Zentralblatt MATH (zbMATH) is the world’s most comprehensive and
longest-running abstracting and reviewing service in pure and
applied mathematics. For general information on the database and
its history see our About page and in
particular our tutorial videos.
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 summarising 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 (Mathematics 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
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.
The zbMATH database contains about 4 million bibliographic
entries with reviews or abstracts currently drawn from more than
3,000 journals and serials, and 180,000 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 current facts and figures on zbMATH see
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.
Journals to be indexed, either cover-to-cover or in parts, are
selected by the editor-in-chief, together with the
Publishers who would like their journals to be indexed in zbMATH
are encouraged to contact our journal administration at
Provided that the suggested journal falls within the
scope of zbMATH, our staff will
contact the publisher for the arrangement of a suitable data
Since a journal's scope and content may evolve, there is of course a
possibility that a reconsideration may uncover new aspects and lead to
different results. Hence we regularly review previous positive indexing
decisions as well as reconsider indexing requests for journals that were
declined in the past.
However, experience teaches us that significant changes only happen
during longer time periods, usually related to developments in the
journal's policy, community, and/or editorial board. Hence, in case
a journal was not accepted for indexing in the past, a resubmission
after a short time usually does not make much sense, and we may
choose not to answer every single request in the case of frequent
resubmissions, but reserve the right to internally define a more
appropriate period for reconsideration.
Reviewing mathematical papers is a valuable service to the
mathematical community and is highly appreciated by your
colleagues. The reviewers benefit from the fact that they regularly
receive major publications in their field, and that their
visibility is greatly increased within the community thanks to
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 40% 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 our
Guide for Reviewers.
The content and quality of zbMATH is highly reliant on
contributions from our reviewers. We are very grateful for their
help and we encourage active mathematicians to join them.
Please click here if you are
interested in becoming a reviewer.
Yes, the first three results of every search are displayed for
free. However, utilising 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.
If you are a member of a subscribing institution, you can use
zbMATH Remote to access zbMATH from your mobile device using your
institution's subscription, even when not logged into the
institution's network. To activate it, navigate to zbmath.org
while inside your institution's network, click "Remote →
Activate zbMATH Remote" in the top right corner, and confirm the
license agreement shown. This access is valid for a period of 3
months and can be renewed whenever you are logged into your
institution's network (e.g. via WiFi or VPN).
Please note that in order for the service to work, your browser has
to allow persistent cookies from the domain zbmath.org.
The swMATH database is available for free.
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. Springer acts as distributor of the
database and receives a fee for their sales services, as
FIZ Karlsruhe maintains no sales department.
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 digitisation 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
Please see also
for the recent history of 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.
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
To quickly identify the Zbl number of publications, e.g., from a
list of references, the
citation matching tool zbMATcH
is the easiest way. Apart from classical queries using author,
title, and other fields, one also has the option to just put a raw
reference string (possibly also containing typos and unusual
reference formats) into the first field. A fuzzy search will return
the zbMATH result closest to the input, if a minimum score of
similarity is achieved. For bibtex snippets or files you may use
the BibTeX interface.
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.
Alternatively you can use the Structured Search within the Documents tab which combines all search possibilities for documents. Please see also "How to search".
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 categorise items in the
mathematical sciences literature. The MSC is
updated every 10 years, the current version being
swMATH is our free database for mathematical software, please see https://swmath.org/about_contact.
For contributions to the software database swMATH see https://swmath.org/contribute/main.
for general information and
for details of the applied engine.
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
MathJax or by LaTeX, the latter presenting the
unprocessed TeX code only. Anyway, there is no loss
in search functionality by switching between the
You can choose your preferred format using the
Preferences button on the upper
The database zbMATH contains about 2.5 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
zbMATH offers biweekly updates in a feed format
that can be read by all modern newsreaders. Simply
click on the feed icon
next to the author ID in an author's profile, or the subject
heading in the
Note that several author IDs or MSC codes can be
joined by comma, e.g., you can use the link
to stay informed in the fields of convex geometry, tropical
geometry, and semifields.
Note that this service is available for subscribers only. In
particular, while you are outside your subscribing institution's
network, you will need a username and password to access the feed.
We very much appreciate your help in correcting erroneous entries in the database in any sense. Please contact the editorial office.
For suggestions regarding the author profiles see "How to correct my profile".
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.
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.
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 firstname.lastname@example.org.
For the articles in about 600 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 1.2 million entries contain references.
Citation counts in zbMATH are sometimes 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 continuously being improved. Currently zbMATH has more than 14 million linked references.