Edit Profile (opens in new tab) Kátai, Imre Compute Distance To: Compute Author ID: katai.imre Published as: Kátai, I.; Kátai, Imre; Katai, I.; Katai, Imre; Kátai, I more...less External Links: MGP · Wikidata Documents Indexed: 417 Publications since 1964, including 2 Books 4 Contributions as Editor Co-Authors: 46 Co-Authors with 265 Joint Publications 1,379 Co-Co-Authors all top 5 Co-Authors 144 single-authored 82 De Koninck, Jean-Marie 35 Indlekofer, Karl-Heinz 34 Bui Minh Phong 25 Daróczy, Zoltán 25 Subbarao, Matukumalli Venkata 10 Bassily, Nader L. 9 Iványi, Antal Miklós 8 Galambos, Janos 6 Erdős, Pál 6 Germán, László 6 Járai, Antal jun. 5 Corrádi, K. A. 5 Fehér, János 5 Mercier, Armel 4 Chakraborty, Kalyan 4 Klesov, Oleg I. 4 Mogyorodi, Jozsef 4 Rahmy, E. 3 Doyon, Nicolas 3 Wijsmuller, M. 2 Corrádi, Keresztély 2 Környei, I. 2 Luca, Florian 2 Phong, Biu Minh 2 Racskó, Péter 1 Benczúr, András A. 1 Broughan, Kevin A. 1 Corrádi, C. A. 1 Dmitriev, Vladimir Ivanovich 1 Dringo, L. 1 Giao, Hoang Thi Lan 1 Gyapjas, F. 1 Hao, Nguyen Cong 1 Harman, Glyn 1 Ishak, Shahrul Nizam 1 Kallós, Gábor 1 Kántor, K. 1 Lee, Min-Young 1 Liardet, Pierre 1 Menzer, Hartmut 1 Samarskiĭ, Aleksandr Andreevich 1 Szabó, János 1 Tandori, Károly 1 Thanh, Le Manh 1 Van Rossum-Wijsmuller, Marijke 1 Wagner, Robert all top 5 Serials 72 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica 41 Publicationes Mathematicae 39 Acta Mathematica Hungarica 37 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 30 Acta Scientiarum Mathematicarum 17 Lithuanian Mathematical Journal 17 Mathematica Pannonica 16 Acta Mathematica Academiae Scientiarum Hungaricae 12 Acta Arithmetica 12 A Magyar Tudomanyos Akademia. Matematikai es Fizikai Tudomanyok Osztalyanak Közlemenyei 7 Colloquium Mathematicum 6 Matematikai Lapok 5 Archiv der Mathematik 5 Functiones et Approximatio. Commentarii Mathematici 5 Journal of Number Theory 5 Uniform Distribution Theory 4 Annales des Sciences Mathématiques du Québec 4 Aequationes Mathematicae 4 Litovskiĭ Matematicheskiĭ Sbornik 4 Journal of Integer Sequences 3 Analysis Mathematica 3 Periodica Mathematica Hungarica 3 Annales Mathématiques du Québec 2 Bulletin of the Australian Mathematical Society 2 Acta Cybernetica 2 Canadian Journal of Mathematics 2 Studia Scientiarum Mathematicarum Hungarica 2 Šiauliai Mathematical Seminar 2 Acta Universitatis Sapientiae. Mathematica 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Compositio Mathematica 1 The Fibonacci Quarterly 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Transactions of the American Mathematical Society 1 Statistics & Probability Letters 1 Mathematical and Computer Modelling 1 Alkalmazott Matematikai Lapok. A Magyar Tudomanyos Akademia. Matematikai es Fizikai Tudomanyok Osztalyanak Közlemenyei 1 Automation and Remote Control 1 Communications in Statistics. Theory and Methods 1 Turkish Journal of Mathematics 1 The Ramanujan Journal 1 Acta Academiae Paedagogicae Agriensis. Nova Series. Sectio Matematicae 1 Acta Mathematica Academiae Paedagogicae Nyíregyháziensis. New Series 1 Algebra and Discrete Mathematics 1 Mathematics and its Applications (Dordrecht) 1 Teubner-Texte zur Mathematik 1 Albanian Journal of Mathematics 1 Journal of Combinatorics and Number Theory 1 Acta Universitatis Sapientiae. Informatica 1 Advances and Applications in Mathematical Sciences 1 Journal of Numbers 1 Bulletin of the Hellenic Mathematical Society 1 Mathematica Pannonica. New Series all top 5 Fields 375 Number theory (11-XX) 13 Real functions (26-XX) 13 Probability theory and stochastic processes (60-XX) 9 Computer science (68-XX) 6 General and overarching topics; collections (00-XX) 6 Combinatorics (05-XX) 5 Numerical analysis (65-XX) 4 Topological groups, Lie groups (22-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Difference and functional equations (39-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 168 Publications have been cited 679 