Lebowitz-Lockard, Noah On ordered factorizations into distinct parts. II. (English) Zbl 07773866 Publ. Math. Debr. 103, No. 3-4, 489-497 (2023). Reviewer: Takao Komatsu (Hangzhou) MSC: 11A51 11A25 PDFBibTeX XMLCite \textit{N. Lebowitz-Lockard}, Publ. Math. Debr. 103, No. 3--4, 489--497 (2023; Zbl 07773866) Full Text: DOI
Zhang, Qingjie; Niu, Chuanze On the powerful numbers in \(\prod_{x=g}^f(x^k\pm h^k)\). (English) Zbl 07773857 Publ. Math. Debr. 103, No. 3-4, 273-291 (2023). MSC: 11A25 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{C. Niu}, Publ. Math. Debr. 103, No. 3--4, 273--291 (2023; Zbl 07773857) 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 07722749 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 07722749) Full Text: DOI
Weber, Michel J. G. On infinite Möbius inversion. (English) Zbl 07722734 Publ. Math. Debr. 103, No. 1-2, 1-12 (2023). Reviewer: Panayiotis Vlamos (Kérkyra) MSC: 11A25 11C99 PDFBibTeX XMLCite \textit{M. J. G. Weber}, Publ. Math. Debr. 103, No. 1--2, 1--12 (2023; Zbl 07722734) Full Text: DOI
Chen, Bin; Wu, Jie; Zhao, Feng Note on a paper by Bordellés, Dai, Heyman, Pan and Shparlinski, 3. (English) Zbl 07692688 Publ. Math. Debr. 102, No. 3-4, 495-505 (2023). MSC: 11A25 11N36 11N37 PDFBibTeX XMLCite \textit{B. Chen} et al., Publ. Math. Debr. 102, No. 3--4, 495--505 (2023; Zbl 07692688) Full Text: DOI
Chen, Long; Feng, Yulu; Hong, Shaofang; Qiu, Min On the divisibility of matrices associated with multiplicative functions. (English) Zbl 1499.11159 Publ. Math. Debr. 100, No. 3-4, 323-335 (2022). Reviewer: Pentti Haukkanen (Tampere) MSC: 11C20 11A25 15B36 PDFBibTeX XMLCite \textit{L. Chen} et al., Publ. Math. Debr. 100, No. 3--4, 323--335 (2022; Zbl 1499.11159) Full Text: DOI
Hassani, Mehdi; Nasiri-Zare, Mohammad Density modulo 1 of some sequences associated to the functions \(\varphi\) and \(\sigma\). (English) Zbl 1499.11245 Publ. Math. Debr. 100, No. 1-2, 205-217 (2022). Reviewer: Oto Strauch (Bratislava) MSC: 11K06 11N36 11N37 PDFBibTeX XMLCite \textit{M. Hassani} and \textit{M. Nasiri-Zare}, Publ. Math. Debr. 100, No. 1--2, 205--217 (2022; Zbl 1499.11245) 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
Chen, Man; Qi, Tianfang A Menon-Sury-type identity for arithmetic functions on \(\mathbb{F}_q[T]\). (English) Zbl 1474.11199 Publ. Math. Debr. 98, No. 1-2, 1-14 (2021). Reviewer: David Joyner (Annapolis) MSC: 11T55 11A07 11A25 PDFBibTeX XMLCite \textit{M. Chen} and \textit{T. Qi}, Publ. Math. Debr. 98, No. 1--2, 1--14 (2021; Zbl 1474.11199) Full Text: DOI
Zhang, Bin The flatness of a class of ternary cyclotomic polynomials. (English) Zbl 1474.11074 Publ. Math. Debr. 97, No. 1-2, 201-216 (2020). MSC: 11B83 11C08 11N56 PDFBibTeX XMLCite \textit{B. Zhang}, Publ. Math. Debr. 97, No. 1--2, 201--216 (2020; Zbl 1474.11074) Full Text: DOI
Haukkanen, Pentti; Tóth, László Menon-type identities again: a note on a paper by Li, Kim and Qiao. (English) Zbl 1463.11003 Publ. Math. Debr. 96, No. 3-4, 487-502 (2020). Reviewer: Moshe Roitman (Haifa) MSC: 11A07 11A25 PDFBibTeX XMLCite \textit{P. Haukkanen} and \textit{L. Tóth}, Publ. Math. Debr. 96, No. 3--4, 487--502 (2020; Zbl 1463.11003) Full Text: DOI arXiv
Laishram, Shanta; Ngairangbam, Sudhir Singh; Singh, Maibam Ranjit Yet another generalization of Sylvester’s theorem and its application. (English) Zbl 1449.11093 Publ. Math. Debr. 95, No. 1-2, 1-17 (2019). MSC: 11N13 11B25 11B37 15A15 11D61 PDFBibTeX XMLCite \textit{S. Laishram} et al., Publ. Math. Debr. 95, No. 1--2, 1--17 (2019; Zbl 1449.11093) Full Text: DOI
Li, Yan; Kim, Daeyeoul; Qiao, Rui A generalization of Menon’s identity to higher exponent. (English) Zbl 1438.11003 Publ. Math. Debr. 94, No. 3-4, 467-475 (2019). MSC: 11A07 11A25 PDFBibTeX XMLCite \textit{Y. Li} et al., Publ. Math. Debr. 94, No. 3--4, 467--475 (2019; Zbl 1438.11003) Full Text: DOI
