Sur la variation de certaines suites de parties fractionnaires
Let 0. We prove the following asymptotic formula with = − , uniformly for ⩾ 40 (1 +
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| Veröffentlicht in: | Communications in Mathematics 2021-12, Vol.29 (3), p.407-430 |
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| container_end_page | 430 |
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| container_issue | 3 |
| container_start_page | 407 |
| container_title | Communications in Mathematics |
| container_volume | 29 |
| creator | Balazard, Michel Benferhat, Leila Bouderbala, Mihoub |
| description | Let
0. We prove the following asymptotic formula
with
=
−
, uniformly for
⩾ 40
(1 + |
| doi_str_mv | 10.2478/cm-2020-0021 |
| format | Article |
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0. We prove the following asymptotic formula
with
=
−
, uniformly for
⩾ 40
(1 +</description><identifier>ISSN: 2336-1298</identifier><identifier>ISSN: 1804-1388</identifier><identifier>EISSN: 2336-1298</identifier><identifier>DOI: 10.2478/cm-2020-0021</identifier><language>eng</language><publisher>Sciendo</publisher><subject>11N37 ; Elementary methods ; Fractional part ; Mathematics ; Number Theory ; van der Corput estimates</subject><ispartof>Communications in Mathematics, 2021-12, Vol.29 (3), p.407-430</ispartof><rights>Attribution - NonCommercial - NoDerivatives</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c1607-5133fd595cecf0906858309aa5abb05946fee4c230f63010626f7c909c5498e73</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,314,777,781,882,27905,27906</link.rule.ids><backlink>$$Uhttps://hal.science/hal-02190613$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Balazard, Michel</creatorcontrib><creatorcontrib>Benferhat, Leila</creatorcontrib><creatorcontrib>Bouderbala, Mihoub</creatorcontrib><title>Sur la variation de certaines suites de parties fractionnaires</title><title>Communications in Mathematics</title><description>Let
0. We prove the following asymptotic formula
with
=
−
, uniformly for
⩾ 40
(1 +</description><subject>11N37</subject><subject>Elementary methods</subject><subject>Fractional part</subject><subject>Mathematics</subject><subject>Number Theory</subject><subject>van der Corput estimates</subject><issn>2336-1298</issn><issn>1804-1388</issn><issn>2336-1298</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNptkE9LAzEUxIMoWGpvfoC9Cq6-_NnsxoNQilphwYN6Dq9poinb3ZLsVvrtzVIRD57e8PjNwAwhlxRumCirW7PNGTDIARg9IRPGucwpU9XpH31OZjFuAIAqBoKKCbl_HULWYLbH4LH3XZutbWZs6NG3NmZx8H066bfD0PskXUAzci36YOMFOXPYRDv7uVPy_vjwtljm9cvT82Je54ZKKPOCcu7WhSqMNQ4UyKqoOCjEAlcrKJSQzlphGAcnOVCQTLrSKFCmEKqyJZ-Sq2PuJzZ6F_wWw0F36PVyXuvxl0qnWMr3LLHXR9aELsZg3a-Bgh6n0marx6n0OFXC7474Fza9DWv7EYZDEnrTDaFNpf61McUFlPwb3XJsqg</recordid><startdate>20211201</startdate><enddate>20211201</enddate><creator>Balazard, Michel</creator><creator>Benferhat, Leila</creator><creator>Bouderbala, Mihoub</creator><general>Sciendo</general><general>University of Ostrava</general><scope>AAYXX</scope><scope>CITATION</scope><scope>1XC</scope><scope>VOOES</scope></search><sort><creationdate>20211201</creationdate><title>Sur la variation de certaines suites de parties fractionnaires</title><author>Balazard, Michel ; Benferhat, Leila ; Bouderbala, Mihoub</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c1607-5133fd595cecf0906858309aa5abb05946fee4c230f63010626f7c909c5498e73</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>11N37</topic><topic>Elementary methods</topic><topic>Fractional part</topic><topic>Mathematics</topic><topic>Number Theory</topic><topic>van der Corput estimates</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Balazard, Michel</creatorcontrib><creatorcontrib>Benferhat, Leila</creatorcontrib><creatorcontrib>Bouderbala, Mihoub</creatorcontrib><collection>CrossRef</collection><collection>Hyper Article en Ligne (HAL)</collection><collection>Hyper Article en Ligne (HAL) (Open Access)</collection><jtitle>Communications in Mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Balazard, Michel</au><au>Benferhat, Leila</au><au>Bouderbala, Mihoub</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Sur la variation de certaines suites de parties fractionnaires</atitle><jtitle>Communications in Mathematics</jtitle><date>2021-12-01</date><risdate>2021</risdate><volume>29</volume><issue>3</issue><spage>407</spage><epage>430</epage><pages>407-430</pages><issn>2336-1298</issn><issn>1804-1388</issn><eissn>2336-1298</eissn><abstract>Let
0. We prove the following asymptotic formula
with
=
−
, uniformly for
⩾ 40
(1 +</abstract><pub>Sciendo</pub><doi>10.2478/cm-2020-0021</doi><tpages>24</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 2336-1298 |
| ispartof | Communications in Mathematics, 2021-12, Vol.29 (3), p.407-430 |
| issn | 2336-1298 1804-1388 2336-1298 |
| language | eng |
| recordid | cdi_hal_primary_oai_HAL_hal_02190613v2 |
| source | Alma/SFX Local Collection |
| subjects | 11N37 Elementary methods Fractional part Mathematics Number Theory van der Corput estimates |
| title | Sur la variation de certaines suites de parties fractionnaires |
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