times in 419 Documents Cited by ▼ Year ▼ Canonical number systems in imaginary quadratic fields. Zbl 0477.10012Kátai, I.; Kovács, B. 41 1981 A remark on a theorem of H. Daboussi. Zbl 0607.10034Kátai, I. 40 1986 Distribution of the values of \(q\)-additive functions on polynomial sequences. Zbl 0832.11035Bassily, N. L.; Kátai, I. 32 1995 On the structure of univoque numbers. Zbl 0874.11013Daróczy, Zoltán; Kátai, Imre 32 1995 Canonical number-systems for complex integers. Zbl 0297.12003Kátai, I.; Szabó, János 28 1975 Kanonische Zahlensysteme in der Theorie der quadratischen algebraischen Zahlen. Zbl 0386.10007Katai, I.; Kovacs, B. 26 1980 Univoque sequences. Zbl 0809.11008Daróczy, Zoltán; Kátai, Imre 25 1993 On number systems in algebraic number fields. Zbl 0784.11049Kátai, I.; Környei, I. 18 1992 Primes with preassigned digits. II. Zbl 1234.11122Harman, Glyn; Kátai, Imre 16 2008 On distribution of arithmetical functions on the set prime plus one. Zbl 0167.04301Kátai, I. 15 1968 On the distribution of arithmetical functions. Zbl 0175.04103Kátai, Imre 15 1969 On a problem of P. Erdős. Zbl 0188.34201Kátai, I. 12 1970 Distribution of digits of primes in \(q\)-ary canonical form. Zbl 0603.10041Kátai, I. 10 1986 Generalized number systems and fractal geometry. Zbl 1029.11005Kátai, Imre 10 1995 Generalized number systems in the complex plane. Zbl 0653.10003Daróczy, Z.; Kátai, I. 10 1988 Investigations in the theory of \(q\)-additive and \(q\)-multiplicative functions. I. Zbl 0980.11001Indlekofer, K.-H.; Kátai, I. 9 2001 On the prime power divisors of the iterates of the Euler \(\varphi\)-function. Zbl 0933.11047Bassily, N. L.; Kátai, I.; Wijsmuller, M. 9 1999 Some remarks on generalized number systems. Zbl 0791.11037Indlekofer, K.-H.; Kátai, I.; Racsko, P. 7 1993 Number systems in imaginary quadratic fields. Zbl 0817.11046Kátai, I. 7 1994 A new characteristic of the identity function. Zbl 0871.11063De Koninck, Jean-Marie; Kátai, Imre; Phong, Bui Minh 7 1997 Multiplicative functions with regularity properties. I. Zbl 0532.10003Kátai, I. 6 1983 Intervallfüllende Folgen und volladditive Funktionen. (Interval filling sequences and completely additive functions). Zbl 0619.10007Daróczy, Z.; Járai, A.; Kátai, I. 6 1986 On the mean value of the index of composition of an integer. Zbl 1153.11331De Koninck, J. M.; Kátai, I. 6 2005 A remark on additive arithmetical functions. Zbl 0159.05802Kátai, I. 6 1967 On the distribution of digits. Zbl 0172.06201Kátai, Imre; Mogyoródi, József 6 1968 Interval filling sequences and additive functions. Zbl 0669.10018Daróczy, Zoltán; Kátai, Imre 6 1988 Generalized number systems in Euclidean spaces. Zbl 1083.11011Kátai, I. 6 2003 Number systems and fractal geometry. Zbl 0784.11048Indlekofer, K.-H.; Kátai, I.; Racskó, P. 5 1992 A renewal theorem for random walks in multidimensional time. Zbl 0622.60101Galambos, J.; Indlekofer, K.-H.; Kátai, I. 5 1987 On the counting function for the Niven numbers. Zbl 1023.11003De Koninck, Jean-Marie; Doyon, Nicolas; Kátai, Imre 5 2003 On the sum of digits of primes. Zbl 0365.10007Katai, I. 5 1977 The number of lattice points in a circle. Zbl 0151.04401Kátai, I. 4 1965 On sets characterizing number-theoretical functions. Zbl 0153.06702Katai, I. 4 1968 Multiplicative functions with regularity properties. II. Zbl 0532.10004Kátai, I. 4 1984 Distribution of \(q\)-additive function. Zbl 0774.11043Kátai, I. 4 1992 On completely additive functions related to interval-filling sequences. Zbl 0705.11001Daróczy, Z.; Kátai, I.; Szabó, T. 4 1990 Multiplicative functions with small increments. I. Zbl 0709.11050Indlekofer, K.-H.; Kátai, I. 4 1990 Investigations in the theory of \(q\)-additive and \(q\)-multiplicative functions. II. Zbl 1012.11008Indlekofer, K.