Dey, Pallab Kanti; Laishram, Shanta Powerful numbers in the product of consecutive integer values of a polynomial. (English) Zbl 1438.11007 Publ. Math. Debr. 94, No. 3-4, 319-336 (2019). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 11C08 PDFBibTeX XMLCite \textit{P. K. Dey} and \textit{S. Laishram}, Publ. Math. Debr. 94, No. 3--4, 319--336 (2019; Zbl 1438.11007) 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
Hong, Siao; Lin, Zongbing New results on the value of a certain arithmetical determinant. (English) Zbl 1438.11074 Publ. Math. Debr. 93, No. 1-2, 171-187 (2018). MSC: 11C20 11A05 11A25 15B36 PDFBibTeX XMLCite \textit{S. Hong} and \textit{Z. Lin}, Publ. Math. Debr. 93, No. 1--2, 171--187 (2018; Zbl 1438.11074) Full Text: DOI
Yamada, Tomohiro On the simultaneous equations \(\sigma(2^a)=p^{f_1}q^{g_1}, \sigma(3^b)=p^{f_2}q^{g_2}, \sigma(5^c)=p^{f_3}q^{g_3}\). (English) Zbl 1413.11010 Publ. Math. Debr. 93, No. 1-2, 57-71 (2018). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 11D61 PDFBibTeX XMLCite \textit{T. Yamada}, Publ. Math. Debr. 93, No. 1--2, 57--71 (2018; Zbl 1413.11010) Full Text: DOI arXiv
Park, Poo-Sung On multiplicative functions which are additive on almost primes. (English) Zbl 1399.11167 Publ. Math. Debr. 92, No. 3-4, 373-379 (2018). Reviewer: Olivier Ramaré (Marseille) MSC: 11P32 11A25 PDFBibTeX XMLCite \textit{P.-S. Park}, Publ. Math. Debr. 92, No. 3--4, 373--379 (2018; Zbl 1399.11167) Full Text: DOI
Tengely, Szabolcs Composite rational functions and arithmetic progressions. (English) Zbl 1399.11176 Publ. Math. Debr. 92, No. 1-2, 115-132 (2018). Reviewer: Thomas Schmidt (Corvallis) MSC: 11R58 14H05 12Y05 PDFBibTeX XMLCite \textit{S. Tengely}, Publ. Math. Debr. 92, No. 1--2, 115--132 (2018; Zbl 1399.11176) Full Text: DOI arXiv
Luca, Florian; Pomerance, Carl Corrigendum: “On the average number of divisors of the Euler function”. (English) Zbl 1389.11127 Publ. Math. Debr. 89, No. 1-2, 257-260 (2016). MSC: 11N37 PDFBibTeX XMLCite \textit{F. Luca} and \textit{C. Pomerance}, Publ. Math. Debr. 89, No. 1--2, 257--260 (2016; Zbl 1389.11127) Full Text: DOI
Weingartner, Andreas Integers with large practical component. (English) Zbl 1374.11080 Publ. Math. Debr. 87, No. 3-4, 439-447 (2015). Reviewer: Štefan Porubský (Praha) MSC: 11N25 11N37 PDFBibTeX XMLCite \textit{A. Weingartner}, Publ. Math. Debr. 87, No. 3--4, 439--447 (2015; Zbl 1374.11080) Full Text: DOI arXiv
Calderón, Catalina; Grau, José María; Oller-Marcén, Antonio M.; Tóth, László Counting invertible sums of squares modulo \(n\) and a new generalization of Euler’s totient function. (English) Zbl 1363.11004 Publ. Math. Debr. 87, No. 1-2, 133-145 (2015). Reviewer: Florian Luca (Morelia) MSC: 11A25 11N37 11D45 PDFBibTeX XMLCite \textit{C. Calderón} et al., Publ. Math. Debr. 87, No. 1--2, 133--145 (2015; Zbl 1363.11004) Full Text: DOI arXiv
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
Daróczy, Zoltán On functional equations involving means. (English) Zbl 1299.39016 Publ. Math. Debr. 84, No. 1-2, 221-228 (2014). MSC: 39B22 26E60 PDFBibTeX XMLCite \textit{Z. Daróczy}, Publ. Math. Debr. 84, No. 1--2, 221--228 (2014; Zbl 1299.39016) Full Text: DOI
Li, Yan; Ma, Lianrong; Zhang, Junhua Odd solutions of \(\sigma(n)-2n=2\) have at least six distinct prime factors. (English) Zbl 1286.11006 Publ. Math. Debr. 82, No. 2, 255-266 (2013). Reviewer: Guram Gogishvili (Tbilisi) MSC: 11A25 PDFBibTeX XMLCite \textit{Y. Li} et al., Publ. Math. Debr. 82, No. 2, 255--266 (2013; Zbl 1286.11006) Full Text: DOI
Pollack, Paul; Thompson, Lola Practical pretenders. (English) Zbl 1274.11139 Publ. Math. Debr. 82, No. 3-4, 651-667 (2013). MSC: 11N25 11N37 PDFBibTeX XMLCite \textit{P. Pollack} and \textit{L. Thompson}, Publ. Math. Debr. 82, No. 3--4, 651--667 (2013; Zbl 1274.11139) Full Text: DOI arXiv
