Skip to content
TUM Library
OPAC
Universitätsbibliothek
Technische Universität München
  • Temporarily saved: 0 temporarily saved (Full)
  • Help
    • Contact
    • Search Tips
    • Interlibary loan info
  • Chat
  • Tools
    • Search History
    • Open Interlibary Loan
    • Recommend a Purchase
  • Deutsch
  • Account

    Account

    • Borrowed Items
    • Requested Items
    • Fees
    • Profile
    • Search History
  • Log Out
  • Login
  • Books & Journals
  • Papers
Advanced
  • Analytic number theory
  • Cite this
  • Email this
  • Print
  • Export Record
    • Export to RefWorks
    • Export to EndNoteWeb
    • Export to EndNote
    • Export to BibTeX
    • Export to RIS
  • Add to favorites
  • Save temporarily Remove from Book Bag
  • Permalink
Cover Image
Analytic number theory: exploring the anatomy of integers
Saved in:
Bibliographic Details
Main Authors: Koninck, Jean-Marie de 1948- (Author), Luca, Florian 1969- (Author)
Format: Electronic eBook
Language:English
Published: Providence, Rhode Island American Mathematical Society [2012]
Series:Graduate studies in mathematics volume 134
Subjects:
Number theory
Euclidean algorithm
Integrals
Number theory > Elementary number theory > Multiplicative structure; Euclidean algorithm; greatest common divisors
Number theory > Elementary number theory > Primes
Number theory > Sequences and sets > Density, gaps, topology
Number theory > Sequences and sets > Fibonacci and Lucas numbers and polynomials and generalizations
Number theory > Probabilistic theory: distribution modulo 1; metric theory of algorithms > Arithmetic functions
Number theory > Multiplicative number theory > Distribution of primes
Number theory > Multiplicative number theory > Primes in progressions
Number theory > Multiplicative number theory > Sieves
Number theory > Multiplicative number theory > Asymptotic results on arithmetic functions
Number theory > Multiplicative number theory > Distribution functions associated with additive and positive multiplicative functions
Analytische Zahlentheorie
Links:https://doi.org/10.1090/gsm/134
https://doi.org/10.1090/gsm/134
https://doi.org/10.1090/gsm/134
Physical Description:1 Online-Ressource (xviii, 414 Seiten)
ISBN:9780821885413
DOI:10.1090/gsm/134
Staff View

