ISSN 2167-5163

Essentials

MathSciNet Publications Search provides searchable fields, which can be joined with Boolean operators to create many different combinations of search criteria. These fields are described below. None of these fields are case sensitive, and the wildcard symbol, *, can be used to broaden most searches. Examples of valid entries are provided below.

Author
Author/Related
Title
Review Text
Journal
Institution Code
Series
MSC Primary/Secondary
MSC Primary
MR Number
Reviewer
Anywhere
References

Author

The Author field limits the search to only names of authors listed in the original document. The Author field can be used to exclude items that list the name as editor, translator, or as the subject of a biography.  See Author/Related. Names should be input in the form: last name, first name, middle name(s) or initial(s). Commas must be used to separate last and first names.

The wildcard (*) may be used anywhere within the name string to broaden the search. Note that if it is used at the beginning, it is ignored. TeX-coded accents do not need to be omitted from names when searching. For example, when searching for a name coded as m\"uller, you may use use m\"uller or muller. While searching for the TeX character \ is now available, it may provide unpredictable results. You may also use ISO-Latin encoded accented characters in searching.

Examples: Erdos, P*
Knuth, Donald E.
Kap*sky, I*
smith
Müller

Cyrillic
Effective with MR 83a (January 1983), a new system for transliteration (romanization) of Cyrillic was adopted. This may affect author name searches (both last names and initials). In some cases, it may be necessary to do two searches, using first the current and then the old transliteration, in order to find all of the papers by a particular author. See the transliteration table for more information.

When using the Author field, consider beginning your search with an Authors Search, rather than a Publications search, as this will allow you to uniquely choose an author, independently of published name variations.

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Author/Related

The Author/Related field includes all names of authors listed in the original document, as well as other names associated with the document (for example, editors, translators, contributors who are not listed as authors, the subject of the item when it is a biography or festschriften). Names should be input in the form: last name, first name, middle name(s) or initial(s). Commas must be used to separate last and first names.

The wildcard (*) may be used anywhere within the name string to broaden the search. Note that if it is used at the beginning, it is ignored. TeX-coded accents do not need to be omitted from names when searching. For example, when searching for a name coded as m\"uller, you may use use m\"uller or muller. While searching for the TeX character \ is now available, it may provide unpredictable results. You may also use ISO-Latin encoded accented characters in searching.

Examples: Erdos, P*
Knuth, Donald E.
Kap*sky, I*
smith
Müller

Cyrillic
Effective with MR 83a (January 1983), a new system for transliteration (romanization) of Cyrillic was adopted. This may affect author name searches (both last names and initials). In some cases, it may be necessary to do two searches, using first the current and then the old transliteration, in order to find all of the papers by a particular author. See the transliteration table for more information.

When using the Author/Related field, consider beginning your search with an Authors Search, rather than a Publications search, as this will allow you to uniquely choose an author, independently of published name variations.

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Title

The Title field contains the original title and/or an English translation of the original title. It does not contain subtitles. The title of a collection is in this field, but note that, for an individual item in a collection, the associated collection title is not within this field and is not searchable in this field (see Anywhere). Complete or partial titles may be entered. While searching for the TeX character \ is now available, it may provide unpredictable results. The wildcard (*) may also be used. You may also use ISO-Latin encoded accented characters in searching.

Examples: superstable groups
alpha laplacian distribution
neural network*

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Review Text

The entire Review Text field can be searched by entering keywords or phrases. TeX codes for mathematical symbols and in names may be used, but may provide unpredictable results. The wildcard (*) may be used. You may also use ISO-Latin encoded accented characters in searching.

Examples: finitary quasivarieties
algebr*
pollard rho

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Journal

The Journal field contains full and/or abbreviated journal names. Original and translated journal names are searched. The wildcard (*) may be used.

When entering a journal abbreviation as search criterion, it is not necessary to enter the exact MR journal abbreviation. Many reasonable abbreviations will work. For example, the Israel Journal of Mathematics has an abbreviation of Israel J. Math, however, entering any of the following in the journal field will have the same result:

Isr. J. Math.
Israel Jour. Math.
Israel Jour. of Math.
Israel Journal of Math.

The following strings will match both "American Mathematical Society. Bulletin. New Series" and "Bulletin of the American Mathematical Society":

bul. am. math. soc.
bull. am. math. soc.
bull of the amer. math. soc.
bull ams

However, in this example, the last string will also match several other journals. To make sure that only the desired journal is matched, use a Journals search to find the journal ISSN, which may also be used as the journal field search criterion.

Examples: j hist astronom
pattern rec*
j sym* logic
jasa
0273-0979

Matching more than one journal can occur even if the full journal name is specified.

To browse or search a current Journals/Serials list, use the Journals search.

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Institution Code

The Institution Code field contains the codes used to identify the author's institution at the time of publication. An institution code or part of a code can be entered. The wildcard (*) may be used.

To search an Institution Codes list, visit www.ams.org/instcode/. Search results return both the code and institution address (if available).

Examples: 1-MR
D-BLF-IM

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Series

The Series field contains full series titles or abbreviations for book series. Series data cannot be searched in records prior to 1985. The wildcard (*) may be used.

Examples: contemp math
persp* math

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MSC Primary/Secondary

This field contains all primary and secondary classification codes from the Mathematics Subject Classification (MSC) assigned to an item by the Mathematical Reviews editors. Every classified item has a primary classification. Many items have one or more secondary classifications. To limit a search to the primary classification, see MSC Primary.