Matkowski, Janusz Invariance of Bajraktarevič mean with respect to quasi arithmetic means. (English) Zbl 1274.26086 Publ. Math. Debr. 80, No. 3-4, 441-455 (2012). Reviewer: Mihály Bessenyei (Debrecen) MSC: 26E60 26A18 39B22 PDFBibTeX XMLCite \textit{J. Matkowski}, Publ. Math. Debr. 80, No. 3--4, 441--455 (2012; Zbl 1274.26086) Full Text: DOI
Coons, Michael A note on two conjectures associated to Goldbach’s problem. (English) Zbl 1258.11005 Publ. Math. Debr. 80, No. 3-4, 343-345 (2012). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 11P32 PDFBibTeX XMLCite \textit{M. Coons}, Publ. Math. Debr. 80, No. 3--4, 343--345 (2012; Zbl 1258.11005) Full Text: DOI
Rivat, Joël; Sárközy, András A Turán-Kubilius type inequality on shifted products. (English) Zbl 1249.11087 Publ. Math. Debr. 79, No. 3-4, 637-662 (2011). MSC: 11K65 11N64 PDFBibTeX XMLCite \textit{J. Rivat} and \textit{A. Sárközy}, Publ. Math. Debr. 79, No. 3--4, 637--662 (2011; Zbl 1249.11087) Full Text: DOI
Narkiewicz, Władysław A note on Euler’s \(\varphi\)-function. (English) Zbl 1249.11096 Publ. Math. Debr. 79, No. 3-4, 553-562 (2011). MSC: 11N37 PDFBibTeX XMLCite \textit{W. Narkiewicz}, Publ. Math. Debr. 79, No. 3--4, 553--562 (2011; Zbl 1249.11096) Full Text: DOI
Bege, Antal Generalized LCM matrices. (English) Zbl 1249.11045 Publ. Math. Debr. 79, No. 3-4, 309-315 (2011). MSC: 11C20 11A25 15B36 PDFBibTeX XMLCite \textit{A. Bege}, Publ. Math. Debr. 79, No. 3--4, 309--315 (2011; Zbl 1249.11045) Full Text: DOI arXiv
Chen, Y.-G.; Zhao, Q.-Q. Nonaliquot numbers. (English) Zbl 1240.11007 Publ. Math. Debr. 78, No. 2, 439-442 (2011). Reviewer: Eira J. Scourfield (Egham) MSC: 11A25 PDFBibTeX XMLCite \textit{Y. G. Chen} and \textit{Q. Q. Zhao}, Publ. Math. Debr. 78, No. 2, 439--442 (2011; Zbl 1240.11007) Full Text: DOI
Ruzsa, Imre Z.; Varjú, Péter P. Euclidean algorithm in different norms. (English) Zbl 1240.11001 Publ. Math. Debr. 78, No. 1, 245-249 (2011). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A05 11A25 PDFBibTeX XMLCite \textit{I. Z. Ruzsa} and \textit{P. P. Varjú}, Publ. Math. Debr. 78, No. 1, 245--249 (2011; Zbl 1240.11001) Full Text: DOI
Chen, Kangkang; Chen, Yonggao On \(f(p)+f(q)=f(p+q)\) for all odd primes \(p\) and \(q\). (English) Zbl 1263.11004 Publ. Math. Debr. 76, No. 4, 425-430 (2010). MSC: 11N64 11A25 PDFBibTeX XMLCite \textit{K. Chen} and \textit{Y. Chen}, Publ. Math. Debr. 76, No. 4, 425--430 (2010; Zbl 1263.11004) Full Text: Link
Kátai, Imre Open problems originated in our research work with Zoltán Daróczy. (English) Zbl 1279.11082 Publ. Math. Debr. 75, No. 1-2, 149-165 (2009). MSC: 11K65 11A63 11K55 PDFBibTeX XMLCite \textit{I. Kátai}, Publ. Math. Debr. 75, No. 1--2, 149--165 (2009; Zbl 1279.11082)
Jarczyk, Justyna Regularity theorem for a functional equation involving means. (English) Zbl 1212.26073 Publ. Math. Debr. 75, No. 1-2, 123-135 (2009). Reviewer: Pál Burai (Debrecen) MSC: 26E60 39B22 PDFBibTeX XMLCite \textit{J. Jarczyk}, Publ. Math. Debr. 75, No. 1--2, 123--135 (2009; Zbl 1212.26073)
Indlekofer, Karl-Heinz On a quantitative form of Wirsing’s mean-value theorem for multiplicative functions. (English) Zbl 1249.11008 Publ. Math. Debr. 75, No. 1-2, 105-121 (2009). Reviewer: Imre Z. Ruzsa (Budapest) MSC: 11A25 11K65 11N37 11N64 PDFBibTeX XMLCite \textit{K.-H. Indlekofer}, Publ. Math. Debr. 75, No. 1--2, 105--121 (2009; Zbl 1249.11008)
Dascăl, Judita On a functional equation with a symmetric component. (English) Zbl 1199.39052 Publ. Math. Debr. 75, No. 1-2, 33-39 (2009). MSC: 39B22 26E60 PDFBibTeX XMLCite \textit{J. Dascăl}, Publ. Math. Debr. 75, No. 1--2, 33--39 (2009; Zbl 1199.39052)
