An effective bound for the partition function View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2019-03

AUTHORS

Narissara Khaochim, Riad Masri, Wei-Lun Tsai

ABSTRACT

We use the Bruinier–Ono formula to give an asymptotic formula for the partition function p(n) with an effective bound on the error term.

PAGES

14

References to SciGraph publications

Journal

TITLE

Research in Number Theory

ISSUE

1

VOLUME

5

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s40993-019-0151-4

DOI

http://dx.doi.org/10.1007/s40993-019-0151-4

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1111660690


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "author": [
      {
        "affiliation": {
          "alternateName": "Texas A&M University", 
          "id": "https://www.grid.ac/institutes/grid.264756.4", 
          "name": [
            "Texas A&M University, College Station, TX, USA"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Khaochim", 
        "givenName": "Narissara", 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Texas A&M University", 
          "id": "https://www.grid.ac/institutes/grid.264756.4", 
          "name": [
            "Texas A&M University, College Station, TX, USA"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Masri", 
        "givenName": "Riad", 
        "id": "sg:person.0717644044.71", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0717644044.71"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Texas A&M University", 
          "id": "https://www.grid.ac/institutes/grid.264756.4", 
          "name": [
            "Texas A&M University, College Station, TX, USA"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Tsai", 
        "givenName": "Wei-Lun", 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1016/j.aim.2015.11.011", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1000771489"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1112/plms/s2-43.4.241", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1009388005"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01458081", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1026477938", 
          "https://doi.org/10.1007/bf01458081"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01458081", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1026477938", 
          "https://doi.org/10.1007/bf01458081"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.aim.2013.05.028", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1027794400"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/s0002-9947-1939-0000410-9", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1027829321"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/s0002-9939-2012-11458-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049439849"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.jnt.2015.07.002", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049742329"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.jnt.2015.07.002", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049742329"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.jnt.2015.07.002", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049742329"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.jnt.2015.07.002", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049742329"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s10440-017-0099-0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1085428172", 
          "https://doi.org/10.1007/s10440-017-0099-0"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s10440-017-0099-0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1085428172", 
          "https://doi.org/10.1007/s10440-017-0099-0"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1017/9781108332699.004", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1090835915"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/gsm/053", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1098710048"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11139-018-0031-x", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1106334791", 
          "https://doi.org/10.1007/s11139-018-0031-x"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2019-03", 
    "datePublishedReg": "2019-03-01", 
    "description": "We use the Bruinier\u2013Ono formula to give an asymptotic formula for the partition function p(n) with an effective bound on the error term.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/s40993-019-0151-4", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1053185", 
        "issn": [
          "2522-0160", 
          "2363-9555"
        ], 
        "name": "Research in Number Theory", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "1", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "5"
      }
    ], 
    "name": "An effective bound for the partition function", 
    "pagination": "14", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "9b4295cf16815ae5b9ab6eb443b70114801a6fb34cfbe98d8bf3a6338ad19ff9"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s40993-019-0151-4"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1111660690"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s40993-019-0151-4", 
      "https://app.dimensions.ai/details/publication/pub.1111660690"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T08:56", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000325_0000000325/records_100788_00000000.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://link.springer.com/10.1007%2Fs40993-019-0151-4"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/s40993-019-0151-4'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/s40993-019-0151-4'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s40993-019-0151-4'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s40993-019-0151-4'


 

This table displays all metadata directly associated to this object as RDF triples.

