Kátai, Imre Some old and new problems on arithmetical functions. (English) Zbl 1538.11001 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 55, 133-150 (2023). MSC: 11-02 00A27 11A25 11N05 11N25 11N64 11D61 11E45 11K16 11A07 PDFBibTeX XMLCite \textit{I. Kátai}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 55, 133--150 (2023; Zbl 1538.11001) Full Text: Link
De Koninck, Jean-Marie; Kátai, Imre Spacings between selected prime divisors of an integer. (English) Zbl 1532.11129 Bull. Aust. Math. Soc. 107, No. 3, 403-415 (2023). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N37 11A05 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Bull. Aust. Math. Soc. 107, No. 3, 403--415 (2023; Zbl 1532.11129) Full Text: DOI
Kátai, Imre; Khanh, Bui Minh Mai; Phong, Biu Minh On the equation \(F(n^3) = F(n^3-1) + D\) and some conjectures. (English) Zbl 1538.11169 Publ. Math. Debr. 103, No. 1-2, 257-267 (2023). Reviewer: Pieter Moree (Bonn) MSC: 11N64 11K65 11A25 PDFBibTeX XMLCite \textit{I. Kátai} et al., Publ. Math. Debr. 103, No. 1--2, 257--267 (2023; Zbl 1538.11169) Full Text: DOI
Kátai, Imre; Phong, Bui M. Completely multiplicative functions with special properties. (English) Zbl 1538.11170 Math. Pannonica (N.S.) 29, No. 1, 68-76 (2023). Reviewer: Pieter Moree (Bonn) MSC: 11N64 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{B. M. Phong}, Math. Pannonica (N.S.) 29, No. 1, 68--76 (2023; Zbl 1538.11170) Full Text: DOI OA License
Kátai, Imre; Khanh, Bui Minh Mai; Phong, Bui Minh On the equation \(G(n) = F(n^2-1) + D\). (English) Zbl 1513.11012 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 53, 159-173 (2022). MSC: 11A25 11N64 PDFBibTeX XMLCite \textit{I. Kátai} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 53, 159--173 (2022; Zbl 1513.11012)
De Koninck, Jean-Marie; Kátai, Imre; Phong, Bui Minh Expanding on results of Wirsing and Klurman. (English) Zbl 1513.11011 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 53, 137-143 (2022). MSC: 11A25 11N64 PDFBibTeX XMLCite \textit{J.-M. De Koninck} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 53, 137--143 (2022; Zbl 1513.11011)
Kátai, Imre; Phong, Bui Minh In memoriam for Professor Eduard Wirsing. (English) Zbl 1513.11003 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 53, 123-125 (2022). MSC: 11A07 11A25 11N25 11N64 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{B. M. Phong}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 53, 123--125 (2022; Zbl 1513.11003) Full Text: Link
de Koninck, Jean-Marie; Kátai, Imre Consecutive neighbour spacings between the prime divisors of an integer. (English) Zbl 1511.11081 Colloq. Math. 170, No. 2, 289-305 (2022). Reviewer: Gennady Bachman (Las Vegas) MSC: 11N37 11A05 PDFBibTeX XMLCite \textit{J.-M. de Koninck} and \textit{I. Kátai}, Colloq. Math. 170, No. 2, 289--305 (2022; Zbl 1511.11081) Full Text: DOI
De Koninck, Jean-Marie; Kátai, Imre On the consecutive prime divisors of an integer. (English) Zbl 1489.11147 Funct. Approximatio, Comment. Math. 66, No. 1, 7-33 (2022). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N37 11A05 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Funct. Approximatio, Comment. Math. 66, No. 1, 7--33 (2022; Zbl 1489.11147) Full Text: DOI
Kátai, Imre; Phong, Bui Minh Arithmetical functions commutable with sums of squares. II. (English) Zbl 1499.11253 Math. Pannonica (N.S.) 27, No. 2, 179-190 (2021). Reviewer: Florian Luca (Johannesburg) MSC: 11K65 11N37 11N64 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{B. M. Phong}, Math. Pannonica (N.S.) 27, No. 2, 179--190 (2021; Zbl 1499.11253) Full Text: DOI OA License
Kátai, Imre; Phong, Bui Minh On a conjecture regarding multiplicative functions. (English) Zbl 1488.11120 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 52, 187-194 (2021). MSC: 11K65 11N37 11N64 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{B. M. Phong}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 52, 187--194 (2021; Zbl 1488.11120) Full Text: Link
Kátai, Imre; Phong, Bui Minh A characterization of functions using Lagrange’s four-square theorem. (English) Zbl 1488.11119 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 52, 177-185 (2021). MSC: 11K65 11N37 11N64 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{B. M. Phong}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 52, 177--185 (2021; Zbl 1488.11119) Full Text: Link