Makó, Zita; Páles, Zsolt On the equality of generalized quasi-arithmetic means. (English) Zbl 1174.39007 Publ. Math. Debr. 72, No. 3-4, 407-440 (2008). Reviewer: Gyula Maksa (Debrecen) MSC: 39B22 26E60 PDFBibTeX XMLCite \textit{Z. Makó} and \textit{Z. Páles}, Publ. Math. Debr. 72, No. 3--4, 407--440 (2008; Zbl 1174.39007)
Jarczyk, Justyna Invariance of weighted quasi-arithmetic means with continuous generators. (English) Zbl 1164.26025 Publ. Math. Debr. 71, No. 3-4, 279-294 (2007). Reviewer: Zsolt Páles (Debrecen) MSC: 26E60 39B22 PDFBibTeX XMLCite \textit{J. Jarczyk}, Publ. Math. Debr. 71, No. 3--4, 279--294 (2007; Zbl 1164.26025)
Tóth, László An order result for the exponential divisor function. (English) Zbl 1135.11302 Publ. Math. Debr. 71, No. 1-2, 165-171 (2007). MSC: 11A25 11N37 PDFBibTeX XMLCite \textit{L. Tóth}, Publ. Math. Debr. 71, No. 1--2, 165--171 (2007; Zbl 1135.11302) Full Text: arXiv
Shparlinski, Igor E.; Sutantyo, Daniel On the set of the largest prime divisors. (English) Zbl 1136.11058 Publ. Math. Debr. 71, No. 1-2, 95-100 (2007). Reviewer: Florian Luca (Morelia) MSC: 11N25 11N64 PDFBibTeX XMLCite \textit{I. E. Shparlinski} and \textit{D. Sutantyo}, Publ. Math. Debr. 71, No. 1--2, 95--100 (2007; Zbl 1136.11058)
Burai, Pál A Matkowski-Sutô type equation. (English) Zbl 1121.39020 Publ. Math. Debr. 70, No. 1-2, 233-247 (2007). Reviewer: Zsolt Páles (Debrecen) MSC: 39B12 39B22 PDFBibTeX XMLCite \textit{P. Burai}, Publ. Math. Debr. 70, No. 1--2, 233--247 (2007; Zbl 1121.39020)
Luca, Florian; Pomerance, Carl On the average number of divisors of the Euler function. (English) Zbl 1127.11065 Publ. Math. Debr. 70, No. 1-2, 125-148 (2007). Reviewer: Ekkehard Krätzel (Jena) MSC: 11N37 PDFBibTeX XMLCite \textit{F. Luca} and \textit{C. Pomerance}, Publ. Math. Debr. 70, No. 1--2, 125--148 (2007; Zbl 1127.11065)
Kovács, Katalin On the characterization of \(n\)-polyadditive functions. (English) Zbl 1121.11006 Publ. Math. Debr. 70, No. 1-2, 1-7 (2007). MSC: 11A25 PDFBibTeX XMLCite \textit{K. Kovács}, Publ. Math. Debr. 70, No. 1--2, 1--7 (2007; Zbl 1121.11006)
Phong, Bui Minh A characterization of the identity function with an equation of Hosszú type. (English) Zbl 1121.11007 Publ. Math. Debr. 69, No. 1-2, 219-226 (2006). MSC: 11A25 PDFBibTeX XMLCite \textit{B. M. Phong}, Publ. Math. Debr. 69, No. 1--2, 219--226 (2006; Zbl 1121.11007)
De Koninck, Jean-Marie; Luca, Florian Counting the number of economical numbers. (English) Zbl 1110.11004 Publ. Math. Debr. 68, No. 1-2, 97-113 (2006). Reviewer: Clemens Heuberger (Graz) MSC: 11A63 11A25 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{F. Luca}, Publ. Math. Debr. 68, No. 1--2, 97--113 (2006; Zbl 1110.11004)
Furuya, Jun On the average orders of the error term in the circle problem. (English) Zbl 1102.11052 Publ. Math. Debr. 67, No. 3-4, 381-400 (2005). Reviewer: Wolfgang Schwarz (Frankfurt am Main) MSC: 11N37 PDFBibTeX XMLCite \textit{J. Furuya}, Publ. Math. Debr. 67, No. 3--4, 381--400 (2005; Zbl 1102.11052)
Daróczy, Zoltán Quasi-arithmetic elements of a given class of means. (English) Zbl 1069.26025 Publ. Math. Debr. 65, No. 3-4, 317-322 (2004). Reviewer: Zsolt Páles (Debrecen) MSC: 26E60 26D15 39B22 PDFBibTeX XMLCite \textit{Z. Daróczy}, Publ. Math. Debr. 65, No. 3--4, 317--322 (2004; Zbl 1069.26025)
Kátai, I.; Subbarao, M. V. Distribution of additive and \(q\)-additive functions under some conditions. (English) Zbl 1047.11077 Publ. Math. Debr. 64, No. 1-2, 167-187 (2004). Reviewer: Imre Z. Ruzsa (Budapest) MSC: 11K65 11N60 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{M. V. Subbarao}, Publ. Math. Debr. 64, No. 1--2, 167--187 (2004; Zbl 1047.11077)
Zgraja, T. Continuity of functions which are convex with respect to means. (English) Zbl 1054.26009 Publ. Math. Debr. 63, No. 3, 401-411 (2003). Reviewer: Rita Pini (Milano) MSC: 26A51 26E60 PDFBibTeX XMLCite \textit{T. Zgraja}, Publ. Math. Debr. 63, No. 3, 401--411 (2003; Zbl 1054.26009)
