Burnett, Joseph Vade; Osterman, Otto Vaughn A generalization of regular convolutions and Ramanujan sums. (English) Zbl 07369440 Ramanujan J. 55, No. 2, 437-445 (2021). MSC: 11N99 11A25 11N64 PDF BibTeX XML Cite \textit{J. V. Burnett} and \textit{O. V. Osterman}, Ramanujan J. 55, No. 2, 437--445 (2021; Zbl 07369440) Full Text: DOI
Wang, Yujie; Ji, Chungang A generalization of Arai-Carlitz’s identity. (English) Zbl 07345288 Ramanujan J. 53, No. 3, 585-594 (2020). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11R04 11A25 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{C. Ji}, Ramanujan J. 53, No. 3, 585--594 (2020; Zbl 07345288) Full Text: DOI
De Koninck, Jean-Marie; Kátai, Imre; Phong, Bui Minh Characterising some triplets of completely multiplicative functions. (English) Zbl 07307783 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 50, 101-112 (2020). MSC: 11A07 11A25 11N25 11N64 PDF BibTeX XML Cite \textit{J.-M. De Koninck} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 50, 101--112 (2020; Zbl 07307783) Full Text: Link
Ji, Ch.; Wang, Y. Another regular Menon-type identity in residually finite Dedekind domains. (English) Zbl 07307776 Acta Math. Hung. 162, No. 1, 117-129 (2020). Reviewer: Stelian Mihalas (Timişoara) MSC: 11A25 11B13 PDF BibTeX XML Cite \textit{Ch. Ji} and \textit{Y. Wang}, Acta Math. Hung. 162, No. 1, 117--129 (2020; Zbl 07307776) Full Text: DOI
Shen, Huijin An arithmetical function and related identity. (Chinese. English summary) Zbl 1463.11009 J. Zhejiang Univ., Sci. Ed. 47, No. 3, 297-300 (2020). MSC: 11A25 05A19 PDF BibTeX XML Cite \textit{H. Shen}, J. Zhejiang Univ., Sci. Ed. 47, No. 3, 297--300 (2020; Zbl 1463.11009) Full Text: DOI
Awel, Abdu; Küçükaslan, M. A note on statistical limit and cluster points of the arithmetical functions \((a_p(n))\), \((\gamma(n))\) and \((\tau(n))\). (English) Zbl 07289262 J. Indones. Math. Soc. 26, No. 2, 224-233 (2020). MSC: 40A35 11B05 PDF BibTeX XML Cite \textit{A. Awel} and \textit{M. Küçükaslan}, J. Indones. Math. Soc. 26, No. 2, 224--233 (2020; Zbl 07289262) Full Text: DOI
Tóth, László Menon-type identities concerning additive characters. (English) Zbl 1454.11013 Arab. J. Math. 9, No. 3, 697-705 (2020). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 11A07 11L03 PDF BibTeX XML Cite \textit{L. Tóth}, Arab. J. Math. 9, No. 3, 697--705 (2020; Zbl 1454.11013) Full Text: DOI
Zurita, Rimer Generalized alternating sums of multiplicative arithmetic functions. (English) Zbl 1446.11179 J. Integer Seq. 23, No. 10, Article 20.10.4, 18 p. (2020). MSC: 11N37 11A05 11A25 30B10 PDF BibTeX XML Cite \textit{R. Zurita}, J. Integer Seq. 23, No. 10, Article 20.10.4, 18 p. (2020; Zbl 1446.11179) Full Text: Link
Wang, Yujie; Ji, Chungang Another generalization of Menon’s identity in the ring of algebraic integers. (English) Zbl 1461.11140 Colloq. Math. 160, No. 2, 213-221 (2020). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R04 11A25 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{C. Ji}, Colloq. Math. 160, No. 2, 213--221 (2020; Zbl 1461.11140) Full Text: DOI
Indlekofer, K.-H.; Kaya, E. Remarks on the number theory over additive arithmetical semigroups. (English) Zbl 1443.11202 Ukr. Math. J. 72, No. 3, 422-445 (2020) and Ukr. Mat. Zh. 72, No. 3, 371-390 (2020). MSC: 11N80 11N37 11N45 11K65 PDF BibTeX XML Cite \textit{K. H. Indlekofer} and \textit{E. Kaya}, Ukr. Math. J. 72, No. 3, 422--445 (2020; Zbl 1443.11202) Full Text: DOI
Haukkanen, Pentti Rational arithmetical functions related to certain unitary analogs of GCD type matrices. (English) Zbl 07250417 East-West J. Math. 22, No. 1, 64-75 (2020). MSC: 11A25 11C20 15B36 PDF BibTeX XML Cite \textit{P. Haukkanen}, East-West J. Math. 22, No. 1, 64--75 (2020; Zbl 07250417) Full Text: DOI Link
Mahanta, Pankaj Jyoti; Saikia, Manjil P.; Yaqubi, Daniel Some properties of Zumkeller numbers and \(k\)-layered numbers. (English) Zbl 07242307 J. Number Theory 217, 218-236 (2020). MSC: 11A25 11B75 11D99 PDF BibTeX XML Cite \textit{P. J. Mahanta} et al., J. Number Theory 217, 218--236 (2020; Zbl 07242307) Full Text: DOI
Muth, Philipp; Steuding, Jörn Joint value-distribution of Dirichlet series associated with periodic arithmetical functions. (English) Zbl 1462.11065 Funct. Approximatio, Comment. Math. 62, No. 1, 63-79 (2020). Reviewer: Stelian Mihalas (Timişoara) MSC: 11M06 PDF BibTeX XML Cite \textit{P. Muth} and \textit{J. Steuding}, Funct. Approximatio, Comment. Math. 62, No. 1, 63--79 (2020; Zbl 1462.11065) Full Text: DOI Euclid
