Divisor Problem and an Analogue of Euler's Summation Formula
By simple elementary method,we obtain with ease,a highly simple expression for the remainder term of the divisor problem and use it to obtain an Euler-Maclaurin analogue of summation involving divisor function.We also obtain a relation connecting the remainder term of the divisor problem and the rem...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | |
| container_volume | |
| creator | Rane, Vivek V |
| description | By simple elementary method,we obtain with ease,a highly simple expression
for the remainder term of the divisor problem and use it to obtain an
Euler-Maclaurin analogue of summation involving divisor function.We also obtain
a relation connecting the remainder term of the divisor problem and the
remainders of approximate functional equations for Riemann zeta function and
its square,for positive values of arguments. |
| doi_str_mv | 10.48550/arxiv.0809.1854 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_0809_1854</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>0809_1854</sourcerecordid><originalsourceid>FETCH-LOGICAL-a654-650312037223e4380811d8c95193cc6db1527f80676e831e9959c3ae4accd50c3</originalsourceid><addsrcrecordid>eNotj7FOwzAURb0wVIW9E_LGlPCcZzu2xFKVFpAqgUT36NVxkCU7Rg6p4O-hwHB0t6N7GFsJqKVRCm6pfIZTDQZsLYySC3Z3H05hyoW_lHyMPnEa-x_4eqSY32bP88C3c_TlZuKvc0r0EfLId7mkOdIluxgoTv7qf5fssNseNo_V_vnhabPeV6SVrLQCFA1g2zToJRowQvTGWSUsOqf7o1BNOxjQrfYGhbdWWYfkJTnXK3C4ZNd_2t_33XsJicpXd67ozhX4DYi9QCY</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Divisor Problem and an Analogue of Euler's Summation Formula</title><source>arXiv.org</source><creator>Rane, Vivek V</creator><creatorcontrib>Rane, Vivek V</creatorcontrib><description>By simple elementary method,we obtain with ease,a highly simple expression
for the remainder term of the divisor problem and use it to obtain an
Euler-Maclaurin analogue of summation involving divisor function.We also obtain
a relation connecting the remainder term of the divisor problem and the
remainders of approximate functional equations for Riemann zeta function and
its square,for positive values of arguments.</description><identifier>DOI: 10.48550/arxiv.0809.1854</identifier><language>eng</language><subject>Mathematics - Number Theory</subject><creationdate>2008-09</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/0809.1854$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.0809.1854$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Rane, Vivek V</creatorcontrib><title>Divisor Problem and an Analogue of Euler's Summation Formula</title><description>By simple elementary method,we obtain with ease,a highly simple expression
for the remainder term of the divisor problem and use it to obtain an
Euler-Maclaurin analogue of summation involving divisor function.We also obtain
a relation connecting the remainder term of the divisor problem and the
remainders of approximate functional equations for Riemann zeta function and
its square,for positive values of arguments.</description><subject>Mathematics - Number Theory</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2008</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj7FOwzAURb0wVIW9E_LGlPCcZzu2xFKVFpAqgUT36NVxkCU7Rg6p4O-hwHB0t6N7GFsJqKVRCm6pfIZTDQZsLYySC3Z3H05hyoW_lHyMPnEa-x_4eqSY32bP88C3c_TlZuKvc0r0EfLId7mkOdIluxgoTv7qf5fssNseNo_V_vnhabPeV6SVrLQCFA1g2zToJRowQvTGWSUsOqf7o1BNOxjQrfYGhbdWWYfkJTnXK3C4ZNd_2t_33XsJicpXd67ozhX4DYi9QCY</recordid><startdate>20080910</startdate><enddate>20080910</enddate><creator>Rane, Vivek V</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20080910</creationdate><title>Divisor Problem and an Analogue of Euler's Summation Formula</title><author>Rane, Vivek V</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a654-650312037223e4380811d8c95193cc6db1527f80676e831e9959c3ae4accd50c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2008</creationdate><topic>Mathematics - Number Theory</topic><toplevel>online_resources</toplevel><creatorcontrib>Rane, Vivek V</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Rane, Vivek V</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Divisor Problem and an Analogue of Euler's Summation Formula</atitle><date>2008-09-10</date><risdate>2008</risdate><abstract>By simple elementary method,we obtain with ease,a highly simple expression
for the remainder term of the divisor problem and use it to obtain an
Euler-Maclaurin analogue of summation involving divisor function.We also obtain
a relation connecting the remainder term of the divisor problem and the
remainders of approximate functional equations for Riemann zeta function and
its square,for positive values of arguments.</abstract><doi>10.48550/arxiv.0809.1854</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | DOI: 10.48550/arxiv.0809.1854 |
| ispartof | |
| issn | |
| language | eng |
| recordid | cdi_arxiv_primary_0809_1854 |
| source | arXiv.org |
| subjects | Mathematics - Number Theory |
| title | Divisor Problem and an Analogue of Euler's Summation Formula |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-02T07%3A31%3A19IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Divisor%20Problem%20and%20an%20Analogue%20of%20Euler's%20Summation%20Formula&rft.au=Rane,%20Vivek%20V&rft.date=2008-09-10&rft_id=info:doi/10.48550/arxiv.0809.1854&rft_dat=%3Carxiv_GOX%3E0809_1854%3C/arxiv_GOX%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 |