De Koninck, Jean-Marie; Kátai, Imre On key applications of the Turán-Kubilius inequality. (English) Zbl 1482.11129 Lith. Math. J. 61, No. 3, 312-322 (2021). Reviewer: Florian Luca (Johannesburg) MSC: 11N37 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Lith. Math. J. 61, No. 3, 312--322 (2021; Zbl 1482.11129) Full Text: DOI
De Koninck, Jean-Marie; Kátai, Imre; Phong, Bui Minh Almost-additive and almost-multiplicative functions with regularity properties. (English) Zbl 1488.11149 Publ. Math. Debr. 99, No. 1-2, 151-160 (2021). MSC: 11N37 11N64 PDFBibTeX XMLCite \textit{J.-M. De Koninck} et al., Publ. Math. Debr. 99, No. 1--2, 151--160 (2021; Zbl 1488.11149) Full Text: DOI
De Koninck, Jean-Marie; Kátai, Imre; Phong, Bui Minh On the variations of completely multiplicative functions at consecutive arguments. (English) Zbl 1488.11153 Publ. Math. Debr. 98, No. 1-2, 219-230 (2021). Reviewer: Lajos Hajdu (Debrecen) MSC: 11N64 11K65 PDFBibTeX XMLCite \textit{J.-M. De Koninck} et al., Publ. Math. Debr. 98, No. 1--2, 219--230 (2021; Zbl 1488.11153) Full Text: DOI
De Koninck, Jean-Marie; Kátai, Imre Exponential sums running over particular sets of positive integers. (English) Zbl 1474.11143 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 51, 51-57 (2020). MSC: 11L07 11N37 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 51, 51--57 (2020; Zbl 1474.11143) Full Text: Link
Indlekofer, Karl-Heinz; Kátai, Imre; Phong, Biu Minh On some uniformly distributed functions on the set of shifted primes. (English) Zbl 1474.11158 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 50, 173-181 (2020). MSC: 11N36 11N37 11N64 PDFBibTeX XMLCite \textit{K.-H. Indlekofer} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 50, 173--181 (2020; Zbl 1474.11158) Full Text: Link
Indlekofer, Karl-Heinz; Kátai, Imre; Klesov, Oleg I.; Phong, Biu Minh A remark on uniformly distributed functions. (English) Zbl 1474.11157 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 50, 167-172 (2020). MSC: 11N36 11N37 11N64 PDFBibTeX XMLCite \textit{K.-H. Indlekofer} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 50, 167--172 (2020; Zbl 1474.11157) Full Text: Link
De Koninck, Jean-Marie; Kátai, Imre; Phong, Bui Minh Characterising some triplets of completely multiplicative functions. (English) Zbl 1474.11007 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 50, 101-112 (2020). MSC: 11A25 11N25 11N64 PDFBibTeX XMLCite \textit{J.-M. De Koninck} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 50, 101--112 (2020; Zbl 1474.11007) Full Text: Link
De Koninck, Jean-Marie; Kátai, Imre Further generalisations of a classical theorem of Daboussi. (English) Zbl 1466.11052 Colloq. Math. 162, No. 1, 109-119 (2020). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11L07 11N37 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Colloq. Math. 162, No. 1, 109--119 (2020; Zbl 1466.11052) Full Text: DOI
Kátai, Imre; Phong, Bui Minh On additive arithmetical functions with values in topological groups. IV. (English) Zbl 1449.11099 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 49, 279-284 (2019). Reviewer: Moshe Roitman (Haifa) MSC: 11N64 11A25 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{B. M. Phong}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 49, 279--284 (2019; Zbl 1449.11099) Full Text: Link
De Koninck, Jean-Marie; Kátai, Imre; Phong, Bui Minh On some consequences of recently proved conjectures. (English) Zbl 1449.11098 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 49, 123-128 (2019). Reviewer: Štefan Porubský (Praha) MSC: 11N37 11N64 PDFBibTeX XMLCite \textit{J.-M. De Koninck} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 49, 123--128 (2019; Zbl 1449.11098) Full Text: Link
Kátai, Imre; Phong, Bui Minh On the pairs of completely multiplicative functions satisfying some relation. (English) Zbl 1438.11110 Acta Sci. Math. 85, No. 1-2, 139-145 (2019). Reviewer: Eira J. Scourfield (Egham) MSC: 11K65 11N37 11N64 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{B. M. Phong}, Acta Sci. Math. 85, No. 1--2, 139--145 (2019; Zbl 1438.11110) Full Text: DOI
De Koninck, Jean-Marie; Kátai, Imre Distribution of arithmetic functions on particular subsets of integers. (English) Zbl 1443.11197 Lith. Math. J. 59, No. 1, 24-38 (2019). MSC: 11N37 11N60 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Lith. Math. J. 59, No. 1, 24--38 (2019; Zbl 1443.11197) Full Text: DOI
De Koninck, Jean-Marie; Kátai, Imre On the values of the Euler function around shifted primes. (English. French summary) Zbl 1436.11118 Ann. Math. Qué. 43, No. 1, 37-50 (2019). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N60 11N25 26A15 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Ann. Math. Qué. 43, No. 1, 37--50 (2019; Zbl 1436.11118) Full Text: DOI