-H.; Kátai, I. 4 2002 On the distribution of lattice points on circles. Zbl 0348.10036Katai, I.; Környei, I. 4 1977 On integers for which the sum of divisors is the square of the squarefree core. Zbl 1291.11006Broughan, Kevin A.; De Koninck, Jean-Marie; Kátai, Imre; Luca, Florian 4 2012 On the sum of digits of prime numbers. Zbl 0155.09004Katai, I. 4 1967 On oscillations of number-theoretic functions. Zbl 0159.06202Katai, I. 4 1967 Some remarks concerning the stable sequences of random variables. Zbl 0183.20304Kátai, Imre; Mogyoródi, József 4 1967 Interval filling sequences. Zbl 0645.10006Daróczy, Zoltán; Járai, Antal; Kátai, Imre 4 1985 Construction of number systems in algebraic number fields. Zbl 0963.11060Kátai, I. 4 1999 Multiplicative functions with regularity properties. III. Zbl 0542.10039Kátai, I. 3 1984 A note on random walks in multidimensional time. Zbl 0562.60094Galambos, Janos; Kátai, Imre 3 1986 On the number of prime factors of \(\varphi{} (\varphi{}(n))\). Zbl 0751.11041Kátai, I. 3 1991 Some problems in number theory. Zbl 0479.10003Kátai, I. 3 1981 On functions defined by digits of real numbers. Zbl 0614.10006Daróczy, Z.; Járai, A.; Kátai, I. 3 1986 Additive functions. Zbl 0616.10008Daróczy, Z.; Kátai, I. 3 1986 On the set for which 1 is univoque. Zbl 0980.11009Kátai, I.; Kallós, G. 3 2001 Number of prime divisors of \(\varphi_ k(n)\), where \(\varphi_ k\) is the \(k\)-fold iterative of \(\varphi\). Zbl 0878.11036Bassily, N. L.; Kátai, I.; Wijsmuller, M. 3 1997 A comparative result for multiplicative functions. Zbl 1042.11060Indlekofer, K.-H.; Wagner, R.; Kátai, I. 3 2001 On the distribution of subsets of primes in the prime factorization of integers. Zbl 0828.11046De Koninck, Jean-Marie; Kátai, Imre 3 1995 On a problem on normal numbers raised by Igor Shparlinski. Zbl 1231.11086De Koninck, Jean-Marie; Kátai, Imre 3 2011 Construction of normal numbers by classified prime divisors of integers. Zbl 1264.11068De Koninck, Jean-Marie; Kátai, Imre 3 2011 Change of the sum of digits by multiplication. Zbl 0336.10051Katai, I. 3 1977 Additive zahlentheoretische Funktionen und das Maß der Information. Zbl 0216.32101Daróczy, Z.; Kátai, I. 3 1971 Non complete sums of multiplicative functions. Zbl 0227.10005Erdős, Paul; Kátai, I. 3 1971 On sets characterizing number-theoretical functions. II: The set of “prime plus one” \(s\) is a set of quasi-uniqueness. Zbl 0188.34302Kátai, I. 3 1969 A comment on a paper of Ju. V. Linnik. Zbl 0145.04905Kátai, Imre 2 1967 A remark on “Comparative prime-number theory. I–VIII” by S. Knapowski und P. Turán. (Eine Bemerkung zur “Comparative prime-number theory. I–VIII” von S. Knapowski und P. Turán.) Zbl 0144.28401Kátai, Imre 2 1964 On the statistics of prime factors of natural numbers. (Zur Statistik der Primfaktoren der natürlichen Zahlen.) Zbl 0144.28402Gyapjas, F.; Kátai, Imre 2 1964 On the maximal and minimal exponent of the prime power divisors of integers. Zbl 1111.11042Kátai, I.; Subbarao, M. V. 2 2006 A remark on trigonometric sums. Zbl 1150.11029Kátai, I. 2 2006 Multiplicative functions with regularity properties. VI. Zbl 0746.11036Kátai, I. 2 1991 Arithmetical functions satisfying some relations. Zbl 0756.11025Kátai, Imre 2 1991 On the modulus of continuity of the distribution of some arithmetical functions. Zbl 0778.11044Indlekofer, K.-H.; Kátai, I. 2 1992 Some further remarks on the iterates of the \(\varphi\) and the \(\sigma\)-functions. Zbl 1127.11067Kátai, I.; Subbarao, M. V. 2 2006 Additive functions with respect to expansions over the set of Gaussian integers. Zbl 0989.11004Kátai, I.; Liardet, P. 2 2001 Multiplicative functions with small increments. II. Zbl 0722.11045Indlekofer, K.-H.; Kátai, I. 2 1990 On the sum of bounded multiplicative functions over some special subsets of integers. Zbl 1212.11077Kátai, Imre 2 2008 Metric properties of alternating Oppenheim expansions. Zbl 1023.11040Galambos, János; Kátai, Imre; Lee, Min-Young 2 2003 On \(q\)-additive and \(q\)-multiplicative functions. Zbl 1042.11005Kátai, I. 2 2002 On the growth of some additive functions on small intervals. Zbl 0417.10039Erdős, Paul; Katai, I. 2 1979 On the concentration of distribution of additive functions. Zbl 0431.10031Erdős, Paul; Katai, I. 2 1979 On some properties of attractors generated by iterated function systems. Zbl 0843.28004Indlekofer, K.