Representation by sums of unlike powers
It is proved that all sufficiently large integers can be represented as where are positive integers. This improves upon the current record with fourteen variables in place of thirteen.
Gespeichert in:
Veröffentlicht in: | Journal für die reine und angewandte Mathematik 2021-12, Vol.2021 (781), p.19-55 |
---|---|
Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | 55 |
---|---|
container_issue | 781 |
container_start_page | 19 |
container_title | Journal für die reine und angewandte Mathematik |
container_volume | 2021 |
creator | Liu, Jianya Zhao, Lilu |
description | It is proved that all sufficiently large integers
can be represented as
where
are positive integers. This improves upon the current record
with fourteen variables in place of thirteen. |
doi_str_mv | 10.1515/crelle-2021-0048 |
format | Article |
fullrecord | <record><control><sourceid>walterdegruyter_webof</sourceid><recordid>TN_cdi_crossref_primary_10_1515_crelle_2021_0048</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>10_1515_crelle_2021_0048202178119</sourcerecordid><originalsourceid>FETCH-LOGICAL-c301t-fe8c43b4315d9301a5f62ce74547a32abbdcd5c5d7f29f4f8b78021c10457ef83</originalsourceid><addsrcrecordid>eNqNkE1Lw0AQhhdRsFbvHnPzINHZr256LEGrUBBEz8tmMyupabbsJpT-ezekeBM8zcswzzDPEHJL4YFKKh9twLbFnAGjOYAozsiMCi5zyYU8JzMAJXNBgV2Sqxi3ACCpYjNy9477gBG73vSN77LqmMVhFzPvsqFrm2_M9v6AIV6TC2faiDenOiefz08f5Uu-eVu_lqtNbjnQPndYWMErwamsl6ljpFswi0pIoQxnpqpqW0sra-XY0glXVKpIF1sKQip0BZ8TmPba4GMM6PQ-NDsTjpqCHkX1JKpHUT2KJuR-Qg5YeRdtg53FXyyZKrZQSTclYGm6-P902UxvKf3Q9QldnVDT9hhq_ArDMQW99UPo0lf-vHEMqqB0yX8A84t9Gw</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Representation by sums of unlike powers</title><source>De Gruyter journals</source><creator>Liu, Jianya ; Zhao, Lilu</creator><creatorcontrib>Liu, Jianya ; Zhao, Lilu</creatorcontrib><description>It is proved that all sufficiently large integers
can be represented as
where
are positive integers. This improves upon the current record
with fourteen variables in place of thirteen.</description><identifier>ISSN: 0075-4102</identifier><identifier>EISSN: 1435-5345</identifier><identifier>DOI: 10.1515/crelle-2021-0048</identifier><language>eng</language><publisher>BERLIN: De Gruyter</publisher><subject>Mathematics ; Physical Sciences ; Science & Technology</subject><ispartof>Journal für die reine und angewandte Mathematik, 2021-12, Vol.2021 (781), p.19-55</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>true</woscitedreferencessubscribed><woscitedreferencescount>3</woscitedreferencescount><woscitedreferencesoriginalsourcerecordid>wos000726705100002</woscitedreferencesoriginalsourcerecordid><citedby>FETCH-LOGICAL-c301t-fe8c43b4315d9301a5f62ce74547a32abbdcd5c5d7f29f4f8b78021c10457ef83</citedby><cites>FETCH-LOGICAL-c301t-fe8c43b4315d9301a5f62ce74547a32abbdcd5c5d7f29f4f8b78021c10457ef83</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.degruyter.com/document/doi/10.1515/crelle-2021-0048/pdf$$EPDF$$P50$$Gwalterdegruyter$$H</linktopdf><linktohtml>$$Uhttps://www.degruyter.com/document/doi/10.1515/crelle-2021-0048/html$$EHTML$$P50$$Gwalterdegruyter$$H</linktohtml><link.rule.ids>314,778,782,27907,27908,66505,68289</link.rule.ids></links><search><creatorcontrib>Liu, Jianya</creatorcontrib><creatorcontrib>Zhao, Lilu</creatorcontrib><title>Representation by sums of unlike powers</title><title>Journal für die reine und angewandte Mathematik</title><addtitle>J REINE ANGEW MATH</addtitle><description>It is proved that all sufficiently large integers
can be represented as
where
are positive integers. This improves upon the current record