Kátai, Imre; Phong, Bui Minh On additive arithmetical functions with values in topological groups. III. (English) Zbl 1424.11144 Publ. Math. Debr. 94, No. 1-2, 49-54 (2019). Reviewer: Lajos Hajdu (Debrecen) MSC: 11N64 11A25 11N25 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{B. M. Phong}, Publ. Math. Debr. 94, No. 1--2, 49--54 (2019; Zbl 1424.11144) Full Text: DOI
De Koninck, Jean Marie; Katai, Imre On the divisors of shifted primes. (English) Zbl 1455.11014 Turk. J. Math. 43, No. 2, 998-1004 (2019). MSC: 11A25 11N37 11K38 PDFBibTeX XMLCite \textit{J. M. De Koninck} and \textit{I. Katai}, Turk. J. Math. 43, No. 2, 998--1004 (2019; Zbl 1455.11014) Full Text: DOI
de Koninck, Jean-Marie; Kátai, Imre On the number of prime factors of the \(k\)-fold iterate of the Euler function at consecutive arguments. (English) Zbl 1439.11252 Dubickas, A. (ed.) et al., Analytic and probabilistic methods in number theory. Proceedings of the sixth international conference, Palanga, Lithuania, September 11–17, 2016. Vilnius: Vilnius University Publishing House. 29-44 (2017). MSC: 11N37 11K65 PDFBibTeX XMLCite \textit{J.-M. de Koninck} and \textit{I. Kátai}, in: Analytic and probabilistic methods in number theory. Proceedings of the sixth international conference, Palanga, Lithuania, September 11--17, 2016. Vilnius: Vilnius University Publishing House. 29--44 (2017; Zbl 1439.11252)
De Koninck, Jean-Marie; Kátai, Imre On the distribution of the difference of some arithmetic functions. (English) Zbl 1425.11164 Bull. Hell. Math. Soc. 61, 1-10 (2017). MSC: 11N60 11K65 11N37 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Bull. Hell. Math. Soc. 61, 1--10 (2017; Zbl 1425.11164) Full Text: Link
Kátai, Imre; Phong, Bui Minh On the equation \(f(n^2) = g^2(n)\) for \(q\)-additive functions \(f\) and \(g\). (English) Zbl 1399.11139 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 46, 115-122 (2017). MSC: 11K65 11N37 11N64 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{B. M. Phong}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 46, 115--122 (2017; Zbl 1399.11139)
Kátai, Imre; Phong, Bui Minh Multiplicative functions with small increments. (English) Zbl 1399.11138 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 46, 105-114 (2017). MSC: 11K65 11N37 11N64 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{B. M. Phong}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 46, 105--114 (2017; Zbl 1399.11138)
De Koninck, Jean-Marie; Kátai, Imre On the distribution of the number of prime factors of the \(k\)-fold iterate of various arithmetic functions. (English) Zbl 1399.11163 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 46, 27-38 (2017). MSC: 11N60 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 46, 27--38 (2017; Zbl 1399.11163)
Kátai, Imre; Phong, Bui Minh Some relations among multiplicative and \(q\)-additive functions. (English) Zbl 1365.11095 Lith. Math. J. 57, No. 1, 30-37 (2017). MSC: 11K65 11N37 11N64 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{B. M. Phong}, Lith. Math. J. 57, No. 1, 30--37 (2017; Zbl 1365.11095) Full Text: DOI
De Koninck, Jean-Marie; Kátai, Imre On the \(k\)-fold iterate of the sum of divisors function. (English) Zbl 1422.11197 Colloq. Math. 147, No. 2, 247-255 (2017). MSC: 11N37 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Colloq. Math. 147, No. 2, 247--255 (2017; Zbl 1422.11197) Full Text: DOI
Indlekofer, Karl-Heinz; Kátai, Imre; Phong, Bui Minh Multiplicative functions with small increment. II. (English) Zbl 1389.11004 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 45, 269-276 (2016). MSC: 11A25 11N25 11N64 PDFBibTeX XMLCite \textit{K.-H. Indlekofer} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 45, 269--276 (2016; Zbl 1389.11004)
Kátai, Imre; Phong, Bui Minh Multiplicative functions with small increment. I. (English) Zbl 1389.11005 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 45, 261-267 (2016). MSC: 11A25 11N25 11N64 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{B. M. Phong}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 45, 261--267 (2016; Zbl 1389.11005)
De Koninck, Jean-Marie; Kátai, Imre Iterates of the sum of the unitary divisors of an integer. (English) Zbl 1389.11124 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 45, 101-110 (2016). MSC: 11N37 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 45, 101--110 (2016; Zbl 1389.11124)
