Zentralblatt MATH — Overview

Zentralblatt für Mathematik und ihre Grenzgebiete was founded in 1931 by O. Neugebauer and is today the longest-term running abstracting and reviewing service in the field of mathematics. It covers the entire spectrum of pure mathematics (e.g. algebra, logic, topology, geometry, analysis), probability theory, statistics, mathematical physics, classical, solid and fluid mechanics, numerical mathematics, mathematical programming, theoretical computer science and automata theory, systems theory, control, operations research, economics, information and communication, circuits, coding, cryptography, applications in biology, chemistry, sociology, psychology. Citations are classified according to the worldwide accepted Mathematics Subject Classification (MSC http://www.zblmath.fiz-karlsruhe.de/MATH/text/msc/index). It contains references to the worldwide literature drawn from currently about 3000 journals and serials(http://www.zblmath.fiz-karlsruhe.de/MATH/text/serials/index), from conference proceedings, collections of papers and books. In the course of the European extension the service was recently renamed to Zentralblatt MATH, to shorten the lengthy German title. Zentralblatt MATH (http://www.zblmath.fiz-karlsruhe.de/MATH/text/about/zentralblatt) publishes about 60.000 abstracts and reviews per year produced by more than 5000 scientists; the reviews are mainly written in English, but some also in French and German. Published by Springer-Verlag, Zentralblatt MATH is edited by the European Mathematical Society (EMS http://www.emis.de/), Fachinformationszentrum (FIZ) Karlsruhe (http://www.fiz-karlsruhe.de/), and the Heidelberger Akademie der Wissenschaften (http://www.haw.baden-wuerttemberg.de/).

The name Zentralblatt MATH stands equally for the conventional printed service as well as for the three online offers. The central offer consists in the online database with WWW-access, further offers are made via the host system of STN International, and the CD-ROM version for off-line use. The total amount of documents for which information is stored in the databases is more than 1.800.000. The online database is updated once a month which corresponds to two volumes of the printed service of Zentralblatt MATH.

Searches are possible on a variety of fields: authors, titles, classification, basic index, source, language etc. A search can be formulated in logical combinations of these terms. The search can be made in a command mode or be guided by a graphical user interface. The information is available in the AMSTeX source code, but tools for a convenient formula display are available. Download of the hit list at the users site is possible, and links to the full text of the corresponding article will be arranged, if this is available electronically. An additional option is document delivery service by which customers can order full text versions of the articles in question. Buttons to connect to such services and to see, if the corresponding article is available there, are installed in the search menu. Document delivery can be arranged by these services electronically or by sending copies by ordinary mail at reasonable rates.

Improvements of the services are continued in several areas, the most important being:

Cooperation of Zentralblatt as a European activity.

The overall goal is to improve the facilities of the “European Database in Mathematics” with Zentralblatt MATH as its core, to transform Zentralblatt within this framework to a distributed European activity (see the LIMES — Project http://www.emis.de/Projects/LIMES), and to improve and widen the access to Zentralblatt for European countries by providing structures for a better distribution on the technical and on the economical level. Initial steps into the direction of the European extension have been initiated through a bilateral German-French co-operation (CNRS/Université Grenoble) on software development and support, distribution of the database in France, and by a series of co-operations between German and Middle/East-European academic institutions (Hungary, Czech Republic, Russia, Ukraine et al.). About 13 servers of various types currently exist. Broader and improved access to the database via national access nodes and new data distribution methods are currently under discussion. In particular, improvements of access are planned for isolated universities in regions under economic difficulties and in associated states of Central and Eastern Europe where a mathematical tradition of excellence is under economic threat. Stimulation of usage for all kinds of research as well as for funding organizations before decision making is achieved by initial trial accounts. Improved coverage and evaluation of European research literature is planned via nationally distributed editorial units, and the development of new technologies for efficient database production. These activities are supervised by a European advisory board (under the auspices of the EMS), in close coordination with other European information activities (like FIZ, VINITI, European publishers etc.).

Library Partners of Zentralblatt MATH

Math State Library of Lower Saxony and the University Library of Goettingen (SUB)

Internet: http://www.sub.uni-goettingen.de

Postal Adress: Staats- und Unibersitätsbibliothek Göttingen, Platz der Göttinger Sieben 1, 37073 Göttingen, Federal Republic of Germany

University Library Hannover and the Technical Information Library (UB/TIB)

Internet: http://www.tib.uni-hannover.de/

Postal Adress: Technische Informationsbibliothek, Welfengarten 1b, 30167, Hannover

Federal Republic of Germany

Centrum voor Wiskunde en Informatica. CWI is the National Research Institute for Mathematics and Computer Science in the Netherlands. CWI performs frontier research in mathematics and computer science and transfers new knowledge in these fields to society in general and trade and industry in particular.

