zbMATH — the first resource for mathematics


1. What is zbMATH?

Zentralblatt MATH (zbMATH) is the world’s most comprehensive and longest-running abstracting and reviewing service in pure and applied mathematics.

2. Why will zbMATH improve my research?

zbMATH is much more than a common search engine.
First of all, its functionalities and algorithms are strictly focused on mathematics and its applications, allowing for systematic queries yielding higher precision, accuracy and integrity while searching for mathematical content. zbMATH offers various filters, cross-links and special search fields relevant for mathematics, e. g. for formulae.
Secondly, zbMATH provides additional reviews summarizing and evaluating the content and the quality of an article or book from a neutral point of view. We also provide additional descriptors such as the matching MSC (Mathematical Subjects Classification) categories and suitable keywords for every document.
Thirdly, errata and retracted articles remain in the database making it possible to track the development of scientific debates.
Therefore you will find only scientifically relevant, peer-reviewed mathematical content (including bibliographic data for material not available online), making zbMATH the most comprehensive mathematical database in the world. For documents available online we provide full-text linking.

3. What is included in zbMATH?

The zbMATH database contains more than 3.5 million bibliographic entries with reviews or abstracts currently drawn from more than 3,000 journals and serials, and 170,000 books from all areas of pure mathematics as well as applications, in particular to the natural sciences, computer science, economics and engineering.
A paper or book is relevant to zbMATH if it either contributes to mathematical theory, deals with mathematical problems, or applies advanced mathematical techniques.
The coverage starts in 1826 and is complete from 1868 to the present by the integration of the “Jahrbuch über die Fortschritte der Mathematik” database.
For more information on our scope and relevance criteria see https://zbmath.org/about/#id_1_1.

4. How up-to-date is zbMATH?

zbMATH is updated daily with new bibliographic data and abstracts. New issues of major journals are included at the latest within 3 months after publication and regularly even sooner.
Reviews are also updated on a daily basis after initial editorial work has been carried out. The final editorial work on reviews and abstracts is subsequently done as quickly as possible.

5. I found a mistake in the database. Who do I contact?

We very much appreciate your help in correcting erroneous entries in the database in any sense. Please contact the editorial office, https://zbmath.org/contact/.
For suggestions regarding the author profiles see FAQ no. 18.

6. Who can become a zbMATH reviewer?

zbMATH exists for and through the mathematical community. Every trained mathematician is very welcome to become a reviewer of zbMATH in his specific field of research. Please contact our editorial office in Berlin via editor@zentralblatt-math.org.
As a reviewer of zbMATH you can take advantage of certain privileges besides your invaluable contribution to the scientific community. Books and articles that you have reviewed remain your property and Springer Verlag grants you as a reviewer of zbMATH a discount of 33.3% or even 50% on Springer books ordered for your personal use. There is financial compensation for your out-of-pocket expenses. For detailed information about the benefits you receive as a reviewer and the technical details please see https://zbmath.org/reviewer-service/.

7. Can I use zbMATH without subscription?

Yes, the first three results of every search are displayed for free.
However, utilizing all features of zbMATH, e.g., the drop-down menus to filter your findings or citation profiles, is reserved for the users of the full version.
The swMATH database is available for free.

8. Who runs zbMATH?

zbMATH is produced by the Berlin office of FIZ Karlsruhe – Leibniz Institute for Information Infrastructure GmbH (FIZ Karlsruhe). Editors are the European Mathematical Society (EMS), FIZ Karlsruhe, and the Heidelberg Academy of Sciences and Humanities. zbMATH is distributed by Springer.

9. What happened to Zentralblatt?

The zbMATH database is the consequent transition of the printed Zentralblatt für Mathematik und ihre Grenzgebiete into the digital age. Since 1996 we offer all services online under the name zbMATH in addition to the printed edition. Since then we worked also on the digitization and incorporation of the printed volumes in the database now dating back to 1826.
The production of the printed volumes was finally discontinued in 2013 reflecting the altered demands of the mathematical community and in order to concentrate on the enhancement of our online services.
Please see also https://zbmath.org/about/#id_3_5 for the recent history of zbMATH.


10. How do I search best in zbMATH?

Simply start searching zbMATH using the one-line search and filter the results afterwards using the drop-down menus. If you want to clear the search field, just click on the chosen search tab again.
For an explanation of the possible search fields and operators you can always refer to the Help Summary available by clicking the Help button or to the general help page https://zbmath.org/general-help/.
Alternatively, you may employ the Structured Search which offers a convenient query mask combining all benefits of the one-line search and the formula search. For a short description of the most recently included search features see https://zbmath.org/about/#id_1_6.

11. What are the six different tabs for?

There are six different search tabs within zbMATH, each aiming at different content and offering specialized search opportunities, which are explained in detail if you click the Help button.

