On the regular growth of Dirichlet series absolutely convergent in a half-plane
For the Dirichlet series with abscissa of absolute convergence σ a =0, we establish conditions for ( λ n ) and ( a n ) under which for σ ↑ 0, where and T R and ϱ R are positive constants.
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| Veröffentlicht in: | Ukrainian mathematical journal 2011-10, Vol.63 (5), p.797-814 |
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| container_issue | 5 |
| container_start_page | 797 |
| container_title | Ukrainian mathematical journal |
| container_volume | 63 |
| creator | Stets’, Yu. V. Sheremeta, M. M. |
| description | For the Dirichlet series
with abscissa of absolute convergence
σ
a
=0, we establish conditions for (
λ
n
) and (
a
n
) under which
for
σ
↑ 0, where
and
T
R
and
ϱ
R
are positive constants. |
| doi_str_mv | 10.1007/s11253-011-0543-7 |
| format | Article |
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with abscissa of absolute convergence
σ
a
=0, we establish conditions for (
λ
n
) and (
a
n
) under which
for
σ
↑ 0, where
and
T
R
and
ϱ
R
are positive constants.</description><identifier>ISSN: 0041-5995</identifier><identifier>EISSN: 1573-9376</identifier><identifier>DOI: 10.1007/s11253-011-0543-7</identifier><language>eng</language><publisher>Boston: Springer US</publisher><subject>Algebra ; Analysis ; Applications of Mathematics ; Geometry ; Mathematics ; Mathematics and Statistics ; Statistics</subject><ispartof>Ukrainian mathematical journal, 2011-10, Vol.63 (5), p.797-814</ispartof><rights>Springer Science+Business Media, Inc. 2011</rights><rights>COPYRIGHT 2011 Springer</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c279t-310ec3d954af3b6b00b9f6d8a00c5ac2315823b5875e230c00bf3d3f151cd3e83</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11253-011-0543-7$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11253-011-0543-7$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,777,781,27905,27906,41469,42538,51300</link.rule.ids></links><search><creatorcontrib>Stets’, Yu. V.</creatorcontrib><creatorcontrib>Sheremeta, M. M.</creatorcontrib><title>On the regular growth of Dirichlet series absolutely convergent in a half-plane</title><title>Ukrainian mathematical journal</title><addtitle>Ukr Math J</addtitle><description>For the Dirichlet series
with abscissa of absolute convergence
σ
a
=0, we establish conditions for (
λ
n
) and (
a
n
) under which
for
σ
↑ 0, where
and
T
R
and
ϱ
R
are positive constants.</description><subject>Algebra</subject><subject>Analysis</subject><subject>Applications of Mathematics</subject><subject>Geometry</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Statistics</subject><issn>0041-5995</issn><issn>1573-9376</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNp9kM1qwzAMgM3YYF23B9jNL-DOjuM4OZbuFwq9bGfjOHLi4jrFTjf69nPJzkMHgaRPSB9Cj4yuGKXyKTFWCE4oY4SKkhN5hRZMSE4aLqtrtKC0ZEQ0jbhFdyntKc1ULRdotwt4GgBH6E9eR9zH8Wca8Gjxs4vODB4mnCA6SFi3afSnCfwZmzF8Q-whTNgFrPGgvSVHrwPcoxurfYKHv7xEX68vn5t3st29fWzWW2IK2UyEMwqGd40oteVt1VLaNrbqak2pEdoUnIm64K2opYCCU5P7lnfcMsFMx6HmS7Sa9_bag3LBjlPUJkcHB5fPA-tyfc1FU7GyrkUG2AyYOKYUwapjdAcdz4pRdVGoZoUqK1QXhUpmppiZlGdDD1Htx1MM-a9_oF9jj3O6</recordid><startdate>20111001</startdate><enddate>20111001</enddate><creator>Stets’, Yu. V.</creator><creator>Sheremeta, M. M.</creator><general>Springer US</general><general>Springer</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20111001</creationdate><title>On the regular growth of Dirichlet series absolutely convergent in a half-plane</title><author>Stets’, Yu. V. ; Sheremeta, M. M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c279t-310ec3d954af3b6b00b9f6d8a00c5ac2315823b5875e230c00bf3d3f151cd3e83</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Algebra</topic><topic>Analysis</topic><topic>Applications of Mathematics</topic><topic>Geometry</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Statistics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Stets’, Yu. V.</creatorcontrib><creatorcontrib>Sheremeta, M. M.</creatorcontrib><collection>CrossRef</collection><jtitle>Ukrainian mathematical journal</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Stets’, Yu. V.</au><au>Sheremeta, M. M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the regular growth of Dirichlet series absolutely convergent in a half-plane</atitle><jtitle>Ukrainian mathematical journal</jtitle><stitle>Ukr Math J</stitle><date>2011-10-01</date><risdate>2011</risdate><volume>63</volume><issue>5</issue><spage>797</spage><epage>814</epage><pages>797-814</pages><issn>0041-5995</issn><eissn>1573-9376</eissn><abstract>For the Dirichlet series
with abscissa of absolute convergence
σ
a
=0, we establish conditions for (
λ
n
) and (
a
n
) under which
for
σ
↑ 0, where
and
T
R
and
ϱ
R
are positive constants.</abstract><cop>Boston</cop><pub>Springer US</pub><doi>10.1007/s11253-011-0543-7</doi><tpages>18</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0041-5995 |
| ispartof | Ukrainian mathematical journal, 2011-10, Vol.63 (5), p.797-814 |
| issn | 0041-5995 1573-9376 |
| language | eng |
| recordid | cdi_gale_infotracacademiconefile_A359614885 |
| source | Springer Nature - Complete Springer Journals |
| subjects | Algebra Analysis Applications of Mathematics Geometry Mathematics Mathematics and Statistics Statistics |
| title | On the regular growth of Dirichlet series absolutely convergent in a half-plane |
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