Internet: http://www.cwi.nl/departments/BIBL.html

Postal Adress: Centrum voor Wiskunde en Informatica Bibliotheek, Kruislaan 413, NL-1098 SJ, Amsterdam, The Netherlands

European Partners of Zentralblatt MATH

Lecce — Italy, SIBA, Coordinamento Servizi Informatici Bibliotecari di Ateneo Università degli Studi di Lecce: Carlo Sempi, Virginia Valzano, Sabina Flurschutz, Rosella Pinto, Antonio Marra

Copenhagen — Denmark, DTV, Danmarks Tekniske Videncenter & Bibliotek. Anker Engelunds VEJ 1 DK — 2800 Lyngby: Bodil Branner, Steen Markvorsen, Mogens Sandfaer, Annette Refn, Mette Fjeldhagen, Kirsten Hansen.

Greek — Athens. The Hellenic Mathematical Society. Panepistimiou 34, 10679 Athens — Greece: Panayiotis Vlamos.

Paris — France. Math Doc Cell. Centre National de la Recherche Scientifiques, Paris Université Joseph Fourier, Grenoble: Pierre Bérard, Laurent Guillopé

Corresponding Editorial Offices of Zentralblatt MATH

Mechanics and Mathematics Faculty of Kyiv University. Prof. Mikhail Moklyachuk, 01033 Kyiv, Ukraine.

Mathematical Institue of SANU. Prof. Neda Bokan, Matematicki Institute of SANU, Kneza Mihaila 35, YU — 11001 Beograd, p.p. 367 Jugoslavija.

Slovak Academy of Sciences. Dr. Miloslav Duchon. Mathematical Institute — Slovak Academy of Sciences, Stefanikova 49, 81473 Bratislava, Slovakia.

The University of Rousse. Prof. Plamen Yalamov, Center of Applied Mathematics and Informatics, University of Rousse, 7017 Rousse Bulgaria.

Union of Czech Mathematicians and Physicists. Prof. Dr. J. Rakosnik, Mathematical Institute Academy of Sciences of the Czech Republik Zitna 25,CZ 115 67 Praha, Czech Republik.

Department of Mathematics, Russian Academy of Sciences. Andrei Titarenko, VINITI, Usievicha 20a, Department of Scientific Information of Mathematics, 125219, Moksva, Russia

Sobolev Institute of Mathematics. Prof. Dr. Victor Alexandrov, Sobolev Institute of Mathematics, Universitetskii Prospekt 4, 630090 Novosibirsk-90 Russia.

Mathematics and Informatics, Kossuth Lajos University. Prof. Dr. Istvan Gaal, Department of Mathematics Kossuth Lajos University, H-4010 Debrecen, Pf. 12, Hungary.

Institute of Mechanics, National Ukrainian Academy of Sciences. Prof. A. A. Martynyuk, Nesterov Str. 3, 252057 Kiev, Ukraine.

The Corresponding Editorial Office of Zentralblatt MATH at Mechanics and Mathematics Faculty of Kyiv National University review articles published in the following journals and serials:

Applied Stochastic Models in Business and Industry. John Wiley & Sons, Chichester. (Formerly: Applied Stochastic Models and Data Analysis);

Computational Statistics. Physica-Verlag, Heidelberg. (Formerly: Computational Statistics Quarterly);

Dopovidi Natsional'noï Akademiï Nauk Ukraï ny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky. Prezidiya Natsional'noï Akademiï Nauk Ukraïny. Kyïv;

Dinamicheskie Sistemy (Simferopol'). Tavriya, Simferopol'. Partly translated in: Journal of Mathematical Sciences (New York);

Extremes. Statistical Theory and Applications in Science, Engineering and Economics. Kluwer Academic Publishers, Boston;

Finance and Stochastics. Springer-Verlag, Berlin;

Journal of Time Series Analysis. Blackwell Publishers, Oxford;

Matematychni Studiï. Pratsi L'vivs'kogo Matematychnogo Tovarystva. VNTL, Lviv;

Methods of Functional Analysis and Topology. Scientific TBiMC Publishers, Kiev;

Random Operators and Stochastic Equations. VSP, Zeist;.

