Positive integer solutions of some Diophantine equations in terms of integer sequences View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2019-03

AUTHORS

Refik Keskin, Zafer Şiar

ABSTRACT

In this paper, we define some new number sequences, which we represent as (Bn),(bn),(yn) and present relations of these new sequences with each other. Then, we give all positive integer solutions of some Diophantine equations in terms of these new sequences.

PAGES

181-194

References to SciGraph publications

  • 1996. Algorithmic Manipulation of Fibonacci Identities in APPLICATIONS OF FIBONACCI NUMBERS
  • Journal

    TITLE

    Afrika Matematika

    ISSUE

    1-2

    VOLUME

    30

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s13370-018-0632-y

    DOI

    http://dx.doi.org/10.1007/s13370-018-0632-y

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1107295174


    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": "Sakarya University", 
              "id": "https://www.grid.ac/institutes/grid.49746.38", 
              "name": [
                "Department of Mathematics, Sakarya University, Sakarya, Turkey"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Keskin", 
            "givenName": "Refik", 
            "id": "sg:person.013710121773.05", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013710121773.05"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Bing\u00f6l University", 
              "id": "https://www.grid.ac/institutes/grid.448543.a", 
              "name": [
                "Department of Mathematics, Bing\u00f6l University, Bing\u00f6l, Turkey"
              ], 
              "type": "Organization"
            }, 
            "familyName": "\u015eiar", 
            "givenName": "Zafer", 
            "id": "sg:person.012231366401.51", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012231366401.51"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "https://doi.org/10.1016/j.camwa.2010.08.012", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1006214935"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/s0025-5718-1993-1192974-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1010942913"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1155/ijmms.2005.1189", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1033011396"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-94-009-0223-7_33", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1047573709", 
              "https://doi.org/10.1007/978-94-009-0223-7_33"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2307/3615257", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1102042299"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1080/0025570x.2003.11953176", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1103383500"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1080/00029890.1967.11999992", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1103434538"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2019-03", 
        "datePublishedReg": "2019-03-01", 
        "description": "In this paper, we define some new number sequences, which we represent as (Bn),(bn),(yn) and present relations of these new sequences with each other. Then, we give all positive integer solutions of some Diophantine equations in terms of these new sequences.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/s13370-018-0632-y", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1136820", 
            "issn": [
              "1012-9405", 
              "2190-7668"
            ], 
            "name": "Afrika Matematika", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "1-2", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "30"
          }
        ], 
        "name": "Positive integer solutions of some Diophantine equations in terms of integer sequences", 
        "pagination": "181-194", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "02e45e98591a84d59ef73143c4d2e30ebf33b3d310f13466d659972aa1140083"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/s13370-018-0632-y"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1107295174"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/s13370-018-0632-y", 
          "https://app.dimensions.ai/details/publication/pub.1107295174"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-11T12:52", 
        "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/v90/0000000364_0000000364/records_72834_00000001.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://link.springer.com/10.1007%2Fs13370-018-0632-y"
      }
    ]
     

    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/s13370-018-0632-y'

    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/s13370-018-0632-y'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s13370-018-0632-y'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s13370-018-0632-y'


     