De Koninck, Jean-Marie; Kátai, Imre On the \(k\)-fold iterates of the Euler totient function at shifted primes. (English) Zbl 1389.11123 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 45, 89-99 (2016). MSC: 11N37 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 45, 89--99 (2016; Zbl 1389.11123)
De Koninck, Jean-Marie; Kátai, Imre On convoluted sums. (English) Zbl 1389.11122 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 45, 75-87 (2016). MSC: 11N37 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 45, 75--87 (2016; Zbl 1389.11122)
Kátai, I.; Phong, B. M. On a functional equation on the set of Gaussian integers. (English) Zbl 1399.11137 Acta Sci. Math. 82, No. 3-4, 443-450 (2016). MSC: 11K65 11N37 11N64 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{B. M. Phong}, Acta Sci. Math. 82, No. 3--4, 443--450 (2016; Zbl 1399.11137) Full Text: DOI
De Koninck, Jean-Marie; Kátai, Imre The index of composition of the iterates of the Euler function. (English) Zbl 1363.11091 Acta Math. Acad. Paedagog. Nyházi. (N.S.) 32, No. 2, 303-311 (2016). MSC: 11N37 11N64 11K65 11N36 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Acta Math. Acad. Paedagog. Nyházi. (N.S.) 32, No. 2, 303--311 (2016; Zbl 1363.11091)
Chakraborty, Kalyan; Kátai, Imre; Phong, Bui Minh Additive functions on the greedy and lazy Fibonacci expansions. (English) Zbl 1415.11011 J. Integer Seq. 19, No. 4, Article 16.4.5, 12 p. (2016). MSC: 11A25 11A67 PDFBibTeX XMLCite \textit{K. Chakraborty} et al., J. Integer Seq. 19, No. 4, Article 16.4.5, 12 p. (2016; Zbl 1415.11011) Full Text: EMIS
De Koninck, Jean-Marie; Kátai, Imre Shifted values of the largest prime factor function and its average value in short intervals. (English) Zbl 1408.11092 Colloq. Math. 143, No. 1, 39-62 (2016). MSC: 11N37 11N60 11K06 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Colloq. Math. 143, No. 1, 39--62 (2016; Zbl 1408.11092) Full Text: DOI Link
Kátai, Imre; Phong, Bui Minh Some unsolved problems on arithmetical functions. (English) Zbl 1451.11011 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 44, 233-235 (2015). MSC: 11A07 11A25 11N25 00A27 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{B. M. Phong}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 44, 233--235 (2015; Zbl 1451.11011)
De Koninck, Jean-Marie; Kátai, Imre On the uniform distribution of certain sequences involving the Euler totient function and the sum of divisors function. (English) Zbl 1389.11109 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 44, 79-91 (2015). MSC: 11K16 11K38 11L07 11N60 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 44, 79--91 (2015; Zbl 1389.11109)
Kátai, Imre; Phong, Bui Minh Some relations among arithmetical functions. (English) Zbl 1389.11001 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 44, 49-57 (2015). MSC: 11A07 11A25 11K65 11N37 11N64 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{B. M. Phong}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 44, 49--57 (2015; Zbl 1389.11001)
Kátai, I.; Phong, B. M. On the multiplicative group generated by \(\left\{\frac{[\sqrt{2} n]}{n}\mid n \in \mathbb{N}\right\}\). II. (English) Zbl 1374.11076 Acta Sci. Math. 81, No. 3-4, 431-436 (2015). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11K65 11N37 11N64 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{B. M. Phong}, Acta Sci. Math. 81, No. 3--4, 431--436 (2015; Zbl 1374.11076) Full Text: DOI
Kátai, I.; Phong, B. M. On the multiplicative group generated by \(\left\{\frac{[\sqrt{2}n]}{n}\mid n \in \mathbb{N} \right\}\). III. (English) Zbl 1374.11075 Acta Math. Hung. 147, No. 1, 247-254 (2015). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11K65 11N37 11N64 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{B. M. Phong}, Acta Math. Hung. 147, No. 1, 247--254 (2015; Zbl 1374.11075) Full Text: DOI
De Koninck, Jean-Marie; Kátai, Imre The number of large prime factors of integers and normal numbers. (English) Zbl 1377.11083 Algèbre et théorie des nombres 2015. Besançon: Presses Universitaires de Franche-Comté. Publications Mathématiques de Besançon. Algèbre et Théorie des Nombres 2015, 5-12 (2015). MSC: 11K16 11N25 11N37 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Publ. Math. Besançon, Algèbre Théor. Nombres 2015, 5--12 (2015; Zbl 1377.11083)
De Koninck, Jean-Marie; Kátai, Imre On a property of non Liouville numbers. (English) Zbl 1349.11103 Acta Cybern. 22, No. 2, 335-347 (2015). MSC: 11J71 11K06 11A63 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Acta Cybern. 22, No. 2, 335--347 (2015; Zbl 1349.11103) Full Text: DOI
