skip to content
Structural properties of polylogarithms Preview this item
ClosePreview this item
Checking...

Structural properties of polylogarithms

Author: Leonard Lewin
Publisher: Providence, R.I. : American Mathematical Society, ©1991.
Series: Mathematical surveys and monographs, v. 37.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

The handful of peculiar numerical dilogarithmic identities, known since the time of Euler and Landen, gave rise to the discoveries concerning cyclotomic equations and related polylogarithmic ladders.  Read more...

Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Leonard Lewin
ISBN: 0821816349 9780821816349
OCLC Number: 23768560
Description: xviii, 412 pages : illustrations ; 27 cm.
Contents: The evolution of the ladder concept ; Dilogarithmic ladders / L. Lewin --
Polylogarithmic ladders ; Ladders in the trans-Kummer region ; Supernumary ladders / M. Abouzahra and L. Lewin --
Functional equations and ladders / L. Lewin --
Multivariable polylogarithm identities / G.A. Ray --
Functional equations of hyperlogarithms ; Kummer-type functional equations of polylogarithms / G. Wechsung --
The basic structure of polylogarithmic equations / Z. Wojtkowiak --
K-theory, cyclotomic equations and Clausen's function / J. Browkin --
Function theory of polylogarithms / S. Bloch --
Partition identities and dilogarithm / J.H. Loxton --
The dilogarithm and volumes of hyperbolic polytopes / R. Kellerhals --
Introduction to higher logarithms / R.M. Hain and R. MacPherson --
Some miscellaneous results / L. Lewin --
Appendix A : Special values and functional equations of polylogarithms / D. Zagier --
Appendix B : Summary of the Informal Polylogarithm Workshop, November 17-18, 1990, MIT, Cambridge, Massachusetts / R. MacPherson and H. Sah.
Series Title: Mathematical surveys and monographs, v. 37.
Responsibility: Leonard Lewin, editor.
More information:

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/23768560> # Structural properties of polylogarithms
    a schema:CreativeWork, schema:Book ;
    library:oclcnum "23768560" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/riu> ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/152315261#Place/providence_r_i> ; # Providence, R.I.
    schema:about <http://experiment.worldcat.org/entity/work/data/152315261#Topic/fonctions_logarithmes> ; # Fonctions logarithmes
    schema:about <http://experiment.worldcat.org/entity/work/data/152315261#Topic/logarithmic_functions> ; # Logarithmic functions
    schema:about <http://experiment.worldcat.org/entity/work/data/152315261#Topic/fonction_clausen> ; # Fonction Clausen
    schema:about <http://id.worldcat.org/fast/1001932> ; # Logarithmic functions
    schema:about <http://experiment.worldcat.org/entity/work/data/152315261#Topic/equation_fonctionnelle_kummer> ; # Equation fonctionnelle Kummer
    schema:about <http://experiment.worldcat.org/entity/work/data/152315261#Topic/polylogarithme> ; # Polylogarithme
    schema:about <http://experiment.worldcat.org/entity/work/data/152315261#Topic/hyperlogarithme> ; # Hyperlogarithme
    schema:about <http://dewey.info/class/512.922/e20/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/152315261#Topic/dilogarithme> ; # Dilogarithme
    schema:bookFormat bgn:PrintBook ;
    schema:contributor <http://viaf.org/viaf/110204817> ; # Leonard Lewin
    schema:copyrightYear "1991" ;
    schema:datePublished "1991" ;
    schema:description "The evolution of the ladder concept ; Dilogarithmic ladders / L. Lewin -- Polylogarithmic ladders ; Ladders in the trans-Kummer region ; Supernumary ladders / M. Abouzahra and L. Lewin -- Functional equations and ladders / L. Lewin -- Multivariable polylogarithm identities / G.A. Ray -- Functional equations of hyperlogarithms ; Kummer-type functional equations of polylogarithms / G. Wechsung -- The basic structure of polylogarithmic equations / Z. Wojtkowiak -- K-theory, cyclotomic equations and Clausen's function / J. Browkin -- Function theory of polylogarithms / S. Bloch -- Partition identities and dilogarithm / J.H. Loxton -- The dilogarithm and volumes of hyperbolic polytopes / R. Kellerhals -- Introduction to higher logarithms / R.M. Hain and R. MacPherson -- Some miscellaneous results / L. Lewin -- Appendix A : Special values and functional equations of polylogarithms / D. Zagier -- Appendix B : Summary of the Informal Polylogarithm Workshop, November 17-18, 1990, MIT, Cambridge, Massachusetts / R. MacPherson and H. Sah."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/152315261> ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://worldcat.org/issn/0076-5376> ; # Mathematical surveys and monographs ;
    schema:name "Structural properties of polylogarithms"@en ;
    schema:productID "23768560" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/23768560#PublicationEvent/providence_r_i_american_mathematical_society_1991> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/152315261#Agent/american_mathematical_society> ; # American Mathematical Society
    schema:url <http://www.gbv.de/dms/hbz/toc/ht003940928.pdf> ;
    schema:workExample <http://worldcat.org/isbn/9780821816349> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/23768560> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/152315261#Agent/american_mathematical_society> # American Mathematical Society
    a bgn:Agent ;
    schema:name "American Mathematical Society" ;
    .

<http://experiment.worldcat.org/entity/work/data/152315261#Place/providence_r_i> # Providence, R.I.
    a schema:Place ;
    schema:name "Providence, R.I." ;
    .

<http://experiment.worldcat.org/entity/work/data/152315261#Topic/equation_fonctionnelle_kummer> # Equation fonctionnelle Kummer
    a schema:Intangible ;
    schema:name "Equation fonctionnelle Kummer"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/152315261#Topic/fonctions_logarithmes> # Fonctions logarithmes
    a schema:Intangible ;
    schema:name "Fonctions logarithmes"@en ;
    schema:name "Fonctions logarithmes"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/152315261#Topic/logarithmic_functions> # Logarithmic functions
    a schema:Intangible ;
    schema:name "Logarithmic functions"@en ;
    .

<http://id.worldcat.org/fast/1001932> # Logarithmic functions
    a schema:Intangible ;
    schema:name "Logarithmic functions"@en ;
    .

<http://viaf.org/viaf/110204817> # Leonard Lewin
    a schema:Person ;
    schema:birthDate "1919" ;
    schema:deathDate "2007" ;
    schema:familyName "Lewin" ;
    schema:givenName "Leonard" ;
    schema:name "Leonard Lewin" ;
    .

<http://worldcat.org/isbn/9780821816349>
    a schema:ProductModel ;
    schema:isbn "0821816349" ;
    schema:isbn "9780821816349" ;
    .

<http://worldcat.org/issn/0076-5376> # Mathematical surveys and monographs ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/23768560> ; # Structural properties of polylogarithms
    schema:issn "0076-5376" ;
    schema:name "Mathematical surveys and monographs ;" ;
    schema:name "Mathematical surveys and monographs," ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.