Daróczy, Zoltán; Páles, Zsolt On functional equations involving means. (English) Zbl 1026.39009 Publ. Math. Debr. 62, No. 3-4, 363-377 (2003). Reviewer: Thomas Sonar (Braunschweig) MSC: 39B22 39B12 26A18 PDFBibTeX XMLCite \textit{Z. Daróczy} and \textit{Z. Páles}, Publ. Math. Debr. 62, No. 3--4, 363--377 (2003; Zbl 1026.39009)
Maksa, Gyula Jensen’s equation and bisymmetry. (English) Zbl 1017.39008 Publ. Math. Debr. 61, No. 3-4, 663-669 (2002). Reviewer: Henrik Stetkaer (Aarhus) MSC: 39B22 PDFBibTeX XMLCite \textit{G. Maksa}, Publ. Math. Debr. 61, No. 3--4, 663--669 (2002; Zbl 1017.39008)
Indlekofer, Karl-Heinz; Timofeev, Nikolai M. Divisors of shifted primes. (English) Zbl 1017.11042 Publ. Math. Debr. 60, No. 3-4, 307-345 (2002). MSC: 11K65 11N64 11N37 11N36 PDFBibTeX XMLCite \textit{K.-H. Indlekofer} and \textit{N. M. Timofeev}, Publ. Math. Debr. 60, No. 3--4, 307--345 (2002; Zbl 1017.11042)
De Koninck, Jean-Marie; Kátai, Imre On the frequency of \(k\)-deficient numbers. (English) Zbl 1012.11006 Publ. Math. Debr. 61, No. 3-4, 595-602 (2002). Reviewer: E.J.Scourfield (Egham) MSC: 11A25 11N37 11N60 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Publ. Math. Debr. 61, No. 3--4, 595--602 (2002; Zbl 1012.11006)
Ebanks, Bruce Solution of some functional equations involving symmetric means. (English) Zbl 1012.39018 Publ. Math. Debr. 61, No. 3-4, 579-588 (2002). Reviewer: Zsolt Páles (Debrecen) MSC: 39B22 PDFBibTeX XMLCite \textit{B. Ebanks}, Publ. Math. Debr. 61, No. 3--4, 579--588 (2002; Zbl 1012.39018)
Daróczy, Zoltán; Páles, Zsolt Gauss-composition of means and the solution of the Matkowski-Sutô problem. (English) Zbl 1006.39020 Publ. Math. Debr. 61, No. 1-2, 157-218 (2002). Reviewer: Gyula Maksa (Debrecen) MSC: 39B12 26A24 26A21 PDFBibTeX XMLCite \textit{Z. Daróczy} and \textit{Z. Páles}, Publ. Math. Debr. 61, No. 1--2, 157--218 (2002; Zbl 1006.39020)
Kátai, I.; Subbarao, M. V. Group valued \(q\)-additive functions on polynomial values. (English) Zbl 0999.11010 Publ. Math. Debr. 59, No. 1-2, 35-43 (2001). MSC: 11A63 11K65 11N99 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{M. V. Subbarao}, Publ. Math. Debr. 59, No. 1--2, 35--43 (2001; Zbl 0999.11010)
Grytczuk, A.; Luca, F.; Wójtowicz, M. A conjecture of Erdős concerning inequalities for the Euler totient function. (English) Zbl 0981.11004 Publ. Math. Debr. 59, No. 1-2, 9-16 (2001). Reviewer: Peter Reichensperger (Oberasbach) MSC: 11A25 PDFBibTeX XMLCite \textit{A. Grytczuk} et al., Publ. Math. Debr. 59, No. 1--2, 9--16 (2001; Zbl 0981.11004)
Bege, Antal A generalization of Apostol’s Möbius functions of order \(k\). (English) Zbl 0999.11003 Publ. Math. Debr. 58, No. 3, 293-301 (2001). Reviewer: S.Turjányi (Debrecen) MSC: 11A25 11N37 PDFBibTeX XMLCite \textit{A. Bege}, Publ. Math. Debr. 58, No. 3, 293--301 (2001; Zbl 0999.11003) Full Text: arXiv
Luca, Florian Multiply perfect numbers in Lucas sequences with odd parameters. (English) Zbl 0973.11009 Publ. Math. Debr. 58, No. 1-2, 121-155 (2001). Reviewer: Péter Kiss (Eger) MSC: 11A25 11B39 11D61 PDFBibTeX XMLCite \textit{F. Luca}, Publ. Math. Debr. 58, No. 1--2, 121--155 (2001; Zbl 0973.11009)
Kovács, Katalin On the characterization of additive functions on Gaussian integers. (English) Zbl 0999.11004 Publ. Math. Debr. 58, No. 1-2, 73-78 (2001). Reviewer: S.Turjányi (Debrecen) MSC: 11A25 11N64 PDFBibTeX XMLCite \textit{K. Kovács}, Publ. Math. Debr. 58, No. 1--2, 73--78 (2001; Zbl 0999.11004)
Bui Minh Phong A characterization of some unimodular multiplicative functions. (English) Zbl 0999.11061 Publ. Math. Debr. 57, No. 3-4, 339-366 (2000). Reviewer: S.Turjányi (Debrecen) MSC: 11N64 11A25 PDFBibTeX XMLCite \textit{Bui Minh Phong}, Publ. Math. Debr. 57, No. 3--4, 339--366 (2000; Zbl 0999.11061)