  • Use the Documents tab if you are searching for bibliographic entries (journal articles, books and book articles). Here you can also use the Structured Search which includes the formula search.
  • Use the Authors tab if you are searching for author profiles. All parts of an author's name, different transliterations, name variations and pseudonyms are searched.
  • Use the Journals tab if you are searching for a journal's or serial's profile. All parts of a journal’s name, as well common short forms are searched. You can also search with the ISSN (International Serials Standard Number) or the publisher's name.
  • Use the Classification tab if you are searching for all bibliographic entries belonging to a certain classification category of the MSC 2010. Both classification codes and texts are searched.
    Alternatively, you can browse the classification tree. Please see also FAQ no. 12.
  • Use the Software tab if you are searching for mathematical software. You can search for names, verbal description, classification according to the MSC, free keywords, the programming language and creators. Please see also FAQ no. 13 and http://swmath.org/help.
  • Use the Formulæ tab if you are searching for bibliographic entries (journal articles, books) by their formula content. Every entry containing the given formula in its title, abstract or review is found. Queries are formulated in LaTeX and search variables should be marked by a preceding question mark and ended by whitespace characters. Please see also FAQ no. 14.

Alternatively you can use the Structured Search within the Documents tab which combines all search possibilities for documents. Please see also FAQ no. 10.

12. What is the Mathematical Subject Classification (MSC)?

The Mathematics Subject Classification (MSC) is a classification scheme maintained by zbMATH and Mathematical Reviews. It is used by these reviewing services and many others to categorize items in the mathematical sciences literature.
The MSC is updated every 10 years, the current version being MSC2010.

13. What is swMATH?

swMATH is our free database for mathematical software, please see http://swmath.org/about_contact.
For contributions to the software database swMATH see http://swmath.org/contribute/main.

14. How does the formula search work?

Please see https://zbmath.org/formulae/ for general information and search.mathweb.org for details of the applied engine.

15. What is the difference between the display formats?

We offer three ways of displaying mathematical formulas, MathML, MathJax and LaTeX.
The XML-based MathML (Mathematical Markup Language) is the solution recommended by W3C for displaying mathematical content on the web and is set as default within zbMATH.
It allows not only for graphical display of formulas but also reflects their structure and is thus the basis for our formula search.
If your browser does not support MathML we feature the display of formulas by the JavaScript library MathJax or by LaTeX, the latter presenting the unprocessed TeX code only. Anyway, there is no loss in search functionality by switching between the display formats.
You can choose your preferred format using the Preferences button on the upper right corner.

16. Can I get full texts out of zbMATH?

The database zbMATH contains about 2.1 million direct links to electronic versions of the indexed publications, to the publishers’ websites and/or to electronic libraries with open access to the full texts (in particular to the European Digital Mathematics Library EuDML and to ElibM).
The number of full-text links is constantly growing, please see also https://zbmath.org/about/#id_1_4.

Author Profiles

17. How does the author disambiguation work?

At zbMATH we pursue two parallel strategies to improve the unambiguous identification of authors. We apply an algorithm mainly based on the analysis of co-author collaboration and the pattern of publishing activity.
Since 2015, an integration of several related services, such as the Mathematics Genealogy Project (MGP), Wikidata or ORCID, allows our algorithm to improve the time consistency of the authorship assignments.
Additionally, since 2014 we offer an easy-to-use author disambiguation interface. This tool allows you to edit any author profile and to correct and/or complete the authorship assignments performed by the algorithm. We are constantly working on improvements of the algorithm and the revision of the legacy data.

18. Can I correct my author profile?

Yes, you are warmly invited to correct your own profile as well as those of colleagues. Please help us to improve zbMATH by confirming or excluding documents from an author profile, merging two or more author profiles into one, including author identifiers like ORCID etc. or writing further suggestions to our author disambiguation team.
Editing an author profile requires nothing but a valid email address. You may use the Author Disambiguation Interface which you reach via the Edit Profile button on each profile page. Every user request will be thoroughly checked by our team.

19. Why is my latest paper not included yet?

There are two main factors for a paper's delayed addition to the database. There might be a delay in delivery of bibliographic data by the publisher, this holds true especially for print-only journals. Aside from that, we do not process all documents at arrival but according to our internal priority scheme.
We are constantly in touch with publishers to enhance the data delivery process while also working on further improvements to the internal workflows.
However, if you can not find your latest article even though it matches the criteria of zbMATH please do not hesitate to contact our editors via editor@zentralblatt-math.org.

20. What about article references?

For the articles in about 550 journals, lists of references are delivered, with links to their zbMATH entries as well as their electronic versions via Document Object Identifier (DOI).
It is one of our current main projects to improve and broaden the inclusion of references. Currently more than 430,000 entries contain references.

21. Why do I have fewer citations in zbMATH than elsewhere?

Citation counts in zbMATH are often lower than those provided by other services. Firstly, zbMATH is focused on peer-reviewed, mathematical research contributions only, so references from journals outside our scope or from preprints are not counted. Secondly, the author disambiguation excludes falsely contributed documents from the analysis.
Due to this high data quality and the comprehensive coverage of the world's mathematical literature the citation numbers provided by zbMATH very reliably reflect the specific impact of your research within the mathematical community.
Moreover, our reference recognition is improved continuously. Currently we have more than 5 million linked references.