Eintrag weiter verarbeiten
On the values of a class of Dirichlet series at rational arguments
Gespeichert in:
Zeitschriftentitel: | Proceedings of the American Mathematical Society |
---|---|
Personen und Körperschaften: | , , |
In: | Proceedings of the American Mathematical Society, 138, 2009, 4, S. 1223-1230 |
Format: | E-Article |
Sprache: | Englisch |
veröffentlicht: |
American Mathematical Society (AMS)
|
Schlagwörter: |
author_facet |
Chakraborty, K. Kanemitsu, S. Li, H.-L. Chakraborty, K. Kanemitsu, S. Li, H.-L. |
---|---|
author |
Chakraborty, K. Kanemitsu, S. Li, H.-L. |
spellingShingle |
Chakraborty, K. Kanemitsu, S. Li, H.-L. Proceedings of the American Mathematical Society On the values of a class of Dirichlet series at rational arguments Applied Mathematics General Mathematics |
author_sort |
chakraborty, k. |
spelling |
Chakraborty, K. Kanemitsu, S. Li, H.-L. 0002-9939 1088-6826 American Mathematical Society (AMS) Applied Mathematics General Mathematics http://dx.doi.org/10.1090/s0002-9939-09-10171-5 <p>In this paper we shall prove that the combination of the general distribution property and the functional equation for the Lipschitz-Lerch transcendent capture the whole spectrum of deeper results on the relations between the values at rational arguments of functions of a class of zeta-functions. By Theorem 1 and its corollaries, we can cover all the previous results in a rather simple and lucid way. By considering the limiting cases, we can also deduce new striking identities for Milnor’s gamma functions, among which is the Gauss second formula for the digamma function.</p> On the values of a class of Dirichlet series at rational arguments Proceedings of the American Mathematical Society |
doi_str_mv |
10.1090/s0002-9939-09-10171-5 |
facet_avail |
Online Free |
finc_class_facet |
Mathematik |
format |
ElectronicArticle |
fullrecord |
blob:ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTA5MC9zMDAwMi05OTM5LTA5LTEwMTcxLTU |
id |
ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTA5MC9zMDAwMi05OTM5LTA5LTEwMTcxLTU |
institution |
DE-Gla1 DE-Zi4 DE-15 DE-Pl11 DE-Rs1 DE-105 DE-14 DE-Ch1 DE-L229 DE-D275 DE-Bn3 DE-Brt1 DE-Zwi2 DE-D161 |
imprint |
American Mathematical Society (AMS), 2009 |
imprint_str_mv |
American Mathematical Society (AMS), 2009 |
issn |
0002-9939 1088-6826 |
issn_str_mv |
0002-9939 1088-6826 |
language |
English |
mega_collection |
American Mathematical Society (AMS) (CrossRef) |
match_str |
chakraborty2009onthevaluesofaclassofdirichletseriesatrationalarguments |
publishDateSort |
2009 |
publisher |
American Mathematical Society (AMS) |
recordtype |
ai |
record_format |
ai |
series |
Proceedings of the American Mathematical Society |
source_id |
49 |
title |
On the values of a class of Dirichlet series at rational arguments |
title_unstemmed |
On the values of a class of Dirichlet series at rational arguments |
title_full |
On the values of a class of Dirichlet series at rational arguments |
title_fullStr |
On the values of a class of Dirichlet series at rational arguments |
title_full_unstemmed |
On the values of a class of Dirichlet series at rational arguments |
title_short |
On the values of a class of Dirichlet series at rational arguments |
title_sort |
on the values of a class of dirichlet series at rational arguments |
topic |
Applied Mathematics General Mathematics |
url |
http://dx.doi.org/10.1090/s0002-9939-09-10171-5 |
publishDate |
2009 |
physical |
1223-1230 |
description |
<p>In this paper we shall prove that the combination of the general distribution property and the functional equation for the Lipschitz-Lerch transcendent capture the whole spectrum of deeper results on the relations between the values at rational arguments of functions of a class of zeta-functions. By Theorem 1 and its corollaries, we can cover all the previous results in a rather simple and lucid way. By considering the limiting cases, we can also deduce new striking identities for Milnor’s gamma functions, among which is the Gauss second formula for the digamma function.</p> |
container_issue |
4 |
container_start_page |
1223 |
container_title |
Proceedings of the American Mathematical Society |
container_volume |
138 |
format_de105 |
Article, E-Article |
format_de14 |
Article, E-Article |
format_de15 |
Article, E-Article |
format_de520 |
Article, E-Article |
format_de540 |
Article, E-Article |
format_dech1 |
Article, E-Article |
format_ded117 |
Article, E-Article |
format_degla1 |
E-Article |
format_del152 |
Buch |
format_del189 |
Article, E-Article |
format_dezi4 |
Article |
format_dezwi2 |
Article, E-Article |
format_finc |
Article, E-Article |
format_nrw |
Article, E-Article |
_version_ |
1792321420239306769 |
geogr_code |
not assigned |
last_indexed |
2024-03-01T11:01:41.076Z |
geogr_code_person |
not assigned |
openURL |