Haukkanen, Pentti On the Kesava Menon norm of semimultiplicative functions. (English) Zbl 1446.11008 Aequationes Math. 94, No. 1, 71-81 (2020). Reviewer: Mahadi Ddamulira (Saarbrücken) MSC: 11A25 PDF BibTeX XML Cite \textit{P. Haukkanen}, Aequationes Math. 94, No. 1, 71--81 (2020; Zbl 1446.11008) Full Text: DOI
Wang, Yujie; Ji, Chungang Ramanujan’s sum in the ring of integers of an algebraic number field. (English) Zbl 07164129 Int. J. Number Theory 16, No. 1, 65-76 (2020). MSC: 11A25 11R04 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{C. Ji}, Int. J. Number Theory 16, No. 1, 65--76 (2020; Zbl 07164129) Full Text: DOI
Gritsenko, Sergeĭ Aleksandrovich; Deza, Elena Ivanovna; Varukhina, Lidiya Vladimirovna On behavior of arithmetical functions, related to Chebyshev function. (Russian. English summary) Zbl 1434.11176 Chebyshevskiĭ Sb. 20, No. 3(71), 154-164 (2019). MSC: 11M06 11N37 PDF BibTeX XML Cite \textit{S. A. Gritsenko} et al., Chebyshevskiĭ Sb. 20, No. 3(71), 154--164 (2019; Zbl 1434.11176) Full Text: DOI MNR
He, Bing; Zhang, Ruiming Infinite sums for Fibonacci polynomials and Lucas polynomials. (English) Zbl 07150325 Ramanujan J. 50, No. 3, 621-637 (2019). Reviewer: Krassimir Atanassov (Sofia) MSC: 11B39 11A25 11F27 PDF BibTeX XML Cite \textit{B. He} and \textit{R. Zhang}, Ramanujan J. 50, No. 3, 621--637 (2019; Zbl 07150325) Full Text: DOI
Burnett, Joseph Vade; Osterman, Otto Vaughn; Lewandowski, Reece On a special class of \(A\)-functions. (English) Zbl 1459.11012 New York J. Math. 25, 1405-1420 (2019). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11A25 PDF BibTeX XML Cite \textit{J. V. Burnett} et al., New York J. Math. 25, 1405--1420 (2019; Zbl 1459.11012) Full Text: Link
Aldi, Marco; Tan, Hanqiu Asymptotic expansion of Warlimont functions on Wright semigroups. (English) Zbl 1428.05022 Involve 12, No. 7, 1081-1098 (2019). MSC: 05A16 05C30 11T06 11N37 20M05 PDF BibTeX XML Cite \textit{M. Aldi} and \textit{H. Tan}, Involve 12, No. 7, 1081--1098 (2019; Zbl 1428.05022) Full Text: DOI
Mattila, Mika; Haukkanen, Pentti A notion of positive definiteness for arithmetical functions. (English) Zbl 1447.11005 Ahmed, S. Ejaz (ed.) et al., Matrices, statistics and big data. Selected contributions from IWMS 2016, the 25th international workshop on matrices and statistics, Funchal, Madeira, Portugal, June 6–9, 2016. Cham: Springer. Contrib. Stat., 61-74 (2019). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11A25 11C20 15B36 06A07 PDF BibTeX XML Cite \textit{M. Mattila} and \textit{P. Haukkanen}, in: Matrices, statistics and big data. Selected contributions from IWMS 2016, the 25th international workshop on matrices and statistics, Funchal, Madeira, Portugal, June 6--9, 2016. Cham: Springer. 61--74 (2019; Zbl 1447.11005) Full Text: DOI
Stakėnas, Vilius The Cantor expansions, rational numbers, arithmetical functions. (English) Zbl 1457.11108 Lith. Math. J. 59, No. 2, 213-228 (2019). MSC: 11K65 11N37 11N60 PDF BibTeX XML Cite \textit{V. Stakėnas}, Lith. Math. J. 59, No. 2, 213--228 (2019; Zbl 1457.11108) Full Text: DOI
Burnett, Joseph Vade; Osterman, Otto Vaughn A generalization of the infinitary divisibility relation: algebraic and analytic properties. (English) Zbl 1442.11010 Int. J. Number Theory 15, No. 9, 1771-1792 (2019). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 11N37 11A51 PDF BibTeX XML Cite \textit{J. V. Burnett} and \textit{O. V. Osterman}, Int. J. Number Theory 15, No. 9, 1771--1792 (2019; Zbl 1442.11010) Full Text: DOI
Bogart, Tristram; Mantilla-Soler, Guillermo An \(\ell-p\) switch trick to obtain a new proof of a criterion for arithmetic equivalence. (English) Zbl 07086415 Res. Number Theory 5, No. 1, Paper No. 1, 5 p. (2019). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R04 11R42 PDF BibTeX XML Cite \textit{T. Bogart} and \textit{G. Mantilla-Soler}, Res. Number Theory 5, No. 1, Paper No. 1, 5 p. (2019; Zbl 07086415) Full Text: DOI
Kucukoglu, Irem; Simsek, Yilmaz On interpolation functions for the number of \(k\)-ary Lyndon words associated with the Apostol-Euler numbers and their applications. (English) Zbl 1419.05019 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 1, 281-297 (2019). MSC: 05A15 05A05 11B68 11B83 11M35 11A25 68R15 PDF BibTeX XML Cite \textit{I. Kucukoglu} and \textit{Y. Simsek}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 1, 281--297 (2019; Zbl 1419.05019) Full Text: DOI
Cakalli, Huseyin Corrigendum to: “A variation on arithmetic continuity”. (English) Zbl 1413.40002 Bol. Soc. Parana. Mat. (3) 37, No. 2, 179-181 (2019). MSC: 40A05 26A15 PDF BibTeX XML Cite \textit{H. Cakalli}, Bol. Soc. Parana. Mat. (3) 37, No. 2, 179--181 (2019; Zbl 1413.40002) Full Text: Link