with fourteen variables in place of thirteen.</description><subject>Mathematics</subject><subject>Physical Sciences</subject><subject>Science & Technology</subject><issn>0075-4102</issn><issn>1435-5345</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>HGBXW</sourceid><recordid>eNqNkE1Lw0AQhhdRsFbvHnPzINHZr256LEGrUBBEz8tmMyupabbsJpT-ezekeBM8zcswzzDPEHJL4YFKKh9twLbFnAGjOYAozsiMCi5zyYU8JzMAJXNBgV2Sqxi3ACCpYjNy9477gBG73vSN77LqmMVhFzPvsqFrm2_M9v6AIV6TC2faiDenOiefz08f5Uu-eVu_lqtNbjnQPndYWMErwamsl6ljpFswi0pIoQxnpqpqW0sra-XY0glXVKpIF1sKQip0BZ8TmPba4GMM6PQ-NDsTjpqCHkX1JKpHUT2KJuR-Qg5YeRdtg53FXyyZKrZQSTclYGm6-P902UxvKf3Q9QldnVDT9hhq_ArDMQW99UPo0lf-vHEMqqB0yX8A84t9Gw</recordid><startdate>20211201</startdate><enddate>20211201</enddate><creator>Liu, Jianya</creator><creator>Zhao, Lilu</creator><general>De Gruyter</general><general>Walter De Gruyter</general><scope>BLEPL</scope><scope>DTL</scope><scope>HGBXW</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20211201</creationdate><title>Representation by sums of unlike powers</title><author>Liu, Jianya ; Zhao, Lilu</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c301t-fe8c43b4315d9301a5f62ce74547a32abbdcd5c5d7f29f4f8b78021c10457ef83</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Mathematics</topic><topic>Physical Sciences</topic><topic>Science & Technology</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Liu, Jianya</creatorcontrib><creatorcontrib>Zhao, Lilu</creatorcontrib><collection>Web of Science Core Collection</collection><collection>Science Citation Index Expanded</collection><collection>Web of Science - Science Citation Index Expanded - 2021</collection><collection>CrossRef</collection><jtitle>Journal für die reine und angewandte Mathematik</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Liu, Jianya</au><au>Zhao, Lilu</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Representation by sums of unlike powers</atitle><jtitle>Journal für die reine und angewandte Mathematik</jtitle><stitle>J REINE ANGEW MATH</stitle><date>2021-12-01</date><risdate>2021</risdate><volume>2021</volume><issue>781</issue><spage>19</spage><epage>55</epage><pages>19-55</pages><issn>0075-4102</issn><eissn>1435-5345</eissn><abstract>It is proved that all sufficiently large integers
can be represented as
where
are positive integers. This improves upon the current record
with fourteen variables in place of thirteen.</abstract><cop>BERLIN</cop><pub>De Gruyter</pub><doi>10.1515/crelle-2021-0048</doi><tpages>37</tpages></addata></record> |
fulltext | fulltext |
identifier | ISSN: 0075-4102 |
ispartof | Journal für die reine und angewandte Mathematik, 2021-12, Vol.2021 (781), p.19-55 |
issn | 0075-4102 1435-5345 |
language | eng |
recordid | cdi_crossref_primary_10_1515_crelle_2021_0048 |
source | De Gruyter journals |
subjects | Mathematics Physical Sciences Science & Technology |
title | Representation by sums of unlike powers |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-16T20%3A04%3A37IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-walterdegruyter_webof&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Representation%20by%20sums%20of%20unlike%20powers&rft.jtitle=Journal%20f%C3%BCr%20die%20reine%20und%20angewandte%20Mathematik&rft.au=Liu,%20Jianya&rft.date=2021-12-01&rft.volume=2021&rft.issue=781&rft.spage=19&rft.epage=55&rft.pages=19-55&rft.issn=0075-4102&rft.eissn=1435-5345&rft_id=info:doi/10.1515/crelle-2021-0048&rft_dat=%3Cwalterdegruyter_webof%3E10_1515_crelle_2021_0048202178119%3C/walterdegruyter_webof%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |