On the mean value of the generalized Dedekind sum and certain generalized Hardy sums weighted by the Kloosterman sum
UDC 511 We study a hybrid mean-value problem related to the generalized Dedekind sum, certain generalized Hardy sums, and Kloosterman sum and obtain several meaningful conclusions by means of the analytic method and the properties of the character sum and the Gauss sum.
Збережено в:
| Дата: | 2023 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2023
|
| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/7112 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: | |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512604254896128 |
|---|---|
| author | Dağlı, Muhammet Cihat Sever, Hamit Dağlı, Muhammet Cihat Dağlı, Muhammet Cihat Sever, Hamit |
| author_facet | Dağlı, Muhammet Cihat Sever, Hamit Dağlı, Muhammet Cihat Dağlı, Muhammet Cihat Sever, Hamit |
| author_sort | Dağlı, Muhammet Cihat |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-07-02T07:08:12Z |
| description | UDC 511
We study a hybrid mean-value problem related to the generalized Dedekind sum, certain generalized Hardy sums, and Kloosterman sum and obtain several meaningful conclusions by means of the analytic method and the properties of the character sum and the Gauss sum. |
| doi_str_mv | 10.37863/umzh.v75i6.7112 |
| first_indexed | 2026-03-24T03:31:25Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7112 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:31:25Z |
| publishDate | 2023 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-71122023-07-02T07:08:12Z On the mean value of the generalized Dedekind sum and certain generalized Hardy sums weighted by the Kloosterman sum On the mean value of the generalized Dedekind sum and certain generalized Hardy sums weighted by the Kloosterman sum Dağlı, Muhammet Cihat Sever, Hamit Dağlı, Muhammet Cihat Dağlı, Muhammet Cihat Sever, Hamit 11F20 11L05 Dedekind sum Hardy sum Kloosterman sum hybrid mean value UDC 511 We study a hybrid mean-value problem related to the generalized Dedekind sum, certain generalized Hardy sums, and Kloosterman sum and obtain several meaningful conclusions by means of the analytic method and the properties of the character sum and the Gauss sum. УДК 511 Про середнє значення узагальненої суми Дедекінда тa деяких узагальнених сум Гарді, зважениx за сумою Клостермана  Вивчено гібридну проблему про середнє значення, пов’язану з узагальненою сумою Дедекінда, деякими узагальненими сумами Гарді та сумою Клостермана.  Кілька значущих висновків отримано за допомогою аналітичного методу, властивостей суми характерів  та суми Гаусса. Institute of Mathematics, NAS of Ukraine 2023-06-20 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7112 10.37863/umzh.v75i6.7112 Ukrains’kyi Matematychnyi Zhurnal; Vol. 75 No. 6 (2023); 777 - 783 Український математичний журнал; Том 75 № 6 (2023); 777 - 783 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7112/9761 Copyright (c) 2023 Muhammet Cihat Dağlı |
| spellingShingle | Dağlı, Muhammet Cihat Sever, Hamit Dağlı, Muhammet Cihat Dağlı, Muhammet Cihat Sever, Hamit On the mean value of the generalized Dedekind sum and certain generalized Hardy sums weighted by the Kloosterman sum |
| title | On the mean value of the generalized Dedekind sum and certain generalized Hardy sums weighted by the Kloosterman sum |
| title_alt | On the mean value of the generalized Dedekind sum and certain generalized Hardy sums weighted by the Kloosterman sum |
| title_full | On the mean value of the generalized Dedekind sum and certain generalized Hardy sums weighted by the Kloosterman sum |
| title_fullStr | On the mean value of the generalized Dedekind sum and certain generalized Hardy sums weighted by the Kloosterman sum |
| title_full_unstemmed | On the mean value of the generalized Dedekind sum and certain generalized Hardy sums weighted by the Kloosterman sum |
| title_short | On the mean value of the generalized Dedekind sum and certain generalized Hardy sums weighted by the Kloosterman sum |
| title_sort | on the mean value of the generalized dedekind sum and certain generalized hardy sums weighted by the kloosterman sum |
| topic_facet | 11F20 11L05 Dedekind sum Hardy sum Kloosterman sum hybrid mean value |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7112 |
| work_keys_str_mv | AT daglımuhammetcihat onthemeanvalueofthegeneralizeddedekindsumandcertaingeneralizedhardysumsweightedbythekloostermansum AT severhamit onthemeanvalueofthegeneralizeddedekindsumandcertaingeneralizedhardysumsweightedbythekloostermansum AT daglımuhammetcihat onthemeanvalueofthegeneralizeddedekindsumandcertaingeneralizedhardysumsweightedbythekloostermansum AT daglımuhammetcihat onthemeanvalueofthegeneralizeddedekindsumandcertaingeneralizedhardysumsweightedbythekloostermansum AT severhamit onthemeanvalueofthegeneralizeddedekindsumandcertaingeneralizedhardysumsweightedbythekloostermansum |