Deza, Elena Ivanovna; Varukhina, Lidiya Vladimirovna Problems of the summation of arithmetical sums, relative to Chebyshev function. (Russian. English summary) Zbl 1439.11199 Chebyshevskiĭ Sb. 19, No. 2(66), 319-333 (2018). MSC: 11M06 11N37 PDF BibTeX XML Cite \textit{E. I. Deza} and \textit{L. V. Varukhina}, Chebyshevskiĭ Sb. 19, No. 2(66), 319--333 (2018; Zbl 1439.11199) Full Text: DOI MNR
Sándor, József A note on some congruences involving arithmetic functions. (English) Zbl 1448.11010 Hardy-Ramanujan J. 41, 133-139 (2018). Reviewer: Krassimir Atanassov (Sofia) MSC: 11A25 11A07 11D45 PDF BibTeX XML Cite \textit{J. Sándor}, Hardy-Ramanujan J. 41, 133--139 (2018; Zbl 1448.11010) Full Text: Link
Maruyama, Fumitsuna; Deguchi, Yozo; Toyoizumi, Masao On the cardinality of subsets of the matrix ring over certain residue ring. (English) Zbl 1417.15046 JP J. Algebra Number Theory Appl. 40, No. 6, 1079-1087 (2018). MSC: 15B33 15B36 11A25 11C20 PDF BibTeX XML Cite \textit{F. Maruyama} et al., JP J. Algebra Number Theory Appl. 40, No. 6, 1079--1087 (2018; Zbl 1417.15046) Full Text: DOI
Kucukoglu, Irem; Simsek, Yilmaz Numerical evaluation of special power series including the numbers of Lyndon words: an approach to interpolation functions for Apostol-type numbers and polynomials. (English) Zbl 07012427 ETNA, Electron. Trans. Numer. Anal. 50, 98-108 (2018). MSC: 68R15 05A15 11A25 11B68 11B83 11S40 11Y16 65Q30 PDF BibTeX XML Cite \textit{I. Kucukoglu} and \textit{Y. Simsek}, ETNA, Electron. Trans. Numer. Anal. 50, 98--108 (2018; Zbl 07012427) Full Text: DOI Link
Shi, San Ying; Weber, Michel On the equation \(n_1n_2 = n_3n_4\) restricted to factor closed sets. (English) Zbl 1404.11030 Acta Math. Sin., Engl. Ser. 34, No. 10, 1517-1530 (2018). MSC: 11D57 11A25 PDF BibTeX XML Cite \textit{S. Y. Shi} and \textit{M. Weber}, Acta Math. Sin., Engl. Ser. 34, No. 10, 1517--1530 (2018; Zbl 1404.11030) Full Text: DOI
Haukkanen, Pentti; Tóth, László Inertia, positive definiteness and \(\ell_p\) norm of GCD and LCM matrices and their unitary analogs. (English) Zbl 1403.15027 Linear Algebra Appl. 558, 1-24 (2018). Reviewer: Yansheng Wu (Nanjing) MSC: 15B36 11C20 11A25 11N37 PDF BibTeX XML Cite \textit{P. Haukkanen} and \textit{L. Tóth}, Linear Algebra Appl. 558, 1--24 (2018; Zbl 1403.15027) Full Text: DOI
Li, Yan; Kim, Daeyeoul Menon-type identities with additive characters. (English) Zbl 1442.11008 J. Number Theory 192, 373-385 (2018). MSC: 11A07 11A25 PDF BibTeX XML Cite \textit{Y. Li} and \textit{D. Kim}, J. Number Theory 192, 373--385 (2018; Zbl 1442.11008) Full Text: DOI
Kaya, Erdener; Wagner, Robert On some results of indlekofer for multiplicative functions. (English) Zbl 1413.11094 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 48, 17-29 (2018). Reviewer: Florian Luca (Johannesburg) MSC: 11K65 11N37 11N45 11M45 11T55 20M14 40E05 60C05 PDF BibTeX XML Cite \textit{E. Kaya} and \textit{R. Wagner}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 48, 17--29 (2018; Zbl 1413.11094)
Bareikis, Gintautas; Mačiulis, Algirdas Beta distribution on arithmetical semigroups. (English) Zbl 1413.11113 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 47, 147-154 (2018). Reviewer: Ramūnas Garunkštis (Vilnius) MSC: 11N45 11N80 11K65 PDF BibTeX XML Cite \textit{G. Bareikis} and \textit{A. Mačiulis}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 47, 147--154 (2018; Zbl 1413.11113)
Haukkanen, Pentti Derivation of arithmetical functions under the Dirichlet convolution. (English) Zbl 1456.11006 Int. J. Number Theory 14, No. 5, 1257-1264 (2018). Reviewer: Emre Alkan (Istanbul) MSC: 11A25 PDF BibTeX XML Cite \textit{P. Haukkanen}, Int. J. Number Theory 14, No. 5, 1257--1264 (2018; Zbl 1456.11006) Full Text: DOI
Bajnok, Béla Additive combinatorics. A menu of research problems. (English) Zbl 1415.11001 Discrete Mathematics and Its Applications. Boca Raton, FL: CRC Press (ISBN 978-0-8153-5301-0/hbk; 978-1-351-13761-4/ebook). xix, 390 p. (2018). Reviewer: Štefan Porubský (Praha) MSC: 11-02 05-02 11B30 05D05 05A15 06A07 11B13 11P70 20D60 20K01 51E05 52-02 PDF BibTeX XML Cite \textit{B. Bajnok}, Additive combinatorics. A menu of research problems. Boca Raton, FL: CRC Press (2018; Zbl 1415.11001) Full Text: Link
Baláž, V.; Gogola, J.; Visnyai, T. \(\mathcal{I}_c^{(q)}\)-convergence of arithmetical functions. (English) Zbl 1432.40004 J. Number Theory 183, 74-83 (2018). MSC: 40A35 11A25 PDF BibTeX XML Cite \textit{V. Baláž} et al., J. Number Theory 183, 74--83 (2018; Zbl 1432.40004) Full Text: DOI
