Analytic number theory : proceedings of a conference in honor of Heini Halberstam
Author(s)
Bibliographic Information
Analytic number theory : proceedings of a conference in honor of Heini Halberstam
(Progress in mathematics, vol. 138-139)
Birkhäuser, c1996
- : set
- v. 1
- v. 1
- v. 2
- v. 2
- v. 1
Available at 73 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
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"