Panaitopol, Laurenţiu On a problem of Erdős-Turán. (English) Zbl 0963.11002 Publ. Math. Debr. 57, No. 1-2, 85-89 (2000). MSC: 11A25 11N05 PDFBibTeX XMLCite \textit{L. Panaitopol}, Publ. Math. Debr. 57, No. 1--2, 85--89 (2000; Zbl 0963.11002)
Indlekofer, K.-H.; Kátai, I. On a theorem of H. Daboussi. (English) Zbl 0963.11055 Publ. Math. Debr. 57, No. 1-2, 145-152 (2000). Reviewer: Mihály Szalay (Budapest) MSC: 11N37 11K65 11A63 PDFBibTeX XMLCite \textit{K. H. Indlekofer} and \textit{I. Kátai}, Publ. Math. Debr. 57, No. 1--2, 145--152 (2000; Zbl 0963.11055)
Ruzsa, Imre Z. Additive functions with monotonic norm. (English) Zbl 0961.11032 Publ. Math. Debr. 56, No. 3-4, 547-558 (2000). Reviewer: Andrew Granville (Athens) MSC: 11N64 11K65 11A25 PDFBibTeX XMLCite \textit{I. Z. Ruzsa}, Publ. Math. Debr. 56, No. 3--4, 547--558 (2000; Zbl 0961.11032)
Halter-Koch, Franz; Reich, Ludwig Characterization of field homomorphisms by functional equations. (English) Zbl 0991.39011 Publ. Math. Debr. 56, No. 1-2, 179-183 (2000). Reviewer: János Aczél (Waterloo) MSC: 39B52 12E30 PDFBibTeX XMLCite \textit{F. Halter-Koch} and \textit{L. Reich}, Publ. Math. Debr. 56, No. 1--2, 179--183 (2000; Zbl 0991.39011)
Kátai, I.; Subbarao, M. V. Quasi-additive and quasi-multiplicative functions with regularity properties. (English) Zbl 0999.11002 Publ. Math. Debr. 56, No. 1-2, 43-52 (2000). MSC: 11A25 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{M. V. Subbarao}, Publ. Math. Debr. 56, No. 1--2, 43--52 (2000; Zbl 0999.11002)
Kátai, I.; Subbarao, M. V. Local peaks of additive functions. (English) Zbl 0999.11044 Publ. Math. Debr. 56, No. 1-2, 171-177 (2000). Reviewer: Joachim Zöllner (Klein Winterheim) MSC: 11K65 11N60 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{M. V. Subbarao}, Publ. Math. Debr. 56, No. 1--2, 171--177 (2000; Zbl 0999.11044)
Pham Van Chung; Bui Minh Phong Additive uniqueness sets for multiplicative functions. (English) Zbl 0928.11004 Publ. Math. Debr. 55, No. 3-4, 237-243 (1999). MSC: 11A25 PDFBibTeX XMLCite \textit{Pham Van Chung} and \textit{Bui Minh Phong}, Publ. Math. Debr. 55, No. 3--4, 237--243 (1999; Zbl 0928.11004)
Bassily, N. L.; Kátai, I.; Wijsmuller, M. On the prime power divisors of the iterates of the Euler \(\varphi\)-function. (English) Zbl 0933.11047 Publ. Math. Debr. 55, No. 1-2, 17-32 (1999). Reviewer: Péter Kiss (Eger) MSC: 11N64 11K65 PDFBibTeX XMLCite \textit{N. L. Bassily} et al., Publ. Math. Debr. 55, No. 1--2, 17--32 (1999; Zbl 0933.11047)
Daróczy, Zoltán On a class of means of two variables. (English) Zbl 0932.39019 Publ. Math. Debr. 55, No. 1-2, 177-197 (1999). Reviewer: Johann Aczél (Waterloo) MSC: 39B22 26A51 39B62 PDFBibTeX XMLCite \textit{Z. Daróczy}, Publ. Math. Debr. 55, No. 1--2, 177--197 (1999; Zbl 0932.39019)
Stepanauskas, Gediminas The mean values of multiplicative functions. IV. (English) Zbl 0912.11036 Publ. Math. Debr. 52, No. 3-4, 659-681 (1998). Reviewer: Alessandro Zaccagnini (Parma) MSC: 11N56 11N60 11N64 11K65 PDFBibTeX XMLCite \textit{G. Stepanauskas}, Publ. Math. Debr. 52, No. 3--4, 659--681 (1998; Zbl 0912.11036)
Indlekofer, Karl-Heinz; Timofeev, Nikolai M. On some subsets of the set of shifted primes. (English) Zbl 0912.11037 Publ. Math. Debr. 52, No. 3-4, 429-468 (1998). Reviewer: Valérie Berthé (Marseille) MSC: 11N60 11K65 11N37 11N64 PDFBibTeX XMLCite \textit{K.-H. Indlekofer} and \textit{N. M. Timofeev}, Publ. Math. Debr. 52, No. 3--4, 429--468 (1998; Zbl 0912.11037)
Subbarao, M. V. A companion to a Lehmer problem. (English) Zbl 0906.11004 Publ. Math. Debr. 52, No. 3-4, 683-698 (1998). Reviewer: Ferenc Mátyás (Eger) MSC: 11A25 PDFBibTeX XMLCite \textit{M. V. Subbarao}, Publ. Math. Debr. 52, No. 3--4, 683--698 (1998; Zbl 0906.11004)