Kátai, Imre; Phong, Bui Minh A consequence of the ternary Goldbach theorem. (English) Zbl 1349.11005 Publ. Math. Debr. 86, No. 3-4, 465-471 (2015). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11A25 11A67 11K65 30D05 11P32 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{B. M. Phong}, Publ. Math. Debr. 86, No. 3--4, 465--471 (2015; Zbl 1349.11005) Full Text: DOI
Kátai, Imre; Phong, Bui Minh On the maximal exponent of the prime power divisor of integers. (English) Zbl 1395.11015 Acta Univ. Sapientiae, Math. 7, No. 1, 27-34 (2015). MSC: 11A25 11N25 11N64 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{B. M. Phong}, Acta Univ. Sapientiae, Math. 7, No. 1, 27--34 (2015; Zbl 1395.11015) Full Text: DOI OA License
De Koninck, Jean-Marie; Germán, László; Kátai, Imre On the convolution of the Liouville function under the existence of Siegel zeros. (English) Zbl 1391.11132 Lith. Math. J. 55, No. 3, 331-342 (2015). MSC: 11N37 PDFBibTeX XMLCite \textit{J.-M. De Koninck} et al., Lith. Math. J. 55, No. 3, 331--342 (2015; Zbl 1391.11132) Full Text: DOI
Kátai, I.; Phong, B. M. On the multiplicative group generated by \(\left\{\frac{[\sqrt{2}n]}{n} \mid n\in\mathbb{N}\right\}\). (English) Zbl 1349.11120 Acta Math. Hung. 145, No. 1, 80-87 (2015). Reviewer: Gennady Bachman (Las Vegas) MSC: 11K65 11N37 11N64 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{B. M. Phong}, Acta Math. Hung. 145, No. 1, 80--87 (2015; Zbl 1349.11120) Full Text: DOI
Kátai, I.; Phong, B. M. On the multiplicative group generated by \(\left\{\frac{[\sqrt 2n]}{n}\mid n\in\mathbb N \right\}\). IV. (English) Zbl 1424.11139 Math. Pannonica 25, No. 1, 105-112 (2014-2015). MSC: 11N37 11K65 11N64 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{B. M. Phong}, Math. Pannonica 25, No. 1, 105--112 (2014; Zbl 1424.11139)
De Koninck, Jean-Marie; Kátai, Imre The number of prime factors function on shifted primes and normal numbers. (English) Zbl 1352.11090 Rassias, Themistocles M. (ed.) et al., Topics in mathematical analysis and applications. Cham: Springer (ISBN 978-3-319-06553-3/hbk; 978-3-319-06554-0/ebook). Springer Optimization and Its Applications 94, 315-326 (2014). MSC: 11N37 11K16 11A41 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Springer Optim. Appl. 94, 315--326 (2014; Zbl 1352.11090) Full Text: DOI
De Koninck, Jean-Marie; Kátai, Imre Exponential sums involving arithmetic functions and shifted primes. (English) Zbl 1370.11099 J. Comb. Number Theory 6, No. 2, 77-84 (2014). MSC: 11L03 11A41 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, J. Comb. Number Theory 6, No. 2, 77--84 (2014; Zbl 1370.11099)
De Koninck, Jean-Marie; Kátai, Imre Normal numbers generated using the smallest prime factor function. (English) Zbl 1308.11072 Ann. Math. Qué. 38, No. 2, 133-144 (2014). Reviewer: Takao Komatsu (Wuhan) MSC: 11K16 11N37 11A41 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Ann. Math. Qué. 38, No. 2, 133--144 (2014; Zbl 1308.11072) Full Text: DOI
Kátai, Imre; Phong, Bui Minh The functional equation \(f(\mathcal A + \mathcal B) = g(\mathcal A) + h(\mathcal B)\). (English) Zbl 1313.11015 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 43, 287-301 (2014). MSC: 11A25 11N64 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{B. M. Phong}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 43, 287--301 (2014; Zbl 1313.11015) Full Text: Link
Kátai, Imre Happy birthday Feri, happy birthday Péter. (English) Zbl 1313.42085 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 43, 279-286 (2014). MSC: 42C10 PDFBibTeX XMLCite \textit{I. Kátai}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 43, 279--286 (2014; Zbl 1313.42085)
Hao, Nguyen Cong; Kátai, Imre; Phong, Bui Minh Research problems in number theory. (English) Zbl 1313.11006 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 43, 267-277 (2014). MSC: 11A07 11A25 11N25 11N64 PDFBibTeX XMLCite \textit{N. C. Hao} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 43, 267--277 (2014; Zbl 1313.11006) Full Text: Link
Kátai, Imre; Phong, Bui Minh; Thanh, Le Manh Some results and problems in probabilistic number theory. (English) Zbl 1313.11104 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 43, 253-265 (2014). MSC: 11K65 11A25 11N64 PDFBibTeX XMLCite \textit{I. Kátai} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 43, 253--265 (2014; Zbl 1313.11104)
