• Subject Headings:
  • LCSH : Number theory -- Congresses
• Parent Bibliography ID:
  • BA00018010