Fehér, János On generalized \(q\)-multiplicative functions. (English) Zbl 0907.11022 Publ. Math. Debr. 52, No. 3-4, 357-365 (1998). Reviewer: Ferenc Mátyás (Eger) MSC: 11K65 11N56 11A25 PDFBibTeX XMLCite \textit{J. Fehér}, Publ. Math. Debr. 52, No. 3--4, 357--365 (1998; Zbl 0907.11022)
Kovács, K. On a conjecture concerning additive arithmetical functions. II. (English) Zbl 0881.11006 Publ. Math. Debr. 50, No. 1-2, 177-179 (1997). Reviewer: M.Szalay (Budapest) MSC: 11A25 11N64 PDFBibTeX XMLCite \textit{K. Kovács}, Publ. Math. Debr. 50, No. 1--2, 177--179 (1997; Zbl 0881.11006)
Tóth, L. Asymptotic formulae concerning arithmetical functions defined by cross-convolutions. I: Divisor-sum functions and Euler-type functions. (English) Zbl 0881.11007 Publ. Math. Debr. 50, No. 1-2, 159-176 (1997). MSC: 11A25 11N37 PDFBibTeX XMLCite \textit{L. Tóth}, Publ. Math. Debr. 50, No. 1--2, 159--176 (1997; Zbl 0881.11007)
Sárvári, Cs. On integervalued generalized \(q\)-additive solutions of linear recursions. (English) Zbl 1274.11032 Publ. Math. Debr. 48, No. 3-4, 317-326 (1996). MSC: 11B37 11K65 PDFBibTeX XMLCite \textit{Cs. Sárvári}, Publ. Math. Debr. 48, No. 3--4, 317--326 (1996; Zbl 1274.11032)
Kovács, K. On a conjecture concerning additive number theoretical functions. (English) Zbl 0870.11002 Publ. Math. Debr. 49, No. 3-4, 367-370 (1996). Reviewer: S.Turjányi (Debrecen) MSC: 11A25 PDFBibTeX XMLCite \textit{K. Kovács}, Publ. Math. Debr. 49, No. 3--4, 367--370 (1996; Zbl 0870.11002)
Bukor, József; Tóth, János On some properties of values of a class of arithmetical functions. (English) Zbl 0858.11007 Publ. Math. Debr. 46, No. 1-2, 187-193 (1995). Reviewer: P.Haukkanen (Tampere) MSC: 11A25 PDFBibTeX XMLCite \textit{J. Bukor} and \textit{J. Tóth}, Publ. Math. Debr. 46, No. 1--2, 187--193 (1995; Zbl 0858.11007)
Daróczy, Z.; Kátai, I. Characterization of additive functions with values in the circle group. II. (English) Zbl 0829.11049 Publ. Math. Debr. 44, No. 3-4, 391-394 (1994). Reviewer: L.Tóth (Cluj) MSC: 11N64 22C05 PDFBibTeX XMLCite \textit{Z. Daróczy} and \textit{I. Kátai}, Publ. Math. Debr. 44, No. 3--4, 391--394 (1994; Zbl 0829.11049)
Mauclaire, Jean-Loup On the regularity of group-valued additive arithmetical functions. (English) Zbl 0819.11042 Publ. Math. Debr. 44, No. 3-4, 285-290 (1994). Reviewer: I.Z.Ruzsa (Budapest) MSC: 11N64 11K65 PDFBibTeX XMLCite \textit{J.-L. Mauclaire}, Publ. Math. Debr. 44, No. 3--4, 285--290 (1994; Zbl 0819.11042)
van Rossum-Wijsmuller, M. On the iteration of a multiplicative function defined on the Gaussian integers. (English) Zbl 0799.11004 Publ. Math. Debr. 43, No. 1-2, 103-110 (1993). Reviewer: P.Haukkanen (Tampere) MSC: 11A25 PDFBibTeX XMLCite \textit{M. van Rossum-Wijsmuller}, Publ. Math. Debr. 43, No. 1--2, 103--110 (1993; Zbl 0799.11004)
Bui Minh Phong A note on multiplicative functions with regularity properties. (English) Zbl 0767.11041 Publ. Math. Debr. 41, No. 1-2, 117-125 (1992). Reviewer: T.Maxsein (Frankfurt / Main) MSC: 11N37 11K65 PDFBibTeX XMLCite \textit{Bui Minh Phong}, Publ. Math. Debr. 41, No. 1--2, 117--125 (1992; Zbl 0767.11041)
Kovács, K. On the characterization of additive functions on rare sets. (English) Zbl 0751.11045 Publ. Math. Debr. 40, No. 1-2, 137-141 (1992). Reviewer: T.Maxsein (Frankfurt / Main) MSC: 11N56 PDFBibTeX XMLCite \textit{K. Kovács}, Publ. Math. Debr. 40, No. 1--2, 137--141 (1992; Zbl 0751.11045)
Haukkanen, Pentti Arithmetical expressions and asymptotic formulae for generalized totient functions. (English) Zbl 0751.11004 Publ. Math. Debr. 40, No. 1-2, 35-42 (1992). Reviewer: T.Maxsein (Frankfurt / Main) MSC: 11A25 11N37 PDFBibTeX XMLCite \textit{P. Haukkanen}, Publ. Math. Debr. 40, No. 1--2, 35--42 (1992; Zbl 0751.11004)