-H.; Járai, A.; Kátai, I. 2 1995 Continuous homomorphisms as arithmetical functions, and sets of uniqueness. Zbl 0987.11002Kátai, I. 2 2000 Some remarks on trigonometric sums. Zbl 1164.11010Indlekofer, K.-H.; Kátai, I. 2 2008 Some remarks on a theorem of H. Daboussi. Zbl 1164.11011Kátai, Imre 2 2008 Some remarks on a paper of Ramachandra. Zbl 1060.11057Kátai, I.; Subbarao, M. V. 2 2003 The distribution of divisors mod 1. Zbl 0334.10021Katai, I. 2 1976 On an application of the large sieve: shifted prime numbers, which have no prime divisors from a given arithmetical progression. Zbl 0209.35301Kátai, I. 2 1970 On a property of non Liouville numbers. Zbl 1349.11103De Koninck, Jean-Marie; Kátai, Imre 2 2015 Normal numbers and the middle prime factor of an integer. Zbl 1304.11071De Koninck, Jean-Marie; Kátai, Imre 2 2014 Some new methods for constructing normal numbers. Zbl 1295.11081De Koninck, Jean-Marie; Kátai, Imre 2 2012 Über die vergleichende Primzahltheorie. Zbl 0154.30003Katai, I. 2 1967 Some problems on the iteration of multiplicative number-theoretical functions. Zbl 0162.34404Katai, I. 2 1968 A note on a paper of K. S. Gangadharan. Zbl 0163.04103Corrádi, Keresztély; Kátai, Imre 2 1967 Some results and problems in the theory of additive functions. Zbl 0186.35901Kátai, Imre 2 1969 On the growth of \(d_k(n)\). Zbl 0188.34102Erdős, Pál; Kátai, I. 2 1969 On the determination of an additive arithmetical function by its local behaviour. Zbl 0188.34301Kátai, I. 2 1969 On the multiplicative group generated by \(\left\{\frac{[\sqrt{2}n]}{n} \mid n\in\mathbb{N}\right\}\). Zbl 1349.11120Kátai, I.; Phong, B. M. 2 2015 On additive arithmetical functions with values in topological groups. I, II. Zbl 0647.10030Daróczy, Z.; Kátai, I. 2 1987 The continuity of the limiting distribution of a function of two additive functions. Zbl 0675.10034Galambos, János; Kátai, Imre 2 1990 Exponential sums with multiplicative coefficients. Zbl 0689.10058Indlekofer, K.-H.; Kátai, I. 2 1989 A note on a theorem of Daboussi. Zbl 1047.11079Indlekofer, K.-H.; Kátai, I. 2 2003 A remark on H. Delange’s paper “Sur un théorème de Rényi”. Zbl 0145.04904Kátai, Imre 1 1966 Additive functions with regularity properties. Zbl 0515.10046Katai, I. 1 1982 On the pairs of completely multiplicative functions satisfying some relation. Zbl 1438.11110Kátai, Imre; Phong, Bui Minh 1 2019 On strong normality. Zbl 1437.11109De Koninck, Jean-Marie; Kátai, Imre; Phong, Bui Minh 1 2016 On a property of non Liouville numbers. Zbl 1349.11103De Koninck, Jean-Marie; Kátai, Imre 2 2015 On the multiplicative group generated by \(\left\{\frac{[\sqrt{2}n]}{n} \mid n\in\mathbb{N}\right\}\). Zbl 1349.11120Kátai, I.; Phong, B. M. 2 2015 Some relations among arithmetical functions. Zbl 1389.11001Kátai, Imre; Phong, Bui Minh 1 2015 Normal numbers and the middle prime factor of an integer. Zbl 1304.11071De Koninck, Jean-Marie; Kátai, Imre 2 2014 Exponential sums involving arithmetic functions and shifted primes. Zbl 1370.11099De Koninck, Jean-Marie; Kátai, Imre 1 2014 Happy birthday Feri, happy birthday Péter. Zbl 1313.42085Kátai, Imre 1 2014 Construction of normal numbers using the distribution of the \(k\)th largest prime factor. Zbl 1282.11089De Koninck, Jean-Marie; Kátai, Imre 1 2013 Construction of normal numbers by classified prime divisors of integers. II. Zbl 1283.11109De Koninck, Jean-Marie; Kátai, Imre 1 2013 Using large prime divisors to construct normal numbers. Zbl 1274.11117De Koninck, Jean-Marie; Kátai, Imre 1 2013 On integers for which the sum of divisors is the square of the squarefree core. Zbl 1291.11006Broughan, Kevin A.; De Koninck, Jean-Marie; Kátai, Imre; Luca, Florian 4 2012 Some new methods for constructing normal