Scandinavian Actuarial Journal. Published for The Danish Society of Actuaries, The Actuarial Society of Finland, The Norwegian Society of Actuaries and The Swedish Society of Actuaries by Taylor & Francis, Basingstoke;

Scandinavian Journal of Statistics. Theory and Applications. Blackwell, Oxford;

Teoriya Jmovirnostej ta Matematichna Statistika. Kiï vskij Universitet Im. Tarasa Shevchenka. Vidavnitstvo TViMS, Kiïv. Translated as: Theory of Probability and Mathematical Statistics. American Mathematical Society (AMS), Providence, RI;

Theory of Stochastic Processes. Kiev. (Formerly: Teoriya Sluchajnykh Protsessov);

Trudy Institutu Matematyky Natsional'noï Akademiï Nauk Ukraïny. Kiïv;

Ukraï nskyj Matematychnyj Zhurnal. Naukovyj Zhurnal. Instytut Matematyky AN Ukraïny, Kyïv. Translated as: Ukrainian Mathematical Journal. Consultants Bureau, New York;

U Sviti Matematyky. Ukraï nskiyj Matematychnyj Zhurnal dlya Shkolyarib. Kyïv;

Zhurnal Obchyslyuval'noï ta Prykladnoï Matematyky. TViMS, Kyïv; Kyï vs'kyj Universytet Im. T. Shevchenka, Kyïv. Partly translated in: Journal of Mathematical Sciences (New York) (Formerly: Obchyslyuval'na ta Prykladna Matematyka);

Prykladna Gidromekhanika. Applied Hydromechanics. Instytut Gidromekhaniky Natsional'noï Akademiï Nauk Ukraïny, Kyïv. (Formerly: Gidromekhanika);

Krajovi Zadachi dlya Dyferentsial'nykh Rivnyan'. Zbirnyk Naukovykh Prats'. Instytut Matematyky NAN Ukraïny, Kyïv;

Naukovyj Visnyk Chernivets'kogo Universytetu. Matematyka. Chernivets'kyj Universytet, Chernivtsi;

Naukovyj Visnyk Uzhgorods'kogo Universytetu. Seriya Matematyka. Polychka Karpats'kogo Krayu, Uzhgorod;

Visnyk Derzhavnogo Universytetu L'vivs'ka Politekhnika. Vydavnytstvo Derzhavnogo

Universytetu L'vivs'ka Politekhnika, L'viv;

Visnyk Donets'kogo Universytetu. Seriya A. Pryrodnychi Nauky. Donets'kyj Derzhavnyj Universytet, Donetsk;

Visnyk Kharkivs'kogo Universytetu. Seriya Matematyka, Prykladna Matematyka i Mekhanika. Kharkivs'kyj Derzhavnyj Universytet, Kharkiv;

Visnyk Kyï vs'kogo Universytetu Imeni Tarasa Shevchenka. Seriya Fizyko-Matematychni Nauky. Kyïv;

Visnyk L'vivs'kogo Universytetu. Seriya Mekhaniko-Matematychna. Svit, L'viv;

Visnyk. Matematyka, Mekhanika. Kyï vs'kyj Universytet Imeni Tarasa Shevchenka.

Contents of Reviews

A review of a mathematical work should give a brief and clear account of its contents. Reviewing papers in applied mathematics should concentrate on the mathematical aspects. Reading the review is not intended to be a substitute for reading the original paper; the primary purpose is to help the user to decide whether a he needs to read the original. The reviewer has, in principle, no responsibility of checking the correctness or novelty of the original, but if he does discover that it contains a significant error or that it overlaps significantly with other work, he should mention the fact. References to related work are always appreciated.

Style and Format: Reviews should preferably be written in English. German or French will be accepted in exceptional cases. They should be expressed concisely and clearly and should conform to normal standards of usage in the language chosen. A reader with a moderate knowledge of the language in question should be able to understand the review. In case of a translated title of the original, please check its correctness.

Citations: References to journal articles should be given in the form: {\it author} [journal short title according to Zentralblatt MATH (See serials and journals database), volume number, issue number, pages (publication year; Zbl number)]. You may look up the Zbl reference for citations in our MATH Database. Example: {\it B. H. Gross} and {\it D. B. Zagier} [J. Reine Angew. Math. 335, 191-220 (1985; Zbl: 545.10015)]. References to books, reports, theses etc. should be given in the form: {\it author} [original title or English translation title (Language) (series, publisher, city), (publication year; Zbl number (or leave space))]. Example: {\it J. Tate} [Les conjectures de Stark sur le fonctions L dArtin en s=0 (Prog. Math. 47, Birkhäuser, Boston) (1984; Zbl 545.12009)]. For other references give as many details as possible.

Reviews of papers published in scientific journals must meet the following requirement:

1) the data of the document have been keyboarded in the input format used by Zentralblatt,

2) the abbreviation and transliteration standards of Zentralbatt have been applied,

3) the title has been translated into English if it has been given in another language,

4) classifications according to the current MSC (MSC 2000 at present) and some suitable English keywords have been added to the review,

5) the review has been edited as far as the formulas and quotations are concerned and the whole set of data has been proofread for the final version.

The texts should be written in AMSTEX.