Cakalli, Huseyin A variation on arithmetic continuity. (English) Zbl 07343559 Bol. Soc. Parana. Mat. (3) 35, No. 3, 195-202 (2017). MSC: 40A35 40A05 26A15 PDF BibTeX XML Cite \textit{H. Cakalli}, Bol. Soc. Parana. Mat. (3) 35, No. 3, 195--202 (2017; Zbl 07343559) Full Text: Link
Zhu, Xiaojie; Yao, Weili Counting problem in multiplicative subsemigroups of positive integers. (Chinese. English summary) Zbl 1399.11162 J. Shanghai Univ., Nat. Sci. 23, No. 5, 722-731 (2017). MSC: 11N37 11N45 PDF BibTeX XML Cite \textit{X. Zhu} and \textit{W. Yao}, J. Shanghai Univ., Nat. Sci. 23, No. 5, 722--731 (2017; Zbl 1399.11162) Full Text: DOI
Apostol, Brăduţ Asymptotic properties of some functions related to regular integers modulo \(n\). (English) Zbl 1399.11007 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 60(108), No. 3, 221-231 (2017). MSC: 11A25 11N37 PDF BibTeX XML Cite \textit{B. Apostol}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 60(108), No. 3, 221--231 (2017; Zbl 1399.11007)
Letaïef, Khaled Ben All associated Stirling numbers are arithmetical triangles. (English) Zbl 1397.11058 Notes Number Theory Discrete Math. 23, No. 3, 27-34 (2017). MSC: 11B73 05A10 11B65 PDF BibTeX XML Cite \textit{K. B. Letaïef}, Notes Number Theory Discrete Math. 23, No. 3, 27--34 (2017; Zbl 1397.11058) Full Text: Link
Kucukoglu, Irem; Bayad, Abdelmejid; Simsek, Yilmaz \(k\)-ary Lyndon words and necklaces arising as rational arguments of Hurwitz-Lerch zeta function and Apostol-Bernoulli polynomials. (English) Zbl 1404.05010 Mediterr. J. Math. 14, No. 6, Paper No. 223, 16 p. (2017). MSC: 05A15 11A25 11B68 11B83 11M35 68R15 PDF BibTeX XML Cite \textit{I. Kucukoglu} et al., Mediterr. J. Math. 14, No. 6, Paper No. 223, 16 p. (2017; Zbl 1404.05010) Full Text: DOI
Fujisawa, Yusuke On some arithmetical functions and the number of pure number fields. (English) Zbl 1425.11162 Colloq. Math. 149, No. 2, 275-290 (2017). MSC: 11N45 11R20 11A25 11R42 PDF BibTeX XML Cite \textit{Y. Fujisawa}, Colloq. Math. 149, No. 2, 275--290 (2017; Zbl 1425.11162) Full Text: DOI
Kiuchi, Isao On sums of averages of generalized Ramanujan sums. (English) Zbl 1425.11160 Tokyo J. Math. 40, No. 1, 255-275 (2017). Reviewer: Emre Alkan (Istanbul) MSC: 11N37 11A25 11B68 PDF BibTeX XML Cite \textit{I. Kiuchi}, Tokyo J. Math. 40, No. 1, 255--275 (2017; Zbl 1425.11160) Full Text: DOI Euclid
Kiuchi, Isao Sums of averages of generalized Ramanujan sums. (English) Zbl 1421.11009 J. Number Theory 180, 310-348 (2017). MSC: 11A25 11N37 11P99 PDF BibTeX XML Cite \textit{I. Kiuchi}, J. Number Theory 180, 310--348 (2017; Zbl 1421.11009) Full Text: DOI
Haukkanen, Pentti An arithmetical equation with respect to regular convolutions. (English) Zbl 1428.11016 Aequationes Math. 91, No. 3, 527-536 (2017). MSC: 11A25 PDF BibTeX XML Cite \textit{P. Haukkanen}, Aequationes Math. 91, No. 3, 527--536 (2017; Zbl 1428.11016) Full Text: DOI
Kiuchi, Isao Sums of averages of gcd-sum functions. (English) Zbl 1422.11198 J. Number Theory 176, 449-472 (2017). MSC: 11N37 11A25 11P99 PDF BibTeX XML Cite \textit{I. Kiuchi}, J. Number Theory 176, 449--472 (2017; Zbl 1422.11198) Full Text: DOI
Haffner, Emmylou Strategical use(s) of arithmetic in Richard Dedekind and Heinrich Weber’s Theorie der algebraischen Funktionen einer Veränderlichen. (English) Zbl 1367.01016 Hist. Math. 44, No. 1, 31-69 (2017). Reviewer: Nicola Oswald (Wuppertal) MSC: 01A55 PDF BibTeX XML Cite \textit{E. Haffner}, Hist. Math. 44, No. 1, 31--69 (2017; Zbl 1367.01016) Full Text: DOI
Khoshnoudirad, Daniel Erratum to: “A further study for the upper bound of the cardinality of Farey vertices and applications in discrete geometry”. (English) Zbl 1425.05010 J. Algebra Comb. Discrete Struct. Appl. 3, No. 2, 105-123 (2016). MSC: 05A15 05A16 05A19 05C30 68R01 68R05 68R10 PDF BibTeX XML Cite \textit{D. Khoshnoudirad}, J. Algebra Comb. Discrete Struct. Appl. 3, No. 2, 105--123 (2016; Zbl 1425.05010) Full Text: DOI
Adhikari, S. D.; Ramana, D. S. Some omega results and related questions connected to R. Balasubramanian’s mathematical work. (English) Zbl 1418.11002 Murty, Vijaya Kumar (ed.) et al., Highly composite: papers in number theory. On the occasion of R. Balsubramanian’s 60th birth anniversary. Including papers from the international meeting on number theory, Harish-Chandra Research Institute, Allahabad, India, December 15–20, 2011. Mysore: Ramanujan Mathematical Society. Ramanujan Math. Soc. Lect. Notes Ser. 23, 1-11 (2016). MSC: 11-02 11-03 11N37 PDF BibTeX XML Cite \textit{S. D. Adhikari} and \textit{D. S. Ramana}, Ramanujan Math. Soc. Lect. Notes Ser. 23, 1--11 (2016; Zbl 1418.11002)
