Analytic Number Theory

Proceedings of a Conference in Honor of Heini Halberstam

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

Buch | Hardcover

448 Seiten

1996
Birkhauser Verlag AG
978-3-7643-3933-3 (ISBN)

Infos

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.

Inhalt

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.

Produkt-Details

• Reihe/Serie: Progress in Mathematics ; v. 139
• Zusatzinfo: 2 illustrations
• Verlagsort: Basel
• Sprache: englisch
• Maße: 155 x 235 mm
• Themenwelt: Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
• ISBN-10: 3-7643-3933-0 / 3764339330
• ISBN-13: 978-3-7643-3933-3 / 9783764339333
• Zustand: Neuware