Maier, Helmut; Rassias, Michael Th. On the maximum of cotangent sums related to the Riemann hypothesis in rational numbers in short intervals. (English) Zbl 1491.11077 Mosc. J. Comb. Number Theory 10, No. 4, 303-313 (2021). Reviewer: Mehdi Hassani (Zanjan) MSC: 11M06 11L03 26A12 PDFBibTeX XMLCite \textit{H. Maier} and \textit{M. Th. Rassias}, Mosc. J. Comb. Number Theory 10, No. 4, 303--313 (2021; Zbl 1491.11077) Full Text: DOI arXiv
Maier, Helmut; Rassias, Michael Th. Cotangent sums related to the Riemann hypothesis for various shifts of the argument. (English) Zbl 1448.33002 Can. Math. Bull. 63, No. 3, 522-535 (2020). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 33B10 11M06 28A25 41A60 60E10 PDFBibTeX XMLCite \textit{H. Maier} and \textit{M. Th. Rassias}, Can. Math. Bull. 63, No. 3, 522--535 (2020; Zbl 1448.33002) Full Text: DOI arXiv
Maier, Helmut; Rassias, Michael Th.; Raigorodskii, Andrei The maximum of cotangent sums related to the Nyman-Beurling criterion for the Riemann hypothesis. (English) Zbl 1446.11167 Raigorodskii, Andrei M. (ed.) et al., Trigonometric sums and their applications. Cham: Springer. 149-158 (2020). Reviewer: Mehdi Hassani (Zanjan) MSC: 11M41 11L03 PDFBibTeX XMLCite \textit{H. Maier} et al., in: Trigonometric sums and their applications. Cham: Springer. 149--158 (2020; Zbl 1446.11167) Full Text: DOI
Maier, Helmut; Rassias, Michael Th. Distribution of a cotangent sum related to the Nyman-Beurling criterion for the Riemann hypothesis. (English) Zbl 1433.33001 Appl. Math. Comput. 363, Article ID 124589, 18 p. (2019). MSC: 33B10 41A60 11M06 28A25 11M41 11M26 PDFBibTeX XMLCite \textit{H. Maier} and \textit{M. Th. Rassias}, Appl. Math. Comput. 363, Article ID 124589, 18 p. (2019; Zbl 1433.33001) Full Text: DOI
Maier, Helmut; Rassias, Michael Th. Explicit estimates of sums related to the Nyman-Beurling criterion for the Riemann hypothesis. (English) Zbl 1426.30005 J. Funct. Anal. 276, No. 12, 3832-3857 (2019). Reviewer: Piroska Lakatos (Debrecen) MSC: 30C15 11M26 42A16 42A20 PDFBibTeX XMLCite \textit{H. Maier} and \textit{M. Th. Rassias}, J. Funct. Anal. 276, No. 12, 3832--3857 (2019; Zbl 1426.30005) Full Text: DOI arXiv
Maier, Helmut; Rassias, Michael Th. Estimates of sums related to the Nyman-Beurling criterion for the Riemann hypothesis. (English) Zbl 1400.11126 J. Number Theory 188, 96-120 (2018). Reviewer: Piroska Lakatos (Debrecen) MSC: 11M26 30C15 42A16 42A20 PDFBibTeX XMLCite \textit{H. Maier} and \textit{M. Th. Rassias}, J. Number Theory 188, 96--120 (2018; Zbl 1400.11126) Full Text: DOI arXiv
Maier, Helmut; Rassias, Michael Th. The maximum of cotangent sums related to Estermann’s zeta function in rational numbers in short intervals. (English) Zbl 1499.11255 Appl. Anal. Discrete Math. 11, No. 1, 166-176 (2017). MSC: 11L03 26A12 11M06 PDFBibTeX XMLCite \textit{H. Maier} and \textit{M. Th. Rassias}, Appl. Anal. Discrete Math. 11, No. 1, 166--176 (2017; Zbl 1499.11255) Full Text: DOI
Maier, Helmut; Rassias, Michael Th. Asymptotics and equidistribution of cotangent sums associated with the Estermann and Riemann zeta functions. (English) Zbl 1407.11098 Sander, Jürgen (ed.) et al., From arithmetic to zeta-functions. Number theory in memory of Wolfgang Schwarz. Cham: Springer. 277-293 (2016). MSC: 11M06 11L03 PDFBibTeX XMLCite \textit{H. Maier} and \textit{M. Th. Rassias}, in: From arithmetic to zeta-functions. Number theory in memory of Wolfgang Schwarz. Cham: Springer. 277--293 (2016; Zbl 1407.11098) Full Text: DOI
Maier, Helmut; Rassias, Michael Th. Generalizations of a cotangent sum associated to the Estermann zeta function. (English) Zbl 1346.11045 Commun. Contemp. Math. 18, No. 1, Article ID 1550078, 89 p. (2016). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11L03 11M41 41A60 PDFBibTeX XMLCite \textit{H. Maier} and \textit{M. Th. Rassias}, Commun. Contemp. Math. 18, No. 1, Article ID 1550078, 89 p. (2016; Zbl 1346.11045) Full Text: DOI arXiv
Rassias, Michael Th. A cotangent sum related to zeros of the Estermann zeta function. (English) Zbl 1334.11068 Appl. Math. Comput. 240, 161-167 (2014). MSC: 11M06 41A60 PDFBibTeX XMLCite \textit{M. Th. Rassias}, Appl. Math. Comput. 240, 161--167 (2014; Zbl 1334.11068) Full Text: DOI arXiv