Dağlı, Muhammet Cihat; Sever, Hamit On the mean value of the generalized Dedekind sum and certain generalized Hardy sums weighted by the Kloosterman sum. (English) Zbl 1528.11026 Ukr. Math. J. 75, No. 6, 889-896 (2023) and Ukr. Mat. Zh. 75, No. 6, 777-783 (2023). MSC: 11F20 11L05 11N37 PDFBibTeX XMLCite \textit{M. C. Dağlı} and \textit{H. Sever}, Ukr. Math. J. 75, No. 6, 889--896 (2023; Zbl 1528.11026) Full Text: DOI
Atmani, Sofiane; Bayad, Abdelmejid; Hernane, Mohand Ouamar Congruences for Fourier coefficients of eta-quotients modulo powers of 5, 7, 11, 13, and 17. (English) Zbl 1528.11107 Math. Methods Appl. Sci. 46, No. 5, 5001-5028 (2023). MSC: 11P83 05A17 11F20 PDFBibTeX XMLCite \textit{S. Atmani} et al., Math. Methods Appl. Sci. 46, No. 5, 5001--5028 (2023; Zbl 1528.11107) Full Text: DOI OA License
Dağli, M. C. Some novel identities for analogues of Dedekind sums, Hurwitz zeta-function and general Kloosterman sum. (English) Zbl 07650949 Acta Math. Hung. 168, No. 2, 373-385 (2022). MSC: 11F20 11L05 11M35 PDFBibTeX XMLCite \textit{M. C. Dağli}, Acta Math. Hung. 168, No. 2, 373--385 (2022; Zbl 07650949) Full Text: DOI
Can, M. Reciprocity formulas for Hall-Wilson-Zagier type Hardy-Berndt sums. (English) Zbl 1474.11107 Acta Math. Hung. 163, No. 1, 118-139 (2021). Reviewer: Min Ho Lee (Cedar Falls) MSC: 11F20 11B68 42A16 PDFBibTeX XMLCite \textit{M. Can}, Acta Math. Hung. 163, No. 1, 118--139 (2021; Zbl 1474.11107) Full Text: DOI arXiv
Ma, Yuankui; Kim, Dae San; Lee, Hyunseok; Kim, Taekyun Poly-Dedekind sums associated with poly-Bernoulli functions. (English) Zbl 1503.11080 J. Inequal. Appl. 2020, Paper No. 248, 10 p. (2020). MSC: 11F20 11B68 11B83 33B15 PDFBibTeX XMLCite \textit{Y. Ma} et al., J. Inequal. Appl. 2020, Paper No. 248, 10 p. (2020; Zbl 1503.11080) Full Text: DOI
Milovanović, Gradimir V.; Simsek, Yilmaz Dedekind and Hardy type sums and trigonometric sums induced by quadrature formulas. (English) Zbl 07216532 Raigorodskii, Andrei M. (ed.) et al., Trigonometric sums and their applications. Cham: Springer. 183-228 (2020). MSC: 65-XX 41Axx 65Axx 65Dxx 00Axx PDFBibTeX XMLCite \textit{G. V. Milovanović} and \textit{Y. Simsek}, in: Trigonometric sums and their applications. Cham: Springer. 183--228 (2020; Zbl 07216532) Full Text: DOI
Boztaş, Merve Çelebi; Can, Mümün Transformation formulas of a character analogue of \(\log \theta _{2}(z)\). (English) Zbl 1444.11063 Ramanujan J. 48, No. 2, 323-349 (2019). MSC: 11F20 11B68 PDFBibTeX XMLCite \textit{M. Ç. Boztaş} and \textit{M. Can}, Ramanujan J. 48, No. 2, 323--349 (2019; Zbl 1444.11063) Full Text: DOI arXiv
Peng, Wen; Zhang, Tianping Some identities involving certain Hardy sum and Kloosterman sum. (English) Zbl 1401.11084 J. Number Theory 165, 355-362 (2016). MSC: 11F20 11L05 PDFBibTeX XMLCite \textit{W. Peng} and \textit{T. Zhang}, J. Number Theory 165, 355--362 (2016; Zbl 1401.11084) Full Text: DOI
Hu, Su; Kim, Daeyeoul; Kim, Min-Soo On reciprocity formula of Apostol-Dedekind sum with quasi-periodic Euler functions. (English) Zbl 1402.11064 J. Number Theory 162, 54-67 (2016). MSC: 11F20 11B68 65B15 PDFBibTeX XMLCite \textit{S. Hu} et al., J. Number Theory 162, 54--67 (2016; Zbl 1402.11064) Full Text: DOI arXiv
Cetin, Elif; Simsek, Yilmaz; Cangul, Ismail Naci Some special finite sums related to the three-term polynomial relations and their applications. (English) Zbl 1417.11038 Adv. Difference Equ. 2014, Paper No. 283, 18 p. (2014). MSC: 11F20 11C08 PDFBibTeX XMLCite \textit{E. Cetin} et al., Adv. Difference Equ. 2014, Paper No. 283, 18 p. (2014; Zbl 1417.11038) Full Text: DOI
Can, Mümün; Kurt, Veli Character analogues of certain Hardy-Berndt sums. (English) Zbl 1309.11033 Int. J. Number Theory 10, No. 3, 737-762 (2014). Reviewer: Kaori Ota (Tokyo) MSC: 11F20 11B68 65B15 PDFBibTeX XMLCite \textit{M. Can} and \textit{V. Kurt}, Int. J. Number Theory 10, No. 3, 737--762 (2014; Zbl 1309.11033) Full Text: DOI arXiv
Dağli, Muhammet Cihat; Can, Mümün A new generalization of Hardy-Berndt sums. (English) Zbl 1273.11037 Proc. Indian Acad. Sci., Math. Sci. 123, No. 2, 177-192 (2013). MSC: 11B68 11F20 PDFBibTeX XMLCite \textit{M. C. Dağli} and \textit{M. Can}, Proc. Indian Acad. Sci., Math. Sci. 123, No. 2, 177--192 (2013; Zbl 1273.11037) Full Text: DOI
Aygunes, A. Ahmet; Simsek, Yilmaz The action of Hecke operators to families of Weierstrass-type functions and Weber-type functions and their applications. (English) Zbl 1247.11056 Appl. Math. Comput. 218, No. 3, 678-682 (2011). Reviewer: Emre Alkan (Istanbul) MSC: 11F20 11F25 11B68 11M06 PDFBibTeX XMLCite \textit{A. A. Aygunes} and \textit{Y. Simsek}, Appl. Math. Comput. 218, No. 3, 678--682 (2011; Zbl 1247.11056) Full Text: DOI
Simsek, Y. Special functions related to Dedekind-type DC-sums and their applications. (English) Zbl 1259.11045 Russ. J. Math. Phys. 17, No. 4, 495-508 (2010). MSC: 11F20 33C60 11B68 11M35 33C10 33E20 PDFBibTeX XMLCite \textit{Y. Simsek}, Russ. J. Math. Phys. 17, No. 4, 495--508 (2010; Zbl 1259.11045) Full Text: DOI arXiv
Simsek, Yilmaz \(q\)-Hardy-Berndt type sums associated with \(q\)-Genocchi type zeta and \(q\)-\(l\)-functions. (English) Zbl 1238.11030 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e377-e395 (2009). MSC: 11B68 11S80 11F20 11S40 PDFBibTeX XMLCite \textit{Y. Simsek}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e377--e395 (2009; Zbl 1238.11030) Full Text: DOI arXiv
Simsek, Yilmaz \(q\)-Dedekind type sums related to \(q\)-zeta function and basic \(L\)-series. (English) Zbl 1149.11054 J. Math. Anal. Appl. 318, No. 1, 333-351 (2006). MSC: 11S40 05A30 11B68 11M41 PDFBibTeX XMLCite \textit{Y. Simsek}, J. Math. Anal. Appl. 318, No. 1, 333--351 (2006; Zbl 1149.11054) Full Text: DOI