numbers. Zbl 1295.11081De Koninck, Jean-Marie; Kátai, Imre 2 2012 Exponential sums and arithmetic functions at polynomial values. Zbl 1282.11100De Koninck, Jean-Marie; Kátai, Imre 1 2012 Normal numbers created from primes and polynomials. Zbl 1324.11049De Koninck, Jean-Marie; Kátai, Imre 1 2012 On a problem on normal numbers raised by Igor Shparlinski. Zbl 1231.11086De Koninck, Jean-Marie; Kátai, Imre 3 2011 Construction of normal numbers by classified prime divisors of integers. Zbl 1264.11068De Koninck, Jean-Marie; Kátai, Imre 3 2011 On an analogue of Daboussi’s theorem on some semigroups of integers generated by some subsets of the primes. Zbl 1273.11145Kátai, Imre 1 2011 On the asymptotic value of the irrational factor. Zbl 1273.11143De Koninck, Jean-Marie; Kátai, Imre 1 2011 Renewal theorems for some weighted renewal functions. Zbl 1240.60236Indlekofer, K.-H.; Kátai, I.; Klesov, O. 1 2011 On the theorem of H. Daboussi over the Gaussian integers. Zbl 1323.11005Bassily, N. L.; Kátai, I. 1 2011 On a theorem of Daboussi related to the set of Gaussian integers. II. Zbl 1240.11078De Koninck, Jean-Marie; Kátai, Imre 1 2010 On random arithmetical functions. I. Zbl 1220.11121Indlekofer, K.-H.; Kátai, I.; Klesov, O. I. 1 2010 On multiplicative functions on consecutive integers. Zbl 1248.11070Germán, L.; Kátai, I. 1 2010 On the coprimality of some arithmetic functions. Zbl 1299.11069De Koninck, Jean-Marie; Kátai, Imre 1 2010 On the prime power divisors of the iterates of \(\varphi(n)\) and \(\sigma(n)\). Zbl 1202.11044Kátai, Imre 1 2009 Primes with preassigned digits. II. Zbl 1234.11122Harman, Glyn; Kátai, Imre 16 2008 On the sum of bounded multiplicative functions over some special subsets of integers. Zbl 1212.11077Kátai, Imre 2 2008 Some remarks on trigonometric sums. Zbl 1164.11010Indlekofer, K.-H.; Kátai, I. 2 2008 Some remarks on a theorem of H. Daboussi. Zbl 1164.11011Kátai, Imre 2 2008 A remark on a paper of F. Luca and A. Sankaranarayanan. Zbl 1225.11120Kátai, I. 1 2008 Counting the number of twin Niven numbers. Zbl 1238.11089De Koninck, J. M.; Doyon, N.; Kátai, I. 1 2008 On the index of composition of integers from various sets. Zbl 1163.11005De Koninck, J. M.; Kátai, I.; Subbarao, M. V. 1 2007 On the maximal and minimal exponent of the prime power divisors of integers. Zbl 1111.11042Kátai, I.; Subbarao, M. V. 2 2006 A remark on trigonometric sums. Zbl 1150.11029Kátai, I. 2 2006 Some further remarks on the iterates of the \(\varphi\) and the \(\sigma\)-functions. Zbl 1127.11067Kátai, I.; Subbarao, M. V. 2 2006 On the mean value of the index of composition of an integer. Zbl 1153.11331De Koninck, J. M.; Kátai, I. 6 2005 Some remarks on the \(\varphi\) and on the \(\sigma\) functions. Zbl 1109.11047Kátai, Imre; Subbarao, Matukumalli Venkata 1 2005 On the distribution modulo 1 of the values of \(F(n)+\alpha\sigma(n)\). Zbl 1072.11054De Koninck, Jean-Marie; Kátai, Imre 1 2005 Distribution of additive and \(q\)-additive functions under some conditions. Zbl 1047.11077Kátai, I.; Subbarao, M. V. 1 2004 Generalized number systems in Euclidean spaces. Zbl 1083.11011Kátai, I. 6 2003 On the counting function for the Niven numbers. Zbl 1023.11003De Koninck, Jean-Marie; Doyon, Nicolas; Kátai, Imre 5 2003 Metric properties of alternating Oppenheim expansions. Zbl 1023.11040Galambos, János; Kátai, Imre; Lee, Min-Young 2 2003 Some remarks on a paper of Ramachandra. Zbl 1060.11057Kátai, I.; Subbarao, M. V. 2 2003 A note on a theorem of Daboussi. Zbl 1047.11079Indlekofer, K.-H.; Kátai, I. 2 2003 On the distribution of exponential divisors. Zbl 1108.11066Kátai, Imre; Subbarao, Matukumalli Venkata 1 2003 On a theorem of Daboussi related to the set of Gaussian integers. Zbl 1050.11071Bassily, N. L.; De Koninck, J.-M.; Kátai, I. 1 2003 Investigations in the theory of \(q\)-additive and \(q\)-multiplicative functions. II. Zbl 1012.11008Indlekofer, K.