LIST OF PUBLICATIONS OF BUI MINH PHONG



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Annales Univ. Sci. Budapest., Sect. Comp. 38 (2012) 13-17 LIST OF PUBLICATIONS OF BUI MINH PHONG [1] On the connection between the rank of apparition of a prime p in Fibonacci sequence and the Fibonacci primitive roots, Fibonacci Quart., 15 (4) (1977), 347-349. (with P. Kiss) [2] On a function concerning second-order recurrences, Annales Univ. Sci. Budapest. Sect. Math., 21 (1978), 119-122. (with P. Kiss) [3] Divisibility properties in second order recurrences, Publ. Math. Debrecen, 26 (3-4) (1979), 187-197. (with P. Kiss) [4] A generalization of A. Makowski s theorem on pseudoprime numbers, Tap chi Toan hoc, 7 (1979), 16-19. (in Vietnamese). [5] On Lucas pseudoprimes which are products of s primes, Fibonacci numbers and their applications, Patras, 1984, Math. Appl., 28, Reidel, Dordrecht, 1986, 131-139. (with P. Kiss and E. Lieuwens) [6] Lucas- és Lehmer-pszeudoprím számokról, Mat. Lapok, 33 (1-3) (1982/86), 79-92. (On Lucas and Lehmer pseudoprime numbers) (Hungarian) [7] On super pseudoprimes which are products of three primes, Annales Univ. Sci. Budapest. Sect. Math., 30 (1987), 125-129. [8] Kapcsolatok a különböző típusú Lucas pszeudoprímek között, Tudományos Közl. Eger, (1987), 55-67. (Connections between Lucas pseudoprimes of different types (in Hungarian)) [9] On a problem of A. Rotkiewicz, Math. Comp., 48 (1987), 751-755. (with P. Kiss) [10] Rotkiewicz egy problémájának általánosított megoldása, Mat. Lapok, 34 (1-3) (1987), 109-119. Generalized solution of Rotkiewicz s problem (in Hungarian) [11] Lehmer sorozatok és Lehmer pszeudoprím számok, kandidátusi értekezés, Budapest, 1987. (Lehmer sequences and Lehmer pseudoprime numbers (in Hungarian), Candidate of Sciences Thesis) [12] Multiplicative functions satisfying a congruence property, Proceedings of the Regional Mathematical Conference, Kalsk, 1988, Pedagog. Univ. Zielona Góra, Zielona Góra, 1990, 71-72.

14 Bui Minh Phong [13] On super Lucas and super Lehmer pseudoprimes, Studia Sci. Math. Hungar., 23 (3-4) (1988), 435-442. [14] On two Diophantine equations concerning Lucas sequences, Publ. Math. Debrecen, 35 (3-4) (1988), 301-307. (with I. Joó) [15] Weakly composite Lucas numbers, Annales Univ. Sci. Budapest. Sect. Math., 31 (1988), 179-182. (with P. Kiss) [16] The reciprocal sum of prime divisors of Lucas numbers, Tudományos Közl. Eger, (1989), 47-54. (with P. Kiss) [17] On super Lehmer pseudoprimes, Studia Sci. Math. Hungar., 25 (1-2) (1990), 121-124. (with I. Joó) [18] Multiplicative functions satisfying a congruence property II., Annales Univ. Sci. Budapest. Sect. Math., 33 (1990), 253-259. [19] Note on multiplicative functions satisfying a congruence property, Annales Univ. Sci. Budapest. Sect. Math., 33 (1990), 261-265. (with J. Fehér) [20] Note on a theorem of J.-L. Mauclaire and Leo Murata on multiplicative functions, Annales Univ. Sci. Budapest. Sect. Math., 33 (1990), 247-251. [21] Multiplicative functions satisfying a congruence property, Studia Sci. Math. Hungar., 26 (1) (1991), 123-128. [22] Multiplicative functions satisfying a congruence property III., Publ. Math. Debrecen, 39 (1-2) (1991), 149-153. [23] Lucas primitive roots, Fibonacci Quart., 29 (1) (1991), 66-71. [24] On generalized Lehmer sequences, Acta Math. Hungar., 57 (3-4) (1991), 201-211. [25] Characterization of additive functions with values in a compact abelian group, Publ. Math. Debrecen, 40 (3-4) (1992), 273-278. [26] On additive functions with values in a compact abelian group, Acta Sci. Math. Szeged, 56 (3-4) (1992), 249-258. [27] On a theorem of Kátai-Wirsing, Acta Sci. Math. Szeged, 56 (3-4) (1992), 237-247. [28] A note on multiplicative functions with regularity properties, Publ. Math. Debrecen, 41 (1-2) (1992), 117-125. [29] Quadratic residues and related problems, Annales Univ. Sci. Budapest. Sect. Comp., 13 (1992), 149-155. (with J.P. Jones) [30] Arithmetic functions with regularity properties, Österreichisch-Ungarisch- Slowakisches Kolloquium über Zahlentheorie, Maria Trost, 1992, Karl- Franzens-Univ. Graz, Grazer Math. Ber. 318 (1993), 121-130.

List of publications 15 [31] Arithmetical functions with congruence properties, Annales Univ. Sci. Budapest. Sect. Math., 35 (1992), 151-155. (with I. Joó) [32] Multiplicative functions satisfying a congruence property V., Acta Math. Hungar., 62 (1-2) (1993), 81-87. [33] Recurrence sequences and pseudoprimes, Acta Acad. Paed. Agriensis, Sect. Mat., (1993), 111-141. [34] A characterization of some arithmetical multiplicative functions, Acta Math. Hungar., 63 (1) (1994), 29-43. [35] On the distribution of Lucas and Lehmer pseudoprimes, Annales Univ. Sci. Budapest. Sect. Comp., 14 (1994), 145-163. [36] Characterization of pairs of additive functions with values in compact abelian groups, Annales Univ. Sