zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Exponential sums with multiplicative coefficients. (English) Zbl 0362.10036

MSC:
11N37Asymptotic results on arithmetic functions
11L03Trigonometric and exponential sums, general
References:
[1]Daboussi, H.: Fonctions multiplicatives presque périodiques B. D’après un travail commun avec Hubert Delange. Journées Arithmétique de Bordeaux (Conf. Univ. Bordeaux, 1974), 321-324. Astérisque, 24-25. Soc. Math France, Paris, 1975. See also Daboussi, H., Delange, H.: Quelques propriétés des fonctions multiplicatives de module au plus égal à 1, C.R. Acad. Sci. Paris Ser. A278, 657-660 (1974)
[2]Davenport, H.: On some infinite series involving arithmetical functions (II). Quart. J. Math.8, 313-320 (1937) · doi:10.1093/qmath/os-8.1.313
[3]Davenport, H.: Multiplicative number theory. Chicago: Markham, 1966
[4]Halász, G.: On the distribution of additive and the mean values of multiplicative arithmetic functions. Studia Sci. Math. Hungar.6, 211-233 (1971)
[5]Halberstam, H., Richert, H.-E.: Sieve methods. London: Academic Press 1974
[6]Hardy, G.H., Wright, E.M.: An introduction to the theory of numbers, 4th ed. London: Oxford University Press 1962
[7]Littlewood, J.E.: On the class number of the corpus 82-1. Proc. London Math. Soc.27, 358-372 (1928) · doi:10.1112/plms/s2-27.1.358
[8]Paley, R.E.A.C.: A theorem on characters. J. London Math. Soc.7, 28-32 (1932) · Zbl 0003.34101 · doi:10.1112/jlms/s1-7.1.28
[9]Pólya, G.: Über die Verteilung der quadratischen Reste und Nichtreste. Göttinger Nachrichten 1918, pp. 21-29
[10]Vinogradov, I.M.: Über die Verteilung der quadratischen Reste und Nichtreste. J. Soc. Phys. Math. Univ. Permi2, 1-14 (1919)
[11]Vinogradov, I.M.: The method of trigonometrical sums in the theory of numbers. New York: Interscience 1954