url_ver=Z39.88-2004&ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fvufind.svn.sourceforge.net%3Agenerator&rft.title=On+the+values+of+a+class+of+Dirichlet+series+at+rational+arguments&rft.date=2009-12-04&genre=article&issn=1088-6826&volume=138&issue=4&spage=1223&epage=1230&pages=1223-1230&jtitle=Proceedings+of+the+American+Mathematical+Society&atitle=On+the+values+of+a+class+of+Dirichlet+series+at+rational+arguments&aulast=Li&aufirst=H.-L.&rft_id=info%3Adoi%2F10.1090%2Fs0002-9939-09-10171-5&rft.language%5B0%5D=eng |
SOLR | |
_version_ | 1792321420239306769 |
author | Chakraborty, K., Kanemitsu, S., Li, H.-L. |
author_facet | Chakraborty, K., Kanemitsu, S., Li, H.-L., Chakraborty, K., Kanemitsu, S., Li, H.-L. |
author_sort | chakraborty, k. |
container_issue | 4 |
container_start_page | 1223 |
container_title | Proceedings of the American Mathematical Society |
container_volume | 138 |
description | <p>In this paper we shall prove that the combination of the general distribution property and the functional equation for the Lipschitz-Lerch transcendent capture the whole spectrum of deeper results on the relations between the values at rational arguments of functions of a class of zeta-functions. By Theorem 1 and its corollaries, we can cover all the previous results in a rather simple and lucid way. By considering the limiting cases, we can also deduce new striking identities for Milnor’s gamma functions, among which is the Gauss second formula for the digamma function.</p> |
doi_str_mv | 10.1090/s0002-9939-09-10171-5 |
facet_avail | Online, Free |
finc_class_facet | Mathematik |
format | ElectronicArticle |
format_de105 | Article, E-Article |
format_de14 | Article, E-Article |
format_de15 | Article, E-Article |
format_de520 | Article, E-Article |
format_de540 | Article, E-Article |
format_dech1 | Article, E-Article |
format_ded117 | Article, E-Article |
format_degla1 | E-Article |
format_del152 | Buch |
format_del189 | Article, E-Article |
format_dezi4 | Article |
format_dezwi2 | Article, E-Article |
format_finc | Article, E-Article |
format_nrw | Article, E-Article |
geogr_code | not assigned |
geogr_code_person | not assigned |
id | ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTA5MC9zMDAwMi05OTM5LTA5LTEwMTcxLTU |
imprint | American Mathematical Society (AMS), 2009 |
imprint_str_mv | American Mathematical Society (AMS), 2009 |
institution | DE-Gla1, DE-Zi4, DE-15, DE-Pl11, DE-Rs1, DE-105, DE-14, DE-Ch1, DE-L229, DE-D275, DE-Bn3, DE-Brt1, DE-Zwi2, DE-D161 |
issn | 0002-9939, 1088-6826 |
issn_str_mv | 0002-9939, 1088-6826 |
language | English |
last_indexed | 2024-03-01T11:01:41.076Z |
match_str | chakraborty2009onthevaluesofaclassofdirichletseriesatrationalarguments |
mega_collection | American Mathematical Society (AMS) (CrossRef) |
physical | 1223-1230 |
publishDate | 2009 |
publishDateSort | 2009 |
publisher | American Mathematical Society (AMS) |
record_format | ai |
recordtype | ai |
series | Proceedings of the American Mathematical Society |
source_id | 49 |
spelling | Chakraborty, K. Kanemitsu, S. Li, H.-L. 0002-9939 1088-6826 American Mathematical Society (AMS) Applied Mathematics General Mathematics http://dx.doi.org/10.1090/s0002-9939-09-10171-5 <p>In this paper we shall prove that the combination of the general distribution property and the functional equation for the Lipschitz-Lerch transcendent capture the whole spectrum of deeper results on the relations between the values at rational arguments of functions of a class of zeta-functions. By Theorem 1 and its corollaries, we can cover all the previous results in a rather simple and lucid way. By considering the limiting cases, we can also deduce new striking identities for Milnor’s gamma functions, among which is the Gauss second formula for the digamma function.</p> On the values of a class of Dirichlet series at rational arguments Proceedings of the American Mathematical Society |
spellingShingle | Chakraborty, K., Kanemitsu, S., Li, H.-L., Proceedings of the American Mathematical Society, On the values of a class of Dirichlet series at rational arguments, Applied Mathematics, General Mathematics |
title | On the values of a class of Dirichlet series at rational arguments |
title_full | On the values of a class of Dirichlet series at rational arguments |
title_fullStr | On the values of a class of Dirichlet series at rational arguments |
title_full_unstemmed | On the values of a class of Dirichlet series at rational arguments |
title_short | On the values of a class of Dirichlet series at rational arguments |
title_sort | on the values of a class of dirichlet series at rational arguments |
title_unstemmed | On the values of a class of Dirichlet series at rational arguments |
topic | Applied Mathematics, General Mathematics |
url | http://dx.doi.org/10.1090/s0002-9939-09-10171-5 |