MARC

LEADER 00000nam a2200000 cb4500
001 BV044218863
003 DE-604
005 20210118
007 cr|uuu---uuuuu
008 170310s2012 xxu o|||| 00||| eng d
020 |a 9780821885413  |c online  |9 978-0-8218-8541-3 
024 7 |a 10.1090/gsm/134  |2 doi 
035 |a (OCoLC)976427021 
035 |a (DE-599)BVBBV044218863 
040 |a DE-604  |b ger  |e rda 
041 0 |a eng 
044 |a xxu  |c US 
049 |a DE-355  |a DE-19  |a DE-83  |a DE-11 
050 0 |a QA241 
082 0 |a 512.7/4 
084 |a SK 180  |0 (DE-625)143222:  |2 rvk 
084 |a 11A41  |2 msc 
084 |a 11N05  |2 msc 
100 1 |a Koninck, Jean-Marie de  |d 1948-  |e Verfasser  |0 (DE-588)141191112  |4 aut 
245 1 0 |a Analytic number theory  |b exploring the anatomy of integers  |c Jean-Marie De Koninck, Université Laval, Quebec, QC, Canada and Florian Luca, Universidad Nacional Autonoma de México, Morelia, Michoacan, México 
264 1 |a Providence, Rhode Island  |b American Mathematical Society  |c [2012] 
264 4 |c © 2012 
300 |a 1 Online-Ressource (xviii, 414 Seiten) 
336 |b txt  |2 rdacontent 
337 |b c  |2 rdamedia 
338 |b cr  |2 rdacarrier 
490 1 |a Graduate studies in mathematics  |v volume 134 
650 4 |a Number theory 
650 4 |a Euclidean algorithm 
650 4 |a Integrals 
650 7 |a Number theory -- Elementary number theory -- Multiplicative structure; Euclidean algorithm; greatest common divisors  |2 msc 
650 7 |a Number theory -- Elementary number theory -- Primes  |2 msc 
650 7 |a Number theory -- Sequences and sets -- Density, gaps, topology  |2 msc 
650 7 |a Number theory -- Sequences and sets -- Fibonacci and Lucas numbers and polynomials and generalizations  |2 msc 
650 7 |a Number theory -- Probabilistic theory: distribution modulo 1; metric theory of algorithms -- Arithmetic functions  |2 msc 
650 7 |a Number theory -- Multiplicative number theory -- Distribution of primes  |2 msc 
650 7 |a Number theory -- Multiplicative number theory -- Primes in progressions  |2 msc 
650 7 |a Number theory -- Multiplicative number theory -- Sieves  |2 msc 
650 7 |a Number theory -- Multiplicative number theory -- Asymptotic results on arithmetic functions  |2 msc 
650 7 |a Number theory -- Multiplicative number theory -- Distribution functions associated with additive and positive multiplicative functions  |2 msc 
650 0 7 |a Analytische Zahlentheorie  |0 (DE-588)4001870-2  |2 gnd  |9 rswk-swf 
689 0 0 |a Analytische Zahlentheorie  |0 (DE-588)4001870-2  |D s 
689 0 |5 DE-604 
700 1 |a Luca, Florian  |d 1969-  |e Verfasser  |0 (DE-588)1025704193  |4 aut 
776 0 8 |i Erscheint auch als  |n Druck-Ausgabe  |z 978-0-8218-7577-3 
830 0 |a Graduate studies in mathematics  |v volume 134  |w (DE-604)BV044714883  |9 134 
856 4 0 |u https://doi.org/10.1090/gsm/134  |x Verlag  |z URL des Erstveröffentlichers  |3 Volltext 
912 |a ZDB-138-AMR 
943 1 |a oai:aleph.bib-bvb.de:BVB01-029624894 
966 e |u https://doi.org/10.1090/gsm/134  |l DE-19  |p ZDB-138-AMR  |x Verlag  |3 Volltext 
966 e |u https://doi.org/10.1090/gsm/134  |l DE-355  |p ZDB-138-AMR  |x Verlag  |3 Volltext 