Khanh, Bui Minh Mai Characterization of arithmetical functions with functional equation. (English) Zbl 1389.11008 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 45, 223-237 (2016). MSC: 11A25 11A67 11K65 PDF BibTeX XML Cite \textit{B. M. M. Khanh}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 45, 223--237 (2016; Zbl 1389.11008)
Indlekofer, Karl-Heinz Arithmetic functions: a pivotal topic in the scientific work of Wolfgang Schwarz. (English) Zbl 1366.11102 Sander, Jürgen (ed.) et al., From arithmetic to zeta-functions. Number theory in memory of Wolfgang Schwarz. Cham: Springer (ISBN 978-3-319-28202-2/hbk; 978-3-319-28203-9/ebook). 179-199 (2016). MSC: 11N37 11K65 11N64 11-03 PDF BibTeX XML Cite \textit{K.-H. Indlekofer}, in: From arithmetic to zeta-functions. Number theory in memory of Wolfgang Schwarz. Cham: Springer. 179--199 (2016; Zbl 1366.11102) Full Text: DOI
Elsner, Carsten On error sum functions for approximations with arithmetic conditions. (English) Zbl 1407.11086 Sander, Jürgen (ed.) et al., From arithmetic to zeta-functions. Number theory in memory of Wolfgang Schwarz. Cham: Springer. 121-140 (2016). MSC: 11J04 11J70 PDF BibTeX XML Cite \textit{C. Elsner}, in: From arithmetic to zeta-functions. Number theory in memory of Wolfgang Schwarz. Cham: Springer. 121--140 (2016; Zbl 1407.11086) Full Text: DOI
Nigiyan, S. A. On \(\lambda\)-definability of arithmetical functions with indeterminate values of arguments. (English) Zbl 1347.68123 Proc. Yerevan State Univ., Phys. Math. Sci. 2016, No. 2(240), 39-47 (2016). MSC: 68Q01 68Q05 PDF BibTeX XML Cite \textit{S. A. Nigiyan}, Proc. Yerevan State Univ., Phys. Math. Sci. 2016, No. 2(240), 39--47 (2016; Zbl 1347.68123)
Ikeda, Soichi; Kiuchi, Isao; Matsuoka, Kaneaki Sums of products of generalized Ramanujan sums. (English) Zbl 1415.11013 J. Integer Seq. 19, No. 2, Article 16.2.7, 22 p. (2016). MSC: 11A25 11B68 PDF BibTeX XML Cite \textit{S. Ikeda} et al., J. Integer Seq. 19, No. 2, Article 16.2.7, 22 p. (2016; Zbl 1415.11013) Full Text: EMIS
Berman, Joel Maximal \(n\)-generated subdirect products. (English) Zbl 1345.08008 Int. J. Algebra Comput. 26, No. 1, 123-155 (2016). Reviewer: Anna Zamojska-Dzienio (Warsaw) MSC: 08B26 08A30 08A40 08B20 03C05 05A15 PDF BibTeX XML Cite \textit{J. Berman}, Int. J. Algebra Comput. 26, No. 1, 123--155 (2016; Zbl 1345.08008) Full Text: DOI
Platt, D. J.; Trudgian, T. S. On the first sign change of \(\theta(x) -x\). (English) Zbl 1409.11065 Math. Comput. 85, No. 299, 1539-1547 (2016). MSC: 11M26 11Y35 PDF BibTeX XML Cite \textit{D. J. Platt} and \textit{T. S. Trudgian}, Math. Comput. 85, No. 299, 1539--1547 (2016; Zbl 1409.11065) Full Text: DOI
Weber, Michel J. G. An arithmetical approach to the convergence problem of series of dilated functions and its connection with the Riemann zeta function. (English) Zbl 1381.40004 J. Number Theory 162, 137-179 (2016). Reviewer: Łukasz Pańkowski (Poznań) MSC: 40A05 11M06 PDF BibTeX XML Cite \textit{M. J. G. Weber}, J. Number Theory 162, 137--179 (2016; Zbl 1381.40004) Full Text: DOI
Nourani, Cyrus F. Algebraic computability and enumeration models. Recursion theory and descriptive complexity. (English) Zbl 1439.03006 Boca Raton, FL: CRC Press/Apple Academic Press (ISBN 978-1-77188-247-7/hbk; 978-1-77188-248-4/ebook). xiv, 295 p. (2016). MSC: 03-02 03D20 03D15 03D65 PDF BibTeX XML Cite \textit{C. F. Nourani}, Algebraic computability and enumeration models. Recursion theory and descriptive complexity. Boca Raton, FL: CRC Press/Apple Academic Press (2016; Zbl 1439.03006) Full Text: DOI
Chubarikov, V. N. The rate of convergence of the average value of the full rational arithmetic sums. (Russian. English summary) Zbl 1435.11127 Chebyshevskiĭ Sb. 16, No. 4(56), 303-318 (2015). MSC: 11L99 11B68 33B15 PDF BibTeX XML Cite \textit{V. N. Chubarikov}, Chebyshevskiĭ Sb. 16, No. 4(56), 303--318 (2015; Zbl 1435.11127) Full Text: DOI MNR
Chubarikov, V. N. Elementary of the complete rational arithmetical sums. (Russian. English summary) Zbl 1437.11005 Chebyshevskiĭ Sb. 16, No. 3(55), 450-459 (2015). MSC: 11A25 11A15 11B68 PDF BibTeX XML Cite \textit{V. N. Chubarikov}, Chebyshevskiĭ Sb. 16, No. 3(55), 450--459 (2015; Zbl 1437.11005) Full Text: DOI MNR
Gnang, Edinah K.; Radziwiłł, Maksym; Sanna, Carlo Counting arithmetic formulas. (English) Zbl 1401.05023 Eur. J. Comb. 47, 40-53 (2015). MSC: 05A15 39A05 PDF BibTeX XML Cite \textit{E. K. Gnang} et al., Eur. J. Comb. 47, 40--53 (2015; Zbl 1401.05023) Full Text: DOI arXiv