-H.; Kátai, I. 4 2002 On \(q\)-additive and \(q\)-multiplicative functions. Zbl 1042.11005Kátai, I. 2 2002 On \(q\)-multiplicative functions. Zbl 1017.11007Indlekofer, K.-H.; Kátai, I.; Lee, Y.-W. 1 2002 On linear combinations of \(q\)-additive functions. Zbl 1026.11006Indlekofer, K.-H.; Kátai, I. 1 2002 Investigations in the theory of \(q\)-additive and \(q\)-multiplicative functions. I. Zbl 0980.11001Indlekofer, K.-H.; Kátai, I. 9 2001 On the set for which 1 is univoque. Zbl 0980.11009Kátai, I.; Kallós, G. 3 2001 A comparative result for multiplicative functions. Zbl 1042.11060Indlekofer, K.-H.; Wagner, R.; Kátai, I. 3 2001 Additive functions with respect to expansions over the set of Gaussian integers. Zbl 0989.11004Kátai, I.; Liardet, P. 2 2001 Continuous homomorphisms as arithmetical functions, and sets of uniqueness. Zbl 0987.11002Kátai, I. 2 2000 On a theorem of H. Daboussi. Zbl 0963.11055Indlekofer, K.-H.; Kátai, I. 1 2000 On the prime power divisors of the iterates of the Euler \(\varphi\)-function. Zbl 0933.11047Bassily, N. L.; Kátai, I.; Wijsmuller, M. 9 1999 Construction of number systems in algebraic number fields. Zbl 0963.11060Kátai, I. 4 1999 On the multiplicative function \(n^{i\tau}\). Zbl 0911.11041Kátai, I.; Subbarao, M. V. 1 1998 The characterization of \(n^{ir}\) as a multiplicative function. Zbl 0929.11039Katai, I.; Subbarao, M. V. 1 1998 A new characteristic of the identity function. Zbl 0871.11063De Koninck, Jean-Marie; Kátai, Imre; Phong, Bui Minh 7 1997 Number of prime divisors of \(\varphi_ k(n)\), where \(\varphi_ k\) is the \(k\)-fold iterative of \(\varphi\). Zbl 0878.11036Bassily, N. L.; Kátai, I.; Wijsmuller, M. 3 1997 Distribution of the values of \(q\)-additive functions on polynomial sequences. Zbl 0832.11035Bassily, N. L.; Kátai, I. 32 1995 On the structure of univoque numbers. Zbl 0874.11013Daróczy, Zoltán; Kátai, Imre 32 1995 Generalized number systems and fractal geometry. Zbl 1029.11005Kátai, Imre 10 1995 On the distribution of subsets of primes in the prime factorization of integers. Zbl 0828.11046De Koninck, Jean-Marie; Kátai, Imre 3 1995 On some properties of attractors generated by iterated function systems. Zbl 0843.28004Indlekofer, K.-H.; Járai, A.; Kátai, I. 2 1995 Number systems in imaginary quadratic fields. Zbl 0817.11046Kátai, I. 7 1994 Univoque sequences. Zbl 0809.11008Daróczy, Zoltán; Kátai, Imre 25 1993 Some remarks on generalized number systems. Zbl 0791.11037Indlekofer, K.-H.; Kátai, I.; Racsko, P. 7 1993 On the distribution of translates of additive functions. Zbl 0792.11028Indlekofer, K.-H.; Kátai, I. 1 1993 On number systems in algebraic number fields. Zbl 0784.11049Kátai, I.; Környei, I. 18 1992 Number systems and fractal geometry. Zbl 0784.11048Indlekofer, K.-H.; Kátai, I.; Racskó, P. 5 1992 Distribution of \(q\)-additive function. Zbl 0774.11043Kátai, I. 4 1992 On the modulus of continuity of the distribution of some arithmetical functions. Zbl 0778.11044Indlekofer, K.-H.; Kátai, I. 2 1992 Additive functions satisfying congruences. Zbl 0778.11003Kátai, I.; Van Rossum-Wijsmuller, M. 1 1992 On the number of prime factors of \(\varphi{} (\varphi{}(n))\). Zbl 0751.11041Kátai, I. 3 1991 Multiplicative functions with regularity properties. VI. Zbl 0746.11036Kátai, I. 2 1991 Arithmetical functions satisfying some relations. Zbl 0756.11025Kátai, Imre 2 1991 Multiplicative functions with small increments. III. Zbl 0746.11032Indlekofer, K.-H.; Kátai, I. 1 1991 Additive functions monotonic on the set of primes. II. Zbl 0765.11039De Koninck, Jean-Marie; Kátai, Imre; Mercier, Armel 1 1991 Distribution of \({\omega{}}({\sigma{}}(p+1))\). Zbl 0751.11040Kátai, I. 1 1991 On completely additive functions related to interval-filling sequences. Zbl 0705.11001Daróczy, Z.; Kátai, I.; Szabó, T. 4 1990 Multiplicative functions with small increments. I. Zbl 0709.11050Indlekofer, K.-H.; Kátai, I. 4 1990 Multiplicative functions with small increments. II. Zbl 0722.11045Indlekofer, K.