Record in the Search Index

_version_ 1818983060025114624
any_adam_object
author Koninck, Jean-Marie de 1948-
Luca, Florian 1969-
author_GND (DE-588)141191112
(DE-588)1025704193
author_facet Koninck, Jean-Marie de 1948-
Luca, Florian 1969-
author_role aut
aut
author_sort Koninck, Jean-Marie de 1948-
author_variant j m d k jmd jmdk
f l fl
building Verbundindex
bvnumber BV044218863
callnumber-first Q - Science
callnumber-label QA241
callnumber-raw QA241
callnumber-search QA241
callnumber-sort QA 3241
callnumber-subject QA - Mathematics
classification_rvk SK 180
collection ZDB-138-AMR
ctrlnum (OCoLC)976427021
(DE-599)BVBBV044218863
dewey-full 512.7/4
dewey-hundreds 500 - Natural sciences and mathematics
dewey-ones 512 - Algebra
dewey-raw 512.7/4
dewey-search 512.7/4
dewey-sort 3512.7 14
dewey-tens 510 - Mathematics
discipline Mathematik
doi_str_mv 10.1090/gsm/134
format Electronic
eBook
fullrecord <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03146nam a2200637 cb4500</leader><controlfield tag="001">BV044218863</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20210118 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">170310s2012 xxu o|||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780821885413</subfield><subfield code="c">online</subfield><subfield code="9">978-0-8218-8541-3</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1090/gsm/134</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)976427021</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV044218863</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA241</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512.7/4</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 180</subfield><subfield code="0">(DE-625)143222:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">11A41</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">11N05</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Koninck, Jean-Marie de</subfield><subfield code="d">1948-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)141191112</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Analytic number theory</subfield><subfield code="b">exploring the anatomy of integers</subfield><subfield code="c">Jean-Marie De Koninck, Université Laval, Quebec, QC, Canada and Florian Luca, Universidad Nacional Autonoma de México, Morelia, Michoacan, México</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, Rhode Island</subfield><subfield code="b">American Mathematical Society</subfield><subfield code="c">[2012]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2012</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xviii, 414 Seiten)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Graduate studies in mathematics</subfield><subfield code="v">volume 134</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Number theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Euclidean algorithm</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Integrals</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Number theory -- Elementary number theory -- Multiplicative structure; Euclidean algorithm; greatest common divisors</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Number theory -- Elementary number theory -- Primes</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Number theory -- Sequences and sets -- Density, gaps, topology</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Number theory -- Sequences and sets -- Fibonacci and Lucas numbers and polynomials and generalizations</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Number theory -- Probabilistic theory: distribution modulo 1; metric theory of algorithms -- Arithmetic functions</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Number theory -- Multiplicative number theory -- Distribution of primes</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Number theory -- Multiplicative number theory -- Primes in progressions</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Number theory -- Multiplicative number theory -- Sieves</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Number theory -- Multiplicative number theory -- Asymptotic results on arithmetic functions</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Number theory -- Multiplicative number theory -- Distribution functions associated with additive and positive multiplicative functions</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Analytische Zahlentheorie</subfield><subfield code="0">(DE-588)4001870-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Analytische Zahlentheorie</subfield><subfield code="0">(DE-588)4001870-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Luca, Florian</subfield><subfield code="d">1969-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1025704193</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">978-0-8218-7577-3</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Graduate studies in mathematics</subfield><subfield code="v">volume 134</subfield><subfield code="w">(DE-604)BV044714883</subfield><subfield code="9">134</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1090/gsm/134</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-138-AMR</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029624894</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1090/gsm/134</subfield><subfield code="l">DE-19</subfield><subfield code="p">ZDB-138-AMR</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1090/gsm/134</subfield><subfield code="l">DE-355</subfield><subfield code="p">ZDB-138-AMR</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection>
id DE-604.BV044218863
illustrated Not Illustrated
indexdate 2024-12-20T17:57:06Z
institution BVB
isbn 9780821885413
language English
oai_aleph_id oai:aleph.bib-bvb.de:BVB01-029624894
oclc_num 976427021
open_access_boolean
owner DE-355
DE-BY-UBR
DE-19
DE-BY-UBM
DE-83
DE-11
owner_facet DE-355
DE-BY-UBR
DE-19
DE-BY-UBM
DE-83
DE-11
physical 1 Online-Ressource (xviii, 414 Seiten)
psigel ZDB-138-AMR
publishDate 2012
publishDateSearch 2012
publishDateSort 2012
publisher American Mathematical Society
record_format marc
series Graduate studies in mathematics
series2 Graduate studies in mathematics
spelling Koninck, Jean-Marie de 1948- Verfasser (DE-588)141191112 aut