Khoshnoudirad, Daniel A further study for the upper bound of the cardinality of Farey vertices and application in discrete geometry. (English) Zbl 1344.05015 J. Algebra Comb. Discrete Struct. Appl. 2, No. 3, 169-190 (2015). MSC: 05A15 05A16 05A19 05C30 68R01 68R05 68R10 PDF BibTeX XML Cite \textit{D. Khoshnoudirad}, J. Algebra Comb. Discrete Struct. Appl. 2, No. 3, 169--190 (2015; Zbl 1344.05015) Full Text: DOI
Zhou, Guangya; Huang, Wei The mean value of some composite functions with the \(r\) angular number’s complements sequence. (Chinese. English summary) Zbl 1349.11058 Math. Pract. Theory 45, No. 4, 313-318 (2015). MSC: 11B83 PDF BibTeX XML Cite \textit{G. Zhou} and \textit{W. Huang}, Math. Pract. Theory 45, No. 4, 313--318 (2015; Zbl 1349.11058)
Berndt, Bruce C.; Kim, Sun Identities for logarithmic means: a survey. (English) Zbl 1382.11072 Alaca, Ayşe (ed.) et al., Advances in the theory of numbers. Proceedings of the thirteenth conference of the Canadian Number Theory Association, CNTA, Ottawa, Canada, June 16–20, 2014. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer (ISBN 978-1-4939-3200-9/hbk; 978-1-4939-3201-6/ebook). Fields Institute Communications 77, 1-10 (2015). MSC: 11M41 11N37 11-02 PDF BibTeX XML Cite \textit{B. C. Berndt} and \textit{S. Kim}, Fields Inst. Commun. 77, 1--10 (2015; Zbl 1382.11072) Full Text: DOI
Kátai, Imre; Phong, Bui Minh A consequence of the ternary Goldbach theorem. (English) Zbl 1349.11005 Publ. Math. 86, No. 3-4, 465-471 (2015). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11A25 11A67 11K65 30D05 11P32 PDF BibTeX XML Cite \textit{I. Kátai} and \textit{B. M. Phong}, Publ. Math. 86, No. 3--4, 465--471 (2015; Zbl 1349.11005) Full Text: DOI
Fujisawa, Yusuke On sums of generalized Ramanujan sums. (English) Zbl 1385.11053 Indian J. Pure Appl. Math. 46, No. 1, 1-10 (2015). MSC: 11L40 11N37 11N56 PDF BibTeX XML Cite \textit{Y. Fujisawa}, Indian J. Pure Appl. Math. 46, No. 1, 1--10 (2015; Zbl 1385.11053) Full Text: DOI arXiv
Kalinina, I. S.; Marchenkov, S. S. On complexity of problem of satisfiability for systems of countable-valued functional equations. (English. Russian original) Zbl 1337.39006 Russ. Math. 59, No. 8, 19-24 (2015); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 8, 25–32 (2015). Reviewer: Hark-Mahn Kim (Daejeon) MSC: 39B72 39B32 PDF BibTeX XML Cite \textit{I. S. Kalinina} and \textit{S. S. Marchenkov}, Russ. Math. 59, No. 8, 19--24 (2015; Zbl 1337.39006); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 8, 25--32 (2015) Full Text: DOI
Nigiyan, S. A. On non-classical theory of computability. (English) Zbl 1325.03043 Proc. Yerevan State Univ., Phys. Math. Sci. 2015, No. 1(236), 52-60 (2015). MSC: 03D20 PDF BibTeX XML Cite \textit{S. A. Nigiyan}, Proc. Yerevan State Univ., Phys. Math. Sci. 2015, No. 1(236), 52--60 (2015; Zbl 1325.03043) Full Text: MNR
Ih, Su-Ion Integral points on the Chebyshev dynamical systems. (English) Zbl 1392.37105 J. Korean Math. Soc. 52, No. 5, 955-964 (2015). MSC: 37P05 11G50 14G05 14G40 37P30 37P35 PDF BibTeX XML Cite \textit{S.-I. Ih}, J. Korean Math. Soc. 52, No. 5, 955--964 (2015; Zbl 1392.37105) Full Text: DOI Link
Bareikis, Gintautas; Mačiulis, Algirdas On the second moment of an arithmetical process related to the natural divisors. (English) Zbl 1390.11114 Ramanujan J. 37, No. 1, 1-24 (2015). MSC: 11N37 11K65 60F17 PDF BibTeX XML Cite \textit{G. Bareikis} and \textit{A. Mačiulis}, Ramanujan J. 37, No. 1, 1--24 (2015; Zbl 1390.11114) Full Text: DOI
Sándor, József On an arithmetic inequality. (English) Zbl 1340.11008 An. Ştiinţ. Univ. “Ovidius” Constanţa, Ser. Mat. 22, No. 1, 257-261 (2014). MSC: 11A25 PDF BibTeX XML Cite \textit{J. Sándor}, An. Ştiinţ. Univ. ``Ovidius'' Constanţa, Ser. Mat. 22, No. 1, 257--261 (2014; Zbl 1340.11008)
Hilberdink, Titus Maximal order of a class of multiplicative functions. (English) Zbl 1313.11117 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 43, 217-237 (2014). MSC: 11N56 11N37 PDF BibTeX XML Cite \textit{T. Hilberdink}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 43, 217--237 (2014; Zbl 1313.11117)
Grytczuk, A.; Kurzydło, I. On a conjecture connected with the composition of \(\sigma(n)\) and \(\varphi(n)\). (English) Zbl 1313.11013 Southeast Asian Bull. Math. 38, No. 2, 217-223 (2014). MSC: 11A25 11N37 PDF BibTeX XML Cite \textit{A. Grytczuk} and \textit{I. Kurzydło}, Southeast Asian Bull. Math. 38, No. 2, 217--223 (2014; Zbl 1313.11013)