-H.; Kátai, I. 2 1990 The continuity of the limiting distribution of a function of two additive functions. Zbl 0675.10034Galambos, János; Kátai, Imre 2 1990 Exponential sums with multiplicative coefficients. Zbl 0689.10058Indlekofer, K.-H.; Kátai, I. 2 1989 A simple proof for the continuity of infinite convolutions of binary random variables. Zbl 0666.60021Galambos, Janos; Kátai, Imre 1 1989 Generalized moments of additive functions. Zbl 0678.10038Indlekofer, Karl-Heinz; Kátai, Imre 1 1989 Characterization of arithmetical functions, problems and results. Zbl 0683.10040Kátai, I. 1 1989 Generalized number systems in the complex plane. Zbl 0653.10003Daróczy, Z.; Kátai, I. 10 1988 Interval filling sequences and additive functions. Zbl 0669.10018Daróczy, Zoltán; Kátai, Imre 6 1988 Uniform distribution of sequences connected with arithmetical functions. Zbl 0655.10033Kátai, I. 1 1988 Moments of additive functions on the sequence \(\{p+1\}\). Zbl 0678.10039Indlekofer, K.-H.; Kátai, I. 1 1988 On some pairs of multiplicative functions. Zbl 0682.10035Indlekofer, K. H.; Kátai, I. 1 1988 Some remarks on arithmetical functions satisfying linear recursions in short intervals. Zbl 0682.10036Kátai, I. 1 1988 A renewal theorem for random walks in multidimensional time. Zbl 0622.60101Galambos, J.; Indlekofer, K.-H.; Kátai, I. 5 1987 On additive arithmetical functions with values in topological groups. I, II. Zbl 0647.10030Daróczy, Z.; Kátai, I. 2 1987 On differentiable additive functions. Zbl 0669.10019Daróczy, Zoltán; Kátai, Imre 1 1987 ...and 68 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 335 Authors 59 Kátai, Imre 21 De Koninck, Jean-Marie 20 Thuswaldner, Jörg Maximilian 15 Indlekofer, Karl-Heinz 14 Kong, Derong 13 Komornik, Vilmos 12 Mauduit, Christian 11 Akiyama, Shigeki 11 Luca, Florian 11 Madritsch, Manfred G. 10 Drmota, Michael 10 Lemańczyk, Mariusz 9 Baker, Simon 9 Rivat, Joël 8 Shparlinski, Igor E. 8 Tenenbaum, Gérald 7 Elliott, Peter D. T. A. 7 Pethő, Attila 6 Daróczy, Zoltán 6 de Vries, Martijn 6 Loreti, Paola 6 Loridant, Benoit 5 Bourgain, Jean 5 Frantzikinakis, Nikos 5 Kułaga-Przymus, Joanna 5 Li, Wenxia 5 Pollack, Paul 5 Stepanauskas, Gediminas 5 Zhai, Wenguang 4 Allaart, Pieter C. 4 Banks, William D. 4 Brunotte, Horst 4 Deshouillers, Jean-Marc 4 El Abdalaoui, El Houcein 4 Host, Bernard 4 Steiner, Wolfgang 4 Stoll, Thomas 4 Zhang, Deyu 3 Bergelson, Vitaly 3 Berthé, Valérie 3 Bui Minh Phong 3 Chen, Yonggao 3 Doyon, Nicolas 3 Erdős, Pál 3 Fang, Jinhui 3 Frougny, Christiane 3 Galambos, Janos 3 Heuberger, Clemens 3 Hildebrand, Adolf J. 3 Kanigowski, Adam 3 Klesov, Oleg I. 3 Klurman, Oleksiy 3 Lai, Anna Chiara 3 Lu, Fan 3 Lu, Guangshi 3 Luo, Jun 3 Marchwicki, Jacek 3 Müllner, Clemens 3 Nowak, Werner Georg 3 Pedicini, Marco 3 Petrushov, Oleg A. 3 Sanna, Carlo 3 Scheicher, Klaus 3 Šiaulys, Jonas 3 Surer, Paul 3 Vávra, Tomáš 3 Wigman, Igor 2 Alcaraz Barrera, Rafael 2 Allouche, Jean-Paul Simon 2 Baiocchi, Claudio 2 Balasubramanian, Ramachandran 2 Bandt, Christoph 2 Barbé, André M. 2 Bassily, Nader L. 2 Bernat, Julien 2 Bordellès, Olivier 2 Broughan, Kevin A. 2 Dajani, Karma 2 Delbourgo, Daniel 2 Fang, Lulu 2 Ferenczi, Sébastien 2 Fischler, Roger 2 Germán, László 2 Gilbert, William J. 2 Giri, Sumit 2 Głąb, Szymon 2 Hare, Kevin G. 2 Jankauskas, Jonas 2 Kropf, Sara 2 Laishram, Shanta 2 Lebowitz-Lockard, Noah 2 Li, Yaoqiang 2 Maksa, Gyula 2 Mangerel, Alexander P. 2 Martin, Bruno 2 Morgenbesser, Johannes F. 2 Pelantová, Edita 2 Pintz, Janos 2 Prodinger, Helmut 2 Saidak, Filip ...and 235 more Authors all top 5 Cited in 122 Serials 40 Journal of Number Theory 40 Acta Mathematica Hungarica 17 Monatshefte für Mathematik 16 Lithuanian Mathematical Journal 13 Transactions of the American Mathematical Society 12 Functiones et Approximatio. Commentarii Mathematici 10 Acta Mathematica Academiae Scientiarum Hungaricae 10 Proceedings of the American Mathematical Society 9 Journal de Théorie des Nombres de