Giao, Hoang Thi Lan; Kátai, Imre; Phong, Bui Minh On the iterates of some multiplicative functions. (English) Zbl 1313.11012 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 43, 245-252 (2014). MSC: 11A25 11A07 PDFBibTeX XMLCite \textit{H. T. L. Giao} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 43, 245--252 (2014; Zbl 1313.11012)
Kátai, Imre; Phong, Bui Minh Uniform distribution of some arithmetical functions. (English) Zbl 1313.11103 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 42, 209-218 (2014). MSC: 11K65 11N37 11N64 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{B. M. Phong}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 42, 209--218 (2014; Zbl 1313.11103)
De Koninck, Jean-Marie; Kátai, Imre Constructing normal numbers using residues of selective prime factors of integers. (English) Zbl 1313.11086 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 42, 127-133 (2014). MSC: 11K16 11N37 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 42, 127--133 (2014; Zbl 1313.11086)
Kátai, Imre On the Turán-Kubilius inequality. (English) Zbl 1333.11082 Pintz, János (ed.) et al., Number theory, analysis, and combinatorics. Proceedings of the Paul Turán memorial conference, Budapest, Hungary, August 22–26, 2011. Berlin: De Gruyter (ISBN 978-3-11-028242-9/ebook; 978-3-11-028237-5/hbk). De Gruyter Proceedings in Mathematics, 177-185 (2014). Reviewer: Adam J. Harper (Cambridge) MSC: 11L03 11N60 11K65 11A63 PDFBibTeX XMLCite \textit{I. Kátai}, in: Number theory, analysis, and combinatorics. Proceedings of the Paul Turán memorial conference, Budapest, Hungary, August 22--26, 2011. Berlin: De Gruyter. 177--185 (2014; Zbl 1333.11082)
De Koninck, Jean-Marie; Kátai, Imre Normal numbers and the middle prime factor of an integer. (English) Zbl 1304.11071 Colloq. Math. 135, No. 1, 69-77 (2014). Reviewer: Wolfgang Steiner (Sydney) MSC: 11K16 11N37 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Colloq. Math. 135, No. 1, 69--77 (2014; Zbl 1304.11071) Full Text: DOI
De Koninck, Jean-Marie; Kátai, Imre The uniform distribution \(\mod 1\) of sequences involving the largest prime factor function. (English) Zbl 1303.11087 Šiauliai Math. Semin. 8(16), 117-129 (2013). Reviewer: Peter Bundschuh (Köln) MSC: 11K16 11N37 11K06 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Šiauliai Math. Semin. 8(16), 117--129 (2013; Zbl 1303.11087)
De Koninck, Jean-Marie; Katai, Imre Exponential sums involving the \(k\)-th largest prime factor function. (English) Zbl 1287.11100 J. Integer Seq. 16, No. 2, Article 13.2.16, 13 p. (2013). Reviewer: Thomas Stoll (Vandœuvre-lés Nancy) MSC: 11L07 11N37 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Katai}, J. Integer Seq. 16, No. 2, Article 13.2.16, 13 p. (2013; Zbl 1287.11100) Full Text: EMIS
De Koninck, Jean-Marie; Kátai, Imre Prime-like sequences leading to the construction of normal numbers. (English) Zbl 1283.11110 Funct. Approximatio, Comment. Math. 49, No. 2, 291-302 (2013). MSC: 11K16 11N05 11B50 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Funct. Approximatio, Comment. Math. 49, No. 2, 291--302 (2013; Zbl 1283.11110) Full Text: DOI Euclid
De Koninck, Jean-Marie; Kátai, Imre Construction of normal numbers by classified prime divisors of integers. II. (English) Zbl 1283.11109 Funct. Approximatio, Comment. Math. 49, No. 1, 7-27 (2013). Reviewer: Manfred G. Madritsch (Vandœuvre) MSC: 11K16 11N37 11A41 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Funct. Approximatio, Comment. Math. 49, No. 1, 7--27 (2013; Zbl 1283.11109) Full Text: DOI Euclid
De Koninck, Jean-Marie; Kátai, Imre Construction of normal numbers using the distribution of the \(k\)th largest prime factor. (English) Zbl 1282.11089 Bull. Aust. Math. Soc. 88, No. 1, 158-168 (2013). MSC: 11K16 11N37 11A41 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Bull. Aust. Math. Soc. 88, No. 1, 158--168 (2013; Zbl 1282.11089) Full Text: DOI
Kátai, Imre Some remarks on a result of Timofeev and Khripunova. (English) Zbl 1274.11145 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 39, 239-256 (2013). MSC: 11N37 PDFBibTeX XMLCite \textit{I. Kátai}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 39, 239--256 (2013; Zbl 1274.11145)
De Koninck, Jean-Marie; Kátai, Imre Using large prime divisors to construct normal numbers. (English) Zbl 1274.11117 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 39, 45-62 (2013). MSC: 11K16 11N37 11A41 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 39, 45--62 (2013; Zbl 1274.11117)