Kalociński, Dariusz On computability and learnability of the pumping lemma function. (English) Zbl 1407.68260 Dediu, Adrian-Horia (ed.) et al., Language and automata theory and applications. 8th international conference, LATA 2014, Madrid, Spain, March 10–14, 2014. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 8370, 433-440 (2014). MSC: 68Q45 03D20 68Q32 PDF BibTeX XML Cite \textit{D. Kalociński}, Lect. Notes Comput. Sci. 8370, 433--440 (2014; Zbl 1407.68260) Full Text: DOI
Mehta, J. On arithmetical functions having constant values in some domain. (English) Zbl 1313.11018 Acta Math. Hung. 142, No. 1, 110-117 (2014). Reviewer: Jürgen Spilker (Freiburg i. Br.) MSC: 11A25 11N64 PDF BibTeX XML Cite \textit{J. Mehta}, Acta Math. Hung. 142, No. 1, 110--117 (2014; Zbl 1313.11018) Full Text: DOI
Miguel, C. Menon’s identity in residually finite Dedekind domains. (English) Zbl 1293.11008 J. Number Theory 137, 179-185 (2014). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 20D99 PDF BibTeX XML Cite \textit{C. Miguel}, J. Number Theory 137, 179--185 (2014; Zbl 1293.11008) Full Text: DOI
Grytczuk, Aleksander On the composition of the functions \(\sigma\) and \(\varphi\) on the set \(Z^+_s(P^*)\). (English) Zbl 1329.11005 Notes Number Theory Discrete Math. 19, No. 1, 14-18 (2013). MSC: 11A25 11N37 PDF BibTeX XML Cite \textit{A. Grytczuk}, Notes Number Theory Discrete Math. 19, No. 1, 14--18 (2013; Zbl 1329.11005) Full Text: Link
Apostol, Brăduţ Extremal orders of some functions connected to regular integers modulo \(n\). (English) Zbl 1313.11009 An. Ştiinţ. Univ. “Ovidius” Constanţa, Ser. Mat. 21, No. 2, 5-19 (2013). MSC: 11A25 11N37 PDF BibTeX XML Cite \textit{B. Apostol}, An. Ştiinţ. Univ. ``Ovidius'' Constanţa, Ser. Mat. 21, No. 2, 5--19 (2013; Zbl 1313.11009)
Indlekofer, Karl-Heinz Remarks on Tauberian theorems for exp-log functions. (English) Zbl 1304.40004 Šiauliai Math. Semin. 8(16), 83-93 (2013). Reviewer: İbrahim Çanak (İzmir) MSC: 11M45 40E05 11N45 05A15 PDF BibTeX XML Cite \textit{K.-H. Indlekofer}, Šiauliai Math. Semin. 8(16), 83--93 (2013; Zbl 1304.40004) Full Text: Link
Tohkailin, Mitsul; Ozaki, Manabu Characterization of arithmetical equivalence of number fields by Galois groups with restricted ramification. (English) Zbl 1286.11191 Tokyo J. Math. 36, No. 2, 347-354 (2013). MSC: 11R42 11R99 PDF BibTeX XML Cite \textit{M. Tohkailin} and \textit{M. Ozaki}, Tokyo J. Math. 36, No. 2, 347--354 (2013; Zbl 1286.11191) Full Text: DOI Euclid
Apostol, Brăduţ; Petrescu, Lucian Extremal orders of certain functions associated with regular integers (mod \(n\)). (English) Zbl 1342.11006 J. Integer Seq. 16, No. 7, Article 13.7.5, 13 p. (2013). MSC: 11A25 11N37 PDF BibTeX XML Cite \textit{B. Apostol} and \textit{L. Petrescu}, J. Integer Seq. 16, No. 7, Article 13.7.5, 13 p. (2013; Zbl 1342.11006) Full Text: EMIS
Indlekofer, Karl-Heinz; Wagner, Robert About positive linear functionals on spaces of arithmetical functions. (English) Zbl 1289.11046 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 40, 295-306 (2013). MSC: 11K65 PDF BibTeX XML Cite \textit{K.-H. Indlekofer} and \textit{R. Wagner}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 40, 295--306 (2013; Zbl 1289.11046)
Barát, Anna; Indlekofer, Karl-Heinz Mean-value theorems for uniformly summable multiplicative functions on additive arithmetical semigroups. (English) Zbl 1326.11056 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 40, 105-122 (2013). Reviewer: Štefan Porubský (Praha) MSC: 11N37 11T55 30B30 PDF BibTeX XML Cite \textit{A. Barát} and \textit{K.-H. Indlekofer}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 40, 105--122 (2013; Zbl 1326.11056)
Gnang, Edinah K.; Zeilberger, Doron Zeroless arithmetic: representing integers ONLY using ONE. (English) Zbl 1280.39001 J. Difference Equ. Appl. 19, No. 11, 1921-1926 (2013). MSC: 39A05 05A15 65C10 65Q30 90C39 PDF BibTeX XML Cite \textit{E. K. Gnang} and \textit{D. Zeilberger}, J. Difference Equ. Appl. 19, No. 11, 1921--1926 (2013; Zbl 1280.39001) Full Text: DOI arXiv
Zaharescu, Alexandru; Zaki, Mohammad On the radical of linear forms over the ring of arithmetical functions. (English) Zbl 1365.11007 Kumamoto J. Math. 26, 1-8 (2013). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11A25 12E99 13F15 PDF BibTeX XML Cite \textit{A. Zaharescu} and \textit{M. Zaki}, Kumamoto J. Math. 26, 1--8 (2013; Zbl 1365.11007) Full Text: Link
Guersenzvaig, Natalio H. Simple arithmetical criteria for irreducibility of polynomials with integer coefficients. (English) Zbl 1283.11151 Integers 13, Paper A01, 21 p. (2013). MSC: 11R09 12Y05 12D05 11A25 PDF BibTeX XML Cite \textit{N. H. Guersenzvaig}, Integers 13, Paper A01, 21 p. (2013; Zbl 1283.11151) Full Text: EMIS