101 TRIPLES      20 PREDICATES      36 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s40993-019-0151-4 schema:author N946f36c2cd1f45c4808f2ee52926fbd0
2 schema:citation sg:pub.10.1007/bf01458081
3 sg:pub.10.1007/s10440-017-0099-0
4 sg:pub.10.1007/s11139-018-0031-x
5 https://doi.org/10.1016/j.aim.2013.05.028
6 https://doi.org/10.1016/j.aim.2015.11.011
7 https://doi.org/10.1016/j.jnt.2015.07.002
8 https://doi.org/10.1017/9781108332699.004
9 https://doi.org/10.1090/gsm/053
10 https://doi.org/10.1090/s0002-9939-2012-11458-3
11 https://doi.org/10.1090/s0002-9947-1939-0000410-9
12 https://doi.org/10.1112/plms/s2-43.4.241
13 schema:datePublished 2019-03
14 schema:datePublishedReg 2019-03-01
15 schema:description We use the Bruinier–Ono formula to give an asymptotic formula for the partition function p(n) with an effective bound on the error term.
16 schema:genre research_article
17 schema:inLanguage en
18 schema:isAccessibleForFree false
19 schema:isPartOf N526255fce5244b7f8291fea868741e85
20 Nb766a1607b024244815891bd66959f18
21 sg:journal.1053185
22 schema:name An effective bound for the partition function
23 schema:pagination 14
24 schema:productId Nb191afb263f343c591b2c293f8d26a45
25 Nf0ab711036c84eb5b6940879422010ca
26 Nf20a9f31d95241ebb5ce1da8910316f3
27 schema:sameAs https://app.dimensions.ai/details/publication/pub.1111660690
28 https://doi.org/10.1007/s40993-019-0151-4
29 schema:sdDatePublished 2019-04-11T08:56
30 schema:sdLicense https://scigraph.springernature.com/explorer/license/
31 schema:sdPublisher Nf13b6f3ee5e2496d9829ca9e438ccfa9
32 schema:url https://link.springer.com/10.1007%2Fs40993-019-0151-4
33 sgo:license sg:explorer/license/
34 sgo:sdDataset articles
35 rdf:type schema:ScholarlyArticle
36 N526255fce5244b7f8291fea868741e85 schema:volumeNumber 5
37 rdf:type schema:PublicationVolume
38 N946f36c2cd1f45c4808f2ee52926fbd0 rdf:first Nb337705f128a4858bb26b6ad1408fea3
39 rdf:rest Ncf1853a707df4ab18772a06b80d3df5b
40 Nb191afb263f343c591b2c293f8d26a45 schema:name doi
41 schema:value 10.1007/s40993-019-0151-4
42 rdf:type schema:PropertyValue
43 Nb337705f128a4858bb26b6ad1408fea3 schema:affiliation https://www.grid.ac/institutes/grid.264756.4
44 schema:familyName Khaochim
45 schema:givenName Narissara
46 rdf:type schema:Person
47 Nb766a1607b024244815891bd66959f18 schema:issueNumber 1
48 rdf:type schema:PublicationIssue
49 Nb8d2f8264d6c4a94ad0ff4c06f95f057 schema:affiliation https://www.grid.ac/institutes/grid.264756.4
50 schema:familyName Tsai
51 schema:givenName Wei-Lun
52 rdf:type schema:Person
53 Ncf1853a707df4ab18772a06b80d3df5b rdf:first sg:person.0717644044.71
54 rdf:rest Nde8f413190104530a1cfd37b070527fc
55 Nde8f413190104530a1cfd37b070527fc rdf:first Nb8d2f8264d6c4a94ad0ff4c06f95f057
56 rdf:rest rdf:nil
57 Nf0ab711036c84eb5b6940879422010ca schema:name dimensions_id
58 schema:value pub.1111660690
59 rdf:type schema:PropertyValue
60 Nf13b6f3ee5e2496d9829ca9e438ccfa9 schema:name Springer Nature - SN SciGraph project
61 rdf:type schema:Organization
62 Nf20a9f31d95241ebb5ce1da8910316f3 schema:name readcube_id
63 schema:value 9b4295cf16815ae5b9ab6eb443b70114801a6fb34cfbe98d8bf3a6338ad19ff9
64 rdf:type schema:PropertyValue
65 sg:journal.1053185 schema:issn 2363-9555
66 2522-0160
67 schema:name Research in Number Theory
68 rdf:type schema:Periodical
69 sg:person.0717644044.71 schema:affiliation https://www.grid.ac/institutes/grid.264756.4
70 schema:familyName Masri
71 schema:givenName Riad
72 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0717644044.71
73 rdf:type schema:Person
74 sg:pub.10.1007/bf01458081 schema:sameAs https://app.dimensions.ai/details/publication/pub.1026477938
75 https://doi.org/10.1007/bf01458081
76 rdf:type schema:CreativeWork
77 sg:pub.10.1007/s10440-017-0099-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1085428172
78 https://doi.org/10.1007/s10440-017-0099-0
79 rdf:type schema:CreativeWork
80 sg:pub.10.1007/s11139-018-0031-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1106334791
81 https://doi.org/10.1007/s11139-018-0031-x
82 rdf:type schema:CreativeWork
83 https://doi.org/10.1016/j.aim.2013.05.028 schema:sameAs https://app.dimensions.ai/details/publication/pub.1027794400
84 rdf:type schema:CreativeWork
85 https://doi.org/10.1016/j.aim.2015.11.011 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000771489
86 rdf:type schema:CreativeWork
87 https://doi.org/10.1016/j.jnt.2015.07.002 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049742329
88 rdf:type schema:CreativeWork
89 https://doi.org/10.1017/9781108332699.004 schema:sameAs https://app.dimensions.ai/details/publication/pub.1090835915
90 rdf:type schema:CreativeWork
91 https://doi.org/10.1090/gsm/053 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098710048
92 rdf:type schema:CreativeWork
93 https://doi.org/10.1090/s0002-9939-2012-11458-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049439849
94 rdf:type schema:CreativeWork
95 https://doi.org/10.1090/s0002-9947-1939-0000410-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1027829321
96 rdf:type schema:CreativeWork
97 https://doi.org/10.1112/plms/s2-43.4.241 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009388005
98 rdf:type schema:CreativeWork
99 https://www.grid.ac/institutes/grid.264756.4 schema:alternateName Texas A&M University
100 schema:name Texas A&M University, College Station, TX, USA
101 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...