Bui Minh Phong Characterization of additive functions with values in a compact Abelian group. (English) Zbl 0767.11042 Publ. Math. Debr. 40, No. 3-4, 273-278 (1992). Reviewer: T.Maxsein (Frankfurt / Main) MSC: 11N64 11N37 PDFBibTeX XMLCite \textit{Bui Minh Phong}, Publ. Math. Debr. 40, No. 3--4, 273--278 (1992; Zbl 0767.11042)
Galambos, János; Indlekofer, Karl-Heinz Additive functions vanishing outside a given set of primes. I: Limiting distribution on short intervals. (English) Zbl 0760.11021 Publ. Math. Debr. 40, No. 3-4, 211-217 (1992). Reviewer: A.Hildebrand (Urbana) MSC: 11K65 11N37 PDFBibTeX XMLCite \textit{J. Galambos} and \textit{K.-H. Indlekofer}, Publ. Math. Debr. 40, No. 3--4, 211--217 (1992; Zbl 0760.11021)
Ruzsa, I. Z.; Tijdeman, R. On the difference of integer-valued additive functions. (English) Zbl 0765.11040 Publ. Math. Debr. 39, No. 3-4, 353-358 (1991). Reviewer: Wolfgang Schwarz (Frankfurt / Main) MSC: 11N64 PDFBibTeX XMLCite \textit{I. Z. Ruzsa} and \textit{R. Tijdeman}, Publ. Math. Debr. 39, No. 3--4, 353--358 (1991; Zbl 0765.11040)
Várterész, Magdolna Equation solving iterations based on tangential convex functions. (English) Zbl 0756.65076 Publ. Math. Debr. 39, No. 3-4, 253-261 (1991). Reviewer: H.Ratschek (Düsseldorf) MSC: 65H05 65G30 PDFBibTeX XMLCite \textit{M. Várterész}, Publ. Math. Debr. 39, No. 3--4, 253--261 (1991; Zbl 0756.65076)
McCarthy, P. J. Generating functions of some products of arithmetical functions. (English) Zbl 0722.11005 Publ. Math. Debr. 38, No. 1-2, 83-91 (1991). Reviewer: P.Haukkanen (Tampere) MSC: 11A25 11M41 PDFBibTeX XMLCite \textit{P. J. McCarthy}, Publ. Math. Debr. 38, No. 1--2, 83--91 (1991; Zbl 0722.11005)
Bui Minh Phong Multiplicative functions satisfying a congruence property. III. (English) Zbl 0749.11009 Publ. Math. Debr. 39, No. 1-2, 149-153 (1991). Reviewer: L.Tóth (Cluj) MSC: 11A25 11A07 11N56 PDFBibTeX XMLCite \textit{Bui Minh Phong}, Publ. Math. Debr. 39, No. 1--2, 149--153 (1991; Zbl 0749.11009)
Haruki, Hiroshi New characterizations of the arithmetic-geometric mean of Gauss and other well-known mean values. (English) Zbl 0746.39004 Publ. Math. Debr. 38, No. 3-4, 323-332 (1991). Reviewer: Zs.Páles (Debrecen) MSC: 39B12 39B22 PDFBibTeX XMLCite \textit{H. Haruki}, Publ. Math. Debr. 38, No. 3--4, 323--332 (1991; Zbl 0746.39004)
Van Rossum-Wijsmuller, Marijke Additive functions on the Gaussian integers. (English) Zbl 0738.11005 Publ. Math. Debr. 38, No. 3-4, 255-262 (1991). Reviewer: L.Tóth (Cluj) MSC: 11A25 PDFBibTeX XMLCite \textit{M. Van Rossum-Wijsmuller}, Publ. Math. Debr. 38, No. 3--4, 255--262 (1991; Zbl 0738.11005)
Amer, Mahmoud On arithmetical functions over Gaussian integers having constant values in some domain. (English) Zbl 0738.11001 Publ. Math. Debr. 38, No. 3-4, 185-188 (1991). Reviewer: László Tóth (Cluj) MSC: 11A25 PDFBibTeX XMLCite \textit{M. Amer}, Publ. Math. Debr. 38, No. 3--4, 185--188 (1991; Zbl 0738.11001)
Daróczy, Z.; Kátai, I. Characterization of pairs of additive functions with some regularity property. (English) Zbl 0766.11035 Publ. Math. Debr. 37, No. 3-4, 217-221 (1990). Reviewer: I.Z.Ruzsa (Budapest) MSC: 11K65 11N64 PDFBibTeX XMLCite \textit{Z. Daróczy} and \textit{I. Kátai}, Publ. Math. Debr. 37, No. 3--4, 217--221 (1990; Zbl 0766.11035)
Sándor, József On a method of Galambos and Kátai concerning the frequency of deficient numbers. (English) Zbl 0688.10003 Publ. Math. Debr. 39, No. 1-2, 155-158 (1991). Reviewer: J.Sándor MSC: 11A25 11N05 PDFBibTeX XMLCite \textit{J. Sándor}, Publ. Math. Debr. 39, No. 1--2, 155--158 (1990; Zbl 0688.10003)
Daróczy, Z.; Kátai, I. Characterization of additive functions with values in the circle group. (English) Zbl 0701.11041 Publ. Math. Debr. 36, No. 1-4, 1-7 (1989). Reviewer: L.Tóth MSC: 11N64 22C05 11A25 PDFBibTeX XMLCite \textit{Z. Daróczy} and \textit{I. Kátai}, Publ. Math. Debr. 36, No. 1--4, 1--7 (1989; Zbl 0701.11041)