De Koninck, Jean-Marie; Katai, Imre On the distribution of the values of additive functions over integers with a fixed number of distinct prime divisors. (English) Zbl 1307.11088 Albanian J. Math. 6, No. 2, 75-86 (2012). MSC: 11K65 11N60 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Katai}, Albanian J. Math. 6, No. 2, 75--86 (2012; Zbl 1307.11088)
De Koninck, Jean-Marie; Kátai, Imre Normal numbers created from primes and polynomials. (English) Zbl 1324.11049 Unif. Distrib. Theory 7, No. 2, 1-20 (2012). MSC: 11K16 11N37 11A41 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Unif. Distrib. Theory 7, No. 2, 1--20 (2012; Zbl 1324.11049)
Broughan, Kevin A.; De Koninck, Jean-Marie; Kátai, Imre; Luca, Florian On integers for which the sum of divisors is the square of the squarefree core. (English) Zbl 1291.11006 J. Integer Seq. 15, No. 7, Article 12.7.5, 12 p. (2012). MSC: 11A25 11A41 PDFBibTeX XMLCite \textit{K. A. Broughan} et al., J. Integer Seq. 15, No. 7, Article 12.7.5, 12 p. (2012; Zbl 1291.11006) Full Text: EMIS
De Koninck, Jean-Marie; Kátai, Imre Exponential sums and arithmetic functions at polynomial values. (English) Zbl 1282.11100 Lith. Math. J. 52, No. 2, 138-144 (2012). MSC: 11L07 11N37 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Lith. Math. J. 52, No. 2, 138--144 (2012; Zbl 1282.11100) Full Text: DOI
Indlekofer, K.-H.; Kátai, I.; Klesov, O. I. On random arithmetical functions. II. (English) Zbl 1274.11143 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 38, 295-308 (2012). MSC: 11N37 11N36 11N80 60F15 PDFBibTeX XMLCite \textit{K. H. Indlekofer} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 38, 295--308 (2012; Zbl 1274.11143)
Chakraborty, K.; Kátai, I.; Phong, Bui Minh On the values of arithmetic functions in short intervals. (English) Zbl 1274.11151 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 38, 269-277 (2012). MSC: 11N64 PDFBibTeX XMLCite \textit{K. Chakraborty} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 38, 269--277 (2012; Zbl 1274.11151)
Chakraborty, K.; Kátai, I.; Phong, Bui Minh On additive functions satisfying some relations. (English) Zbl 1274.11006 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 38, 257-268 (2012). MSC: 11A25 PDFBibTeX XMLCite \textit{K. Chakraborty} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 38, 257--268 (2012; Zbl 1274.11006)
Kátai, I. On the prime divisors of the Euler phi and the sum of divisors functions. (English) Zbl 1274.11138 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 38, 245-256 (2012). MSC: 11N25 11N36 11N37 PDFBibTeX XMLCite \textit{I. Kátai}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 38, 245--256 (2012; Zbl 1274.11138)
Germán, L.; Kátai, I. Distribution of the values of \(q\)-additive functions on some multiplicative semigroups II. (English) Zbl 1274.11128 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 38, 147-159 (2012). MSC: 11L07 11A63 PDFBibTeX XMLCite \textit{L. Germán} and \textit{I. Kátai}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 38, 147--159 (2012; Zbl 1274.11128)
Germán, L.; Kátai, I. Distribution of the values of \(q\)-additive functions on some multiplicative semigroups. (English) Zbl 1274.11127 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 38, 129-145 (2012). MSC: 11L07 11A63 PDFBibTeX XMLCite \textit{L. Germán} and \textit{I. Kátai}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 38, 129--145 (2012; Zbl 1274.11127)
De Koninck, J.-M.; Kátai, I. The distribution of additive functions in short intervals on the set of Shifted integers having a fixed number of prime factors. (English) Zbl 1274.11008 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 38, 57-70 (2012). MSC: 11A25 11N56 PDFBibTeX XMLCite \textit{J. M. De Koninck} and \textit{I. Kátai}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 38, 57--70 (2012; Zbl 1274.11008)
Indlekofer, K.-H.; Kátai, I. Some remarks on Beurling type integers generated by the set of shifted primes. (English) Zbl 1274.11152 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 38, 43-56 (2012). MSC: 11N80 11N56 PDFBibTeX XMLCite \textit{K. H. Indlekofer} and \textit{I. Kátai}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 38, 43--56 (2012; Zbl 1274.11152)
Chakraborty, Kalyan; Kátai, Imre; Phong, Bui Minh On real valued additive functions modulo 1. (English) Zbl 1249.11007 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 36, 355-373 (2012). MSC: 11A25 PDFBibTeX XMLCite \textit{K. Chakraborty} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 36, 355--373 (2012; Zbl 1249.11007)