Analytic number theory exploring the anatomy of integers Jean-Marie De Koninck, Université Laval, Quebec, QC, Canada and Florian Luca, Universidad Nacional Autonoma de México, Morelia, Michoacan, México
Providence, Rhode Island American Mathematical Society [2012]
© 2012
1 Online-Ressource (xviii, 414 Seiten)
txt rdacontent
c rdamedia
cr rdacarrier
Graduate studies in mathematics volume 134
Number theory
Euclidean algorithm
Integrals
Number theory -- Elementary number theory -- Multiplicative structure; Euclidean algorithm; greatest common divisors msc
Number theory -- Elementary number theory -- Primes msc
Number theory -- Sequences and sets -- Density, gaps, topology msc
Number theory -- Sequences and sets -- Fibonacci and Lucas numbers and polynomials and generalizations msc
Number theory -- Probabilistic theory: distribution modulo 1; metric theory of algorithms -- Arithmetic functions msc
Number theory -- Multiplicative number theory -- Distribution of primes msc
Number theory -- Multiplicative number theory -- Primes in progressions msc
Number theory -- Multiplicative number theory -- Sieves msc
Number theory -- Multiplicative number theory -- Asymptotic results on arithmetic functions msc
Number theory -- Multiplicative number theory -- Distribution functions associated with additive and positive multiplicative functions msc
Analytische Zahlentheorie (DE-588)4001870-2 gnd rswk-swf
Analytische Zahlentheorie (DE-588)4001870-2 s
DE-604
Luca, Florian 1969- Verfasser (DE-588)1025704193 aut
Erscheint auch als Druck-Ausgabe 978-0-8218-7577-3
Graduate studies in mathematics volume 134 (DE-604)BV044714883 134
https://doi.org/10.1090/gsm/134 Verlag URL des Erstveröffentlichers Volltext
spellingShingle Koninck, Jean-Marie de 1948-
Luca, Florian 1969-
Analytic number theory exploring the anatomy of integers
Graduate studies in mathematics
Number theory
Euclidean algorithm
Integrals
Number theory -- Elementary number theory -- Multiplicative structure; Euclidean algorithm; greatest common divisors msc
Number theory -- Elementary number theory -- Primes msc
Number theory -- Sequences and sets -- Density, gaps, topology msc
Number theory -- Sequences and sets -- Fibonacci and Lucas numbers and polynomials and generalizations msc
Number theory -- Probabilistic theory: distribution modulo 1; metric theory of algorithms -- Arithmetic functions msc
Number theory -- Multiplicative number theory -- Distribution of primes msc
Number theory -- Multiplicative number theory -- Primes in progressions msc
Number theory -- Multiplicative number theory -- Sieves msc
Number theory -- Multiplicative number theory -- Asymptotic results on arithmetic functions msc
Number theory -- Multiplicative number theory -- Distribution functions associated with additive and positive multiplicative functions msc
Analytische Zahlentheorie (DE-588)4001870-2 gnd
subject_GND (DE-588)4001870-2
title Analytic number theory exploring the anatomy of integers
title_auth Analytic number theory exploring the anatomy of integers
title_exact_search Analytic number theory exploring the anatomy of integers
title_full Analytic number theory exploring the anatomy of integers Jean-Marie De Koninck, Université Laval, Quebec, QC, Canada and Florian Luca, Universidad Nacional Autonoma de México, Morelia, Michoacan, México
title_fullStr Analytic number theory exploring the anatomy of integers Jean-Marie De Koninck, Université Laval, Quebec, QC, Canada and Florian Luca, Universidad Nacional Autonoma de México, Morelia, Michoacan, México
title_full_unstemmed Analytic number theory exploring the anatomy of integers Jean-Marie De Koninck, Université Laval, Quebec, QC, Canada and Florian Luca, Universidad Nacional Autonoma de México, Morelia, Michoacan, México
title_short Analytic number theory
title_sort analytic number theory exploring the anatomy of integers
title_sub exploring the anatomy of integers
topic Number theory
Euclidean algorithm
Integrals
Number theory -- Elementary number theory -- Multiplicative structure; Euclidean algorithm; greatest common divisors msc
Number theory -- Elementary number theory -- Primes msc
Number theory -- Sequences and sets -- Density, gaps, topology msc
Number theory -- Sequences and sets -- Fibonacci and Lucas numbers and polynomials and generalizations msc
Number theory -- Probabilistic theory: distribution modulo 1; metric theory of algorithms -- Arithmetic functions msc
Number theory -- Multiplicative number theory -- Distribution of primes msc
Number theory -- Multiplicative number theory -- Primes in progressions msc
Number theory -- Multiplicative number theory -- Sieves msc
Number theory -- Multiplicative number theory -- Asymptotic results on arithmetic functions msc
Number theory -- Multiplicative number theory -- Distribution functions associated with additive and positive multiplicative functions msc
Analytische Zahlentheorie (DE-588)4001870-2 gnd
topic_facet Number theory
Euclidean algorithm
Integrals
Number theory -- Elementary number theory -- Multiplicative structure; Euclidean algorithm; greatest common divisors
Number theory -- Elementary number theory -- Primes
Number theory -- Sequences and sets -- Density, gaps, topology
Number theory -- Sequences and sets -- Fibonacci and Lucas numbers and polynomials and generalizations
Number theory -- Probabilistic theory: distribution modulo 1; metric theory of algorithms -- Arithmetic functions
Number theory -- Multiplicative number theory -- Distribution of primes
Number theory -- Multiplicative number theory -- Primes in progressions
Number theory -- Multiplicative number theory -- Sieves
Number theory -- Multiplicative number theory -- Asymptotic results on arithmetic functions
Number theory -- Multiplicative number theory -- Distribution functions associated with additive and positive multiplicative functions
Analytische Zahlentheorie
url https://doi.org/10.1090/gsm/134
volume_link (DE-604)BV044714883
work_keys_str_mv AT koninckjeanmariede analyticnumbertheoryexploringtheanatomyofintegers
AT lucaflorian analyticnumbertheoryexploringtheanatomyofintegers
  • Availability

‌

Order via interlibrary loan Read online (LMU)

Available at the library of LMU.

  • Legal Notice
  • Data Privacy
  • Accessibility Statement
  • First Level Hotline