Xia, Ernest X. W.; Yan, Zhang Proofs of some conjectures of Sun on the relations between sums of squares and sums of triangular numbers. (English) Zbl 1459.11099 Int. J. Number Theory 15, No. 1, 189-212 (2019). MSC: 11D85 11E25 PDFBibTeX XMLCite \textit{E. X. W. Xia} and \textit{Z. Yan}, Int. J. Number Theory 15, No. 1, 189--212 (2019; Zbl 1459.11099) Full Text: DOI
Vasuki, K. R.; Bhuvan, E. N. “cases? for \(\varphi\) also” a question raised by Ramanujan. (English) Zbl 1456.33015 Int. J. Number Theory 15, No. 1, 183-188 (2019). MSC: 33E05 11F11 PDFBibTeX XMLCite \textit{K. R. Vasuki} and \textit{E. N. Bhuvan}, Int. J. Number Theory 15, No. 1, 183--188 (2019; Zbl 1456.33015) Full Text: DOI
Flammang, V. The absolute trace of totally positive algebraic integers. (English) Zbl 1454.11193 Int. J. Number Theory 15, No. 1, 173-181 (2019). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 11C08 11R80 11Y40 PDFBibTeX XMLCite \textit{V. Flammang}, Int. J. Number Theory 15, No. 1, 173--181 (2019; Zbl 1454.11193) Full Text: DOI
Hirose, Minoru; Sato, Nobuo Hoffman’s conjectural identity. (English) Zbl 1467.11081 Int. J. Number Theory 15, No. 1, 167-171 (2019). Reviewer: Jianqiang Zhao (La Jolla) MSC: 11M32 33E20 PDFBibTeX XMLCite \textit{M. Hirose} and \textit{N. Sato}, Int. J. Number Theory 15, No. 1, 167--171 (2019; Zbl 1467.11081) Full Text: DOI arXiv
Leal-Ruperto, José Luis On the magnitude of the integer solutions of the semi-diagonal equation \(ax^2 + by^2 + cz^2 + dxy = 0\). (English) Zbl 1461.11049 Int. J. Number Theory 15, No. 1, 157-165 (2019). Reviewer: Maciej Ulas (Kraków) MSC: 11D09 PDFBibTeX XMLCite \textit{J. L. Leal-Ruperto}, Int. J. Number Theory 15, No. 1, 157--165 (2019; Zbl 1461.11049) Full Text: DOI
Patkowski, Alexander E. Some Mellin transforms for the Riemann zeta function in the critical strip. (English) Zbl 1456.11158 Int. J. Number Theory 15, No. 1, 153-156 (2019). MSC: 11M06 33C15 PDFBibTeX XMLCite \textit{A. E. Patkowski}, Int. J. Number Theory 15, No. 1, 153--156 (2019; Zbl 1456.11158) Full Text: DOI arXiv
Aygin, Zafer Selcuk; Hong, Nankun Ramanujan’s convolution sum twisted by Dirichlet characters. (English) Zbl 1460.11005 Int. J. Number Theory 15, No. 1, 137-152 (2019). Reviewer: Emmanuel Royer (Aubière) MSC: 11A25 11F11 11F20 11F27 11E20 11E25 11F30 PDFBibTeX XMLCite \textit{Z. S. Aygin} and \textit{N. Hong}, Int. J. Number Theory 15, No. 1, 137--152 (2019; Zbl 1460.11005) Full Text: DOI
Wang, Haoli; Hao, Jun; Zhang, Lizhen The Erdős-Burgess constant of the multiplicative semigroup of a factor ring of \(\mathbb{F}_q [x]\). (English) Zbl 1459.11075 Int. J. Number Theory 15, No. 1, 131-136 (2019). MSC: 11B75 11T55 20M14 PDFBibTeX XMLCite \textit{H. Wang} et al., Int. J. Number Theory 15, No. 1, 131--136 (2019; Zbl 1459.11075) Full Text: DOI arXiv