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MSC Primary

This field contains only primary classification codes from the Mathematics Subject Classification (MSC) assigned to an item by the Mathematical Reviews editors. The Primary classification is selected by the editors as being the most appropriate, among the possible classifications, for the principal contribution of the item. Every classified item has a primary classification. Many items have one or more secondary classifications. To search among both primary and secondary classifications, see MSC Primary/Secondary.

The Mathematics Subject Classification Code consists of five characters, such as 62N10 or 27.1x, signifying major and minor divisions of the subject classification system used by Mathematical Reviews (MR) and Current Mathematical Publications (CMP). For example, 62N10 represents Statistics (62), Engineering Statistics (62N), and Quality Control (62N10). Broad areas may be searched by using the initial 2 or 3 digits of a classification (e.g. 62 or 62N). This is particularly useful for CMP records, which are often assigned preliminary classifications representing broad subject areas (e.g. 16-xx (Associative Rings and Algebras), 20Kxx (Abelian Groups)).

Classifications must be entered as two-, three-, or five-character codes when searching. The wildcard cannot be used in this field.

Classification codes are represented in the following forms.

Years/Volumes Code format
1940-1958 (volumes 1-19) 53.1X
1959-1972 (volumes 20-44) 30.50
1973-1979 (volumes 45-58) 70.57 (for sections 69-86)
51A05 (for sections 00-68, 90-94)
22-04 (intermingled throughout)
1980-present 51A05 and 22-04
Examples: 51A05
22-04
30.50
46.3X

Changes to the Mathematics Subject Classification at the 2-digit Level
Note: The MSC has been revised a number of times since 1940, but each item appears in MathSciNet with its original classification and has not been reclassified to reflect later revisions of the MSC. You may want to add the alternative classifications to your search criteria.

1980: 02 changed to 03 and 04; 04 incorporated into 03

  • up to 1979, 02 was used to classify logic and set theory
  • from 1980 to 1999, 03 was used for logic and 03 or 04 for set theory
  • from 2000, 03 has been used for logic and set theory

2000: 04 incorporated into 03

  • from 1980 to 1999, 03 was used for logic and 03 or 04 for set theory
  • from 2000, 03 has been used for logic and set theory

1962: 09 discontinued

  • up to 1961, 09 was used to classify some items in algebra;
  • in 1962, 09 discontinued
  • after 1962, one or more sections of 08, 12--20 have been used to classify algebra

1985: 10 changed to 11

  • up to 1984, 10 was used to classify number theory
  • since 1985, 11 has been used to classify number theory

2000: 28, 58 reconfigured into 58, 37 and 28

  • since 2000, 37 has been used to classify dynamical systems (previously classified primarily in 58) and ergodic theory (previously classified in 28)

1980: 50 changed to 51

  • up to 1956, 48 was used to classify geometry
  • in 1957 and 1958, both 48 and 50 were used to classify geometry
  • from 1959 to 1979, 50 was used to classify geometry
  • since 1980, 51 has been used to classify geometry

2000: 73 changed to 74

  • up to 1999, 73 was used to classify mechanics of solids
  • since 2000, 74 has been used to classify mechanics of solids

2000: 90, 92 reconfigured to 90, 91 and 92

  • since 2000, 91 has been used to classify game theory and mathematical economics (previously classified in 90), and social and behavioral sciences (previously classified in 92)

To search or browse the MSC, use Search MSC under other tools.

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MR Number

All items in the MR Database have a unique seven-digit accession number of the form MR2584951. These numbers are searchable in the MR Number field. Leading zeroes in this seven-digit number may be omitted. The "MR" prefix may also be omitted.

For compatibility with the paper publication Mathematical Reviews (1940-2012), certain items also have another alphanumeric identifier, in the past referred to as "the MR number". Identifiers of this type are given to items in the MR Database with reviews that have been published in Mathematical Reviews. These numbers are also searchable in the MR Number field.

The following chart shows how the syntax of the older form of the MR numbers reflects changes in the paper publication Mathematical Reviews over the years. For searching, the delimiting characters ("," and "#" and ":") are interchangeable and can be replaced by one or more spaces in each case.

Year Range/Volume MR Number Format
1940-1958/1-19 1,4b
1959-1961/20-22 20 #1234
1962/23,24 24 #B2455
1963-1972/25-44 44 #342
1973-1979/45-58 52 #2555
1980-1999 94b:35025
2000-2012 2000b:35025
2013- none
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Reviewer

The Reviewer field contains the name of the reviewer. Reviewer names are in the form last name, first name or initial, middle name(s) or initial(s). Commas must be used to separate last and first names. Use the wildcard symbol (*) anywhere in the name to broaden the search. You may also use ISO Latin encoded accented characters in searching.

The search is a string search, so that using "jones, p r" will return all of the reviews by "P. R. Jones", while "jones, peter" will return none of them (even though "Peter" is the first name of P. R. Jones).

Examples: Orlovskii, E.
McCoy, T*
Roseman, joseph j
anders*n,*

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Anywhere

The Anywhere option allows users to enter a word or phrase and search the entire MathSciNet record exclusive of any reference list (see References), which includes all the information searchable in any of the 11 fields on the pull down menu above the Anywhere field, together with bibliographic information, such as subtitles and the text descriptions of classifications, not searchable by any of those 11 fields. The wildcard (*) may be used to broaden the search. You may also use ISO Latin encoded accented characters in searching.

Examples: birthday
combinatori*
contemp* math
Roseman, joseph j

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References

The References option allows users to enter a word or phrase and search throughout the reference lists contained in MathSciNet. The wildcard (*) can be used to broaden the search. You may also use ISO Latin encoded accented characters in searching.

Examples: combinatori*
contemp* math
Graham, r

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American Mathematical Society