Elsholtz, Christian; Tao, Terence Counting the number of solutions to the Erdős-Straus equation on unit fractions. (English) Zbl 1304.11018 J. Aust. Math. Soc. 94, No. 1, 50-105 (2013). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11D68 11N37 11D72 11N56 PDF BibTeX XML Cite \textit{C. Elsholtz} and \textit{T. Tao}, J. Aust. Math. Soc. 94, No. 1, 50--105 (2013; Zbl 1304.11018) Full Text: DOI arXiv
Bareikis, Gintautas; Mačiulis, Algirdas On the number of divisors in arithmetical semigroups. (English) Zbl 1274.11149 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 39, 35-44 (2013). MSC: 11N45 11N80 11K65 PDF BibTeX XML Cite \textit{G. Bareikis} and \textit{A. Mačiulis}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 39, 35--44 (2013; Zbl 1274.11149)
Barát, A.; Kaya, E. On the models of Indlekofer and Kubilius in probabilistic number theory. (English) Zbl 1274.11125 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 39, 17-34 (2013). MSC: 11K65 11N64 PDF BibTeX XML Cite \textit{A. Barát} and \textit{E. Kaya}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 39, 17--34 (2013; Zbl 1274.11125)
Broughan, Kevin; Ford, Kevin; Luca, Florian On square values of the product of the Euler totient and sum of divisors functions. (English) Zbl 1286.11005 Colloq. Math. 130, No. 1, 127-137 (2013). Reviewer: Mehdi Hassani (Zanjan) MSC: 11A25 11A41 PDF BibTeX XML Cite \textit{K. Broughan} et al., Colloq. Math. 130, No. 1, 127--137 (2013; Zbl 1286.11005) Full Text: DOI
Tenenbaum, Gérald A note on the distribution of some additive functions. (English) Zbl 1297.11126 Proc. Steklov Inst. Math. 276, 257-260 (2012) and Tr. Mat. Inst. Steklova 276, 262-265 (2012). MSC: 11N37 11N25 PDF BibTeX XML Cite \textit{G. Tenenbaum}, Proc. Steklov Inst. Math. 276, 257--260 (2012; Zbl 1297.11126) Full Text: DOI
Luca, Florian; Stănică, Pantelimon On some conjectures on the monotonicity of some arithmetical sequences. (English) Zbl 1339.11038 J. Comb. Number Theory 4, No. 2, 115-123 (2012). Reviewer: Stephan Wagner (Stellenbosch) MSC: 11B83 11B65 11B68 05A10 PDF BibTeX XML Cite \textit{F. Luca} and \textit{P. Stănică}, J. Comb. Number Theory 4, No. 2, 115--123 (2012; Zbl 1339.11038)
Liu, Yanyan An equation involving the L.C.M. product of the arithmetical function. (Chinese. English summary) Zbl 1274.11010 J. Inn. Mong. Norm. Univ., Nat. Sci. 41, No. 6, 601-603 (2012). MSC: 11A25 PDF BibTeX XML Cite \textit{Y. Liu}, J. Inn. Mong. Norm. Univ., Nat. Sci. 41, No. 6, 601--603 (2012; Zbl 1274.11010)
Derbal, Abdallah Maximal order of a function linked to the divisors of an integer. (Ordre maximum d’une fonction liée aux diviseurs d’un nombre entier.) (French. English summary) Zbl 1283.11140 Integers 12, Paper A44, 15 p. (2012). MSC: 11N56 11N37 PDF BibTeX XML Cite \textit{A. Derbal}, Integers 12, Paper A44, 15 p. (2012; Zbl 1283.11140) Full Text: EMIS
Barát, A.; Indlekofer, K.-H.; Kaya, E. Two-series theorem in additive arithmetical semigroups. (English) Zbl 1274.11140 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 38, 309-318 (2012). MSC: 11N37 11N60 PDF BibTeX XML Cite \textit{A. Barát} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 38, 309--318 (2012; Zbl 1274.11140)
Sándor, József On certain bounds and limits for prime numbers. (English) Zbl 1286.11013 Notes Number Theory Discrete Math. 18, No. 1, 1-5 (2012). Reviewer: Mehdi Hassani (Zanjan) MSC: 11A41 11N37 11A25 PDF BibTeX XML Cite \textit{J. Sándor}, Notes Number Theory Discrete Math. 18, No. 1, 1--5 (2012; Zbl 1286.11013) Full Text: Link
Baker, Alan A comprehensive course in number theory. (English) Zbl 1254.11001 Cambridge: Cambridge University Press (ISBN 978-1-107-60379-0/pbk; 978-1-107-01901-0/hbk; 978-1-139-55837-2/ebook). xv, 251 p. (2012). Reviewer: Werner Kleinert (Berlin) MSC: 11-01 11Axx 11Nxx 11Pxx 11Rxx 11G05 11T71 11Dxx 11H55 11Jxx 11M06 11R04 11E16 PDF BibTeX XML Cite \textit{A. Baker}, A comprehensive course in number theory. Cambridge: Cambridge University Press (2012; Zbl 1254.11001)
Chen, Chao-Ping; Srivastava, H. M. New representations for the Lugo and Euler-Mascheroni constants. II. (English) Zbl 1243.33002 Appl. Math. Lett. 25, No. 3, 333-338 (2012). MSC: 33B15 11Y60 PDF BibTeX XML Cite \textit{C.-P. Chen} and \textit{H. M. Srivastava}, Appl. Math. Lett. 25, No. 3, 333--338 (2012; Zbl 1243.33002) Full Text: DOI
Pillichshammer, Friedrich A generalisation of a result of de la Vallée Poussin. (English) Zbl 1273.11147 Elem. Math. 67, No. 1, 26-38 (2012). Reviewer: Jürgen Spilker (Freiburg i. Br.) MSC: 11N56 11N37 PDF BibTeX XML Cite \textit{F. Pillichshammer}, Elem. Math. 67, No. 1, 26--38 (2012; Zbl 1273.11147) Full Text: DOI