**zbMATH**, formerly **Zentralblatt MATH**, is a major international reviewing service providing reviews and abstracts for articles in pure and applied mathematics, produced by the Berlin office of FIZ Karlsruhe – Leibniz Institute for Information Infrastructure GmbH. Editors are the European Mathematical Society (EMS), FIZ Karlsruhe, and the Heidelberg Academy of Sciences. zbMATH is distributed by Springer Science+Business Media. It uses the Mathematics Subject Classification codes for organising the reviews by topic.

Mathematicians Richard Courant, Otto Neugebauer and Harald Bohr, together with the publisher Ferdinand Springer, took the initiative for the foundation of a new mathematical reviewing journal. Harald Bohr, the brother of the famous physicist Niels Bohr, worked in Copenhagen. Courant and Neugebauer were professors at the University of Göttingen. At that time, Göttingen was considered one of the central places for mathematical research, having appointed mathematicians like David Hilbert, Hermann Minkowski, Carl Runge and Felix Klein, the great organiser of mathematics and physics in Göttingen. His dream of a building for an independent mathematical institute with a spacious and rich reference library was realised four years after his death. The credit for this achievement is particularly due to Richard Courant, who convinced the Rockefeller Foundation to donate a large amount of money for the construction.^{[1]}

The service was founded in 1931, by Otto Neugebauer as *Zentralblatt für Mathematik und ihre Grenzgebiete*. It contained the bibliographical data of all recently published mathematical articles and book, together with peer reviews done by mathematicians over the world. In the preface to the first volume, the intentions of Zentralblatt are formulated as follows:^{[2]}

Zentralblatt für Mathematik und ihre Grenzgebieteaims to publish — in an efficient and reliable manner — reviews of the entire world literature in mathematics and related areas in issues initially appearing monthly. As the name suggests, the main focus of the journal is mathematics. However, those areas that are closely related to mathematics will be treated as seriously as the so-called pure mathematics.

Zentralblatt and the Jahrbuch had in essence the same agenda, but Zentralblatt published several issues per year. An issue was published as soon as sufficiently many reviews were available, in a frequency of three or four weeks.^{[3]}

In the late 1930s, it began rejecting some Jewish reviewers and a number of reviewers in England and United States resigned in protest.^{[4]} Some of them helped start *Mathematical Reviews*, a competing publication.

The electronic form was provided under the name INKA-MATH (acronym for **In**formation System **Ka**rlsruhe-Database on **Math**ematics) since at least 1980. The name was later shortened to *Zentralblatt MATH.*

The Zentralblatt MATH abstracting service provides reviews (brief accounts of contents) of current articles, conference papers, books and other publications in mathematics, its applications, and related areas. The reviews are predominantly in English, with occasional entries in German and French. Reviewers are volunteers invited by the editors based on their published work or a recommendation by an existing reviewer.

Zentralblatt MATH is provided both over the Web and in printed form. The service reviews more than 2,300 journals and serials worldwide, as well as books and conference proceedings. Zentralblatt MATH is now edited by the European Mathematical Society, FIZ Karlsruhe, and the Heidelberg Academy of Sciences.

The Zentralblatt database also incorporates the 200,000 entries of the earlier similar publication *Jahrbuch über die Fortschritte der Mathematik* (JFM) from 1868 to 1942, added in 2003.

Access is by subscription. Currently, the first three records in a search are provided for free without a subscription.

*Mathematical Reviews*, published in the United States*Referativnyi Zhurnal*, published in the former Soviet Union and now in Russia

**^**Schappacher, Norbert (1983). "Das Mathematische Institut der Universität Göttingen 1929–1950". In Sauer, K. G.*Universität Göttingen unter dem Nationalsozialismus*. München: Wecker, Dahms, Wegeler. pp. 523–551.**^**Neugebauer, Otto (1931). "Geleitwort". In Neugebauer, O.; et al.*Zentralblatt für Mathematik und ihre Grenzgebiete*. Springer-Verlag. p. 1.**^**Göbel, Silke (2011). "Glimpses into the history of Zentralblatt MATH". In Teschke, O.; Wegner, Bernd; Werner, Dirk.*80 years of Zentralblatt MATH*. Heidelberg: Springer-Verlag. pp. 1–16. ISBN 978-3-642-21171-3. doi:10.1007/978-3-642-21172-0_1.**^**Lehmer, D. H. (1988). "A Half Century of Reviewing". In Duren, Peter.*A century of mathematics in America*(PDF) (Repr. ed.). Providence, R.I.: American Mathematical Society. pp. 265–266. ISBN 978-0-8218-0124-6.

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