Kátai, Imre On the distribution of \(q\)-additive functions under some conditions. III. (English) Zbl 1272.11097 Acta Univ. Sapientiae, Math. 3, No. 2, 115-128 (2011). Reviewer: Jürgen Spilker (Freiburg i. Br.) MSC: 11K65 11N60 PDFBibTeX XMLCite \textit{I. Kátai}, Acta Univ. Sapientiae, Math. 3, No. 2, 115--128 (2011; Zbl 1272.11097) Full Text: EMIS
Kátai, Imre A proof of the generalized second-limit theorem in the theory of probability. (English) Zbl 1315.11085 Commun. Stat., Theory Methods 40, No. 19-20, 3654-3662 (2011). MSC: 11N60 11N37 PDFBibTeX XMLCite \textit{I. Kátai}, Commun. Stat., Theory Methods 40, No. 19--20, 3654--3662 (2011; Zbl 1315.11085) Full Text: DOI
Bassily, Nader L.; Kátai, Imre Erratum to: On the pairs of multiplicative functions satisfying some relations. (English) Zbl 1287.11116 Aequationes Math. 82, No. 3, 319-320 (2011). Reviewer: Olaf Ninnemann (Berlin) MSC: 11N64 11K65 11A25 PDFBibTeX XMLCite \textit{N. L. Bassily} and \textit{I. Kátai}, Aequationes Math. 82, No. 3, 319--320 (2011; Zbl 1287.11116) Full Text: DOI
Kátai, I. Some remarks on the Carmichael and on the Euler’s \(\varphi\) function. (English) Zbl 1240.11123 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 35, 163-187 (2011). MSC: 11N56 11N64 PDFBibTeX XMLCite \textit{I. Kátai}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 35, 163--187 (2011; Zbl 1240.11123)
Bassily, N. L.; Kátai, I. On the theorem of H. Daboussi over the Gaussian integers. (English) Zbl 1323.11005 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 35, 25-33 (2011). MSC: 11A63 11R04 PDFBibTeX XMLCite \textit{N. L. Bassily} and \textit{I. Kátai}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 35, 25--33 (2011; Zbl 1323.11005)
Indlekofer, K.-H.; Kátai, I.; Klesov, O. Renewal theorems for some weighted renewal functions. (English) Zbl 1240.60236 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 34, 179-194 (2011). MSC: 60K05 60G50 PDFBibTeX XMLCite \textit{K. H. Indlekofer} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 34, 179--194 (2011; Zbl 1240.60236)
De Koninck, J.-M.; Doyon, N.; Kátai, I. Arithmetic functions evaluated at polynomial values. (English) Zbl 1240.11104 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 34, 95-114 (2011). MSC: 11N25 11N32 PDFBibTeX XMLCite \textit{J. M. De Koninck} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 34, 95--114 (2011; Zbl 1240.11104)
Bassily, N. L.; Kátai, I. Some further remarks on a paper of K. Ramachandra. (English) Zbl 1240.11103 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 34, 33-44 (2011). MSC: 11N25 11N69 PDFBibTeX XMLCite \textit{N. L. Bassily} and \textit{I. Kátai}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 34, 33--44 (2011; Zbl 1240.11103) Backlinks: MO
De Koninck, Jean-Marie; Kátai, Imre On the asymptotic value of the irrational factor. (English. French summary) Zbl 1273.11143 Ann. Sci. Math. Qué. 35, No. 1, 117-121 (2011). MSC: 11N37 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Ann. Sci. Math. Qué. 35, No. 1, 117--121 (2011; Zbl 1273.11143)
Kátai, Imre On an analogue of Daboussi’s theorem on some semigroups of integers generated by some subsets of the primes. (English. French summary) Zbl 1273.11145 Ann. Sci. Math. Qué. 35, No. 1, 75-83 (2011). Reviewer: Jürgen Spilker (Freiburg i. Br.) MSC: 11N60 11N37 11N64 PDFBibTeX XMLCite \textit{I. Kátai}, Ann. Sci. Math. Qué. 35, No. 1, 75--83 (2011; Zbl 1273.11145)
De Koninck, Jean-Marie; Kátai, Imre Construction of normal numbers by classified prime divisors of integers. (English) Zbl 1264.11068 Funct. Approximatio, Comment. Math. 45, No. 2, 231-253 (2011). Reviewer: Manfred G. Madritsch (Vandœuvre) MSC: 11K16 11N37 11A41 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Funct. Approximatio, Comment. Math. 45, No. 2, 231--253 (2011; Zbl 1264.11068) Full Text: DOI Euclid
De Koninck, Jean-Marie; Kátai, Imre Arithmetic functions and their coprimality. (English) Zbl 1261.11062 Funct. Approximatio, Comment. Math. 45, No. 1, 55-66 (2011). Reviewer: Eira J. Scourfield (Egham) MSC: 11N37 11A25 11A05 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Funct. Approximatio, Comment. Math. 45, No. 1, 55--66 (2011; Zbl 1261.11062) Full Text: DOI Euclid
De Koninck, Jean-Marie; Kátai, Imre On a problem on normal numbers raised by Igor Shparlinski. (English) Zbl 1231.11086 Bull. Aust. Math. Soc. 84, No. 2, 337-349 (2011). Reviewer: Manfred G. Madritsch (Graz) MSC: 11K16 11A41 11N37 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Bull. Aust. Math. Soc. 84, No. 2, 337--349 (2011; Zbl 1231.11086) Full Text: DOI