Bordeaux 8 Journal of Mathematical Analysis and Applications 8 Archiv der Mathematik 7 Theoretical Computer Science 7 Aequationes Mathematicae 7 The Ramanujan Journal 6 Journal d’Analyse Mathématique 6 Advances in Mathematics 6 Annales de l’Institut Fourier 6 Indagationes Mathematicae. New Series 6 International Journal of Number Theory 5 Mathematical Notes 5 Ergodic Theory and Dynamical Systems 4 Israel Journal of Mathematics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Nonlinearity 4 Acta Arithmetica 4 Compositio Mathematica 4 Mathematika 4 Topology and its Applications 4 Finite Fields and their Applications 4 Annales Mathématiques du Québec 3 Analysis Mathematica 3 Computers & Mathematics with Applications 3 Fundamenta Mathematicae 3 Mathematica Slovaca 3 Mathematical and Computer Modelling 3 Linear Algebra and its Applications 3 Discrete and Continuous Dynamical Systems 3 Acta Mathematica Sinica. English Series 2 Bulletin of the Australian Mathematical Society 2 Ukrainian Mathematical Journal 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Acta Mathematica 2 Bulletin de la Société Mathématique de France 2 Colloquium Mathematicum 2 Duke Mathematical Journal 2 Geometriae Dedicata 2 Michigan Mathematical Journal 2 Osaka Journal of Mathematics 2 Results in Mathematics 2 Forum Mathematicum 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 The Electronic Journal of Combinatorics 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 Integers 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Proceedings of the Steklov Institute of Mathematics 2 Algebra & Number Theory 2 Journal de l’École Polytechnique – Mathématiques 2 Research in Number Theory 1 Communications on Pure and Applied Mathematics 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 The Mathematical Intelligencer 1 Acta Scientiarum Mathematicarum 1 Computing 1 Illinois Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of Combinatorial Theory. Series A 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Journal of Statistical Planning and Inference 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Proceedings of the Japan Academy. Series A 1 Quaestiones Mathematicae 1 RAIRO, Informatique Théorique 1 Rendiconti del Seminario Matematico della Università di Padova 1 Semigroup Forum 1 Tohoku Mathematical Journal. Second Series 1 Advances in Applied Mathematics 1 Combinatorica 1 Acta Applicandae Mathematicae 1 Discrete & Computational Geometry 1 Information and Computation 1 Journal of Theoretical Probability 1 Journal of the American Mathematical Society 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 The Journal of Geometric Analysis 1 Designs, Codes and Cryptography 1 Geometric and Functional Analysis. GAFA 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 1 Communications in Statistics. Theory and Methods 1 Stochastic Processes and their Applications 1 Bulletin of the American Mathematical Society. New Series 1 Theory of Probability and Mathematical Statistics ...and 22 more Serials all top 5 Cited in 37 Fields 365 Number theory (11-XX) 72 Dynamical systems and ergodic theory (37-XX) 39 Measure and integration (28-XX) 27 Probability theory and stochastic processes (60-XX) 21 Computer science (68-XX) 13 Convex and discrete geometry (52-XX) 12 Combinatorics (05-XX) 12 Real functions (26-XX) 8 Information and communication theory, circuits (94-XX) 7 Difference and functional equations (39-XX) 7 Sequences, series, summability (40-XX) 7 Statistics (62-XX) 5 Operator theory (47-XX) 5 General topology (54-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Group theory and generalizations (20-XX) 3 Functions of a complex variable (30-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Partial differential equations (35-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Quantum theory (81-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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