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

    85 TRIPLES      20 PREDICATES      32 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/s13370-018-0632-y schema:author N72ec57e2aa9948b595857f84aca551ab
    2 schema:citation sg:pub.10.1007/978-94-009-0223-7_33
    3 https://doi.org/10.1016/j.camwa.2010.08.012
    4 https://doi.org/10.1080/00029890.1967.11999992
    5 https://doi.org/10.1080/0025570x.2003.11953176
    6 https://doi.org/10.1090/s0025-5718-1993-1192974-3
    7 https://doi.org/10.1155/ijmms.2005.1189
    8 https://doi.org/10.2307/3615257
    9 schema:datePublished 2019-03
    10 schema:datePublishedReg 2019-03-01
    11 schema:description In this paper, we define some new number sequences, which we represent as (Bn),(bn),(yn) and present relations of these new sequences with each other. Then, we give all positive integer solutions of some Diophantine equations in terms of these new sequences.
    12 schema:genre research_article
    13 schema:inLanguage en
    14 schema:isAccessibleForFree false
    15 schema:isPartOf N55fe85fbd00c4ad2ae62cc4759d7d2b4
    16 N5d7df5c68886491583deb9eac49ee298
    17 sg:journal.1136820
    18 schema:name Positive integer solutions of some Diophantine equations in terms of integer sequences
    19 schema:pagination 181-194
    20 schema:productId N601ec4505dd74b4ea74b67febdfc002f
    21 N602db3b25a7e498294c3ecac672fb2aa
    22 N6493b7babdd445f092e342e0efddf948
    23 schema:sameAs https://app.dimensions.ai/details/publication/pub.1107295174
    24 https://doi.org/10.1007/s13370-018-0632-y
    25 schema:sdDatePublished 2019-04-11T12:52
    26 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    27 schema:sdPublisher Nf80bf04bc7e74e2ea1280047131bd531
    28 schema:url https://link.springer.com/10.1007%2Fs13370-018-0632-y
    29 sgo:license sg:explorer/license/
    30 sgo:sdDataset articles
    31 rdf:type schema:ScholarlyArticle
    32 N55fe85fbd00c4ad2ae62cc4759d7d2b4 schema:volumeNumber 30
    33 rdf:type schema:PublicationVolume
    34 N5d7df5c68886491583deb9eac49ee298 schema:issueNumber 1-2
    35 rdf:type schema:PublicationIssue
    36 N601ec4505dd74b4ea74b67febdfc002f schema:name doi
    37 schema:value 10.1007/s13370-018-0632-y
    38 rdf:type schema:PropertyValue
    39 N602db3b25a7e498294c3ecac672fb2aa schema:name dimensions_id
    40 schema:value pub.1107295174
    41 rdf:type schema:PropertyValue
    42 N6493b7babdd445f092e342e0efddf948 schema:name readcube_id
    43 schema:value 02e45e98591a84d59ef73143c4d2e30ebf33b3d310f13466d659972aa1140083
    44 rdf:type schema:PropertyValue
    45 N72ec57e2aa9948b595857f84aca551ab rdf:first sg:person.013710121773.05
    46 rdf:rest N8e6d93c9fe7c4590a572660727a9e923
    47 N8e6d93c9fe7c4590a572660727a9e923 rdf:first sg:person.012231366401.51
    48 rdf:rest rdf:nil
    49 Nf80bf04bc7e74e2ea1280047131bd531 schema:name Springer Nature - SN SciGraph project
    50 rdf:type schema:Organization
    51 sg:journal.1136820 schema:issn 1012-9405
    52 2190-7668
    53 schema:name Afrika Matematika
    54 rdf:type schema:Periodical
    55 sg:person.012231366401.51 schema:affiliation https://www.grid.ac/institutes/grid.448543.a
    56 schema:familyName Şiar
    57 schema:givenName Zafer
    58 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012231366401.51
    59 rdf:type schema:Person
    60 sg:person.013710121773.05 schema:affiliation https://www.grid.ac/institutes/grid.49746.38
    61 schema:familyName Keskin
    62 schema:givenName Refik
    63 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013710121773.05
    64 rdf:type schema:Person
    65 sg:pub.10.1007/978-94-009-0223-7_33 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047573709
    66 https://doi.org/10.1007/978-94-009-0223-7_33
    67 rdf:type schema:CreativeWork
    68 https://doi.org/10.1016/j.camwa.2010.08.012 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006214935
    69 rdf:type schema:CreativeWork
    70 https://doi.org/10.1080/00029890.1967.11999992 schema:sameAs https://app.dimensions.ai/details/publication/pub.1103434538
    71 rdf:type schema:CreativeWork
    72 https://doi.org/10.1080/0025570x.2003.11953176 schema:sameAs https://app.dimensions.ai/details/publication/pub.1103383500
    73 rdf:type schema:CreativeWork
    74 https://doi.org/10.1090/s0025-5718-1993-1192974-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010942913
    75 rdf:type schema:CreativeWork
    76 https://doi.org/10.1155/ijmms.2005.1189 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033011396
    77 rdf:type schema:CreativeWork
    78 https://doi.org/10.2307/3615257 schema:sameAs https://app.dimensions.ai/details/publication/pub.1102042299
    79 rdf:type schema:CreativeWork
    80 https://www.grid.ac/institutes/grid.448543.a schema:alternateName Bingöl University
    81 schema:name Department of Mathematics, Bingöl University, Bingöl, Turkey
    82 rdf:type schema:Organization
    83 https://www.grid.ac/institutes/grid.49746.38 schema:alternateName Sakarya University
    84 schema:name Department of Mathematics, Sakarya University, Sakarya, Turkey
    85 rdf:type schema:Organization
     




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


    ...