Taki Eldin, Ramy F. On the number of incongruent solutions to a quadratic congruence over algebraic integers. (English) Zbl 1464.11040 Int. J. Number Theory 15, No. 1, 105-130 (2019). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11E12 11D09 11R04 PDFBibTeX XMLCite \textit{R. F. Taki Eldin}, Int. J. Number Theory 15, No. 1, 105--130 (2019; Zbl 1464.11040) Full Text: DOI
Ayad, Mohamed; Bouchenna, Rachid; Kihel, Omar Indices in a number field. II. (English) Zbl 1459.11209 Int. J. Number Theory 15, No. 1, 89-103 (2019). MSC: 11R04 PDFBibTeX XMLCite \textit{M. Ayad} et al., Int. J. Number Theory 15, No. 1, 89--103 (2019; Zbl 1459.11209) Full Text: DOI
Skałba, M. Products of disjoint blocks of integers being high powers. (English) Zbl 1454.11007 Int. J. Number Theory 15, No. 1, 85-88 (2019). Reviewer: Maciej Ulas (Kraków) MSC: 11A05 11D57 PDFBibTeX XMLCite \textit{M. Skałba}, Int. J. Number Theory 15, No. 1, 85--88 (2019; Zbl 1454.11007) Full Text: DOI
Duran, Ugur; Acikgoz, Mehmet On applications for Mahler expansion associated with \(p\)-adic \(q\)-integrals. (English) Zbl 1405.05016 Int. J. Number Theory 15, No. 1, 67-84 (2019). MSC: 05A30 05A10 11B68 11S80 PDFBibTeX XMLCite \textit{U. Duran} and \textit{M. Acikgoz}, Int. J. Number Theory 15, No. 1, 67--84 (2019; Zbl 1405.05016) Full Text: DOI
Cerri, Jean-Paul; Lezowski, Pierre Computation of Euclidean minima in totally definite quaternion fields. (English) Zbl 1459.11236 Int. J. Number Theory 15, No. 1, 43-66 (2019). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11Y40 11R04 13F07 PDFBibTeX XMLCite \textit{J.-P. Cerri} and \textit{P. Lezowski}, Int. J. Number Theory 15, No. 1, 43--66 (2019; Zbl 1459.11236) Full Text: DOI
Guo, Victor J. W. Proof of a \(q\)-congruence conjectured by Tauraso. (English) Zbl 1467.11027 Int. J. Number Theory 15, No. 1, 37-41 (2019). Reviewer: Enzo Bonacci (Latina) MSC: 11B65 11A07 05A30 05A10 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Int. J. Number Theory 15, No. 1, 37--41 (2019; Zbl 1467.11027) Full Text: DOI
Guo, Victor J. W. A \(q\)-analogue of the (I.2) supercongruence of Van Hamme. (English) Zbl 1461.11037 Int. J. Number Theory 15, No. 1, 29-36 (2019). Reviewer: Enzo Bonacci (Latina) MSC: 11B65 11A07 05A10 05A30 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Int. J. Number Theory 15, No. 1, 29--36 (2019; Zbl 1461.11037) Full Text: DOI
Gaál, István; Jadrijević, Borka; Remete, László Simplest quartic and simplest sextic Thue equations over imaginary quadratic fields. (English) Zbl 1479.11054 Int. J. Number Theory 15, No. 1, 11-27 (2019). Reviewer: Clemens Heuberger (Klagenfurt) MSC: 11D59 11D57 PDFBibTeX XMLCite \textit{I. Gaál} et al., Int. J. Number Theory 15, No. 1, 11--27 (2019; Zbl 1479.11054) Full Text: DOI arXiv
Lü, Xiaodong; Wang, Zhiwei; Chen, Bin On the smooth values of shifted almost-primes. (English) Zbl 1459.11179 Int. J. Number Theory 15, No. 1, 1-9 (2019). MSC: 11N05 11N36 PDFBibTeX XMLCite \textit{X. Lü} et al., Int. J. Number Theory 15, No. 1, 1--9 (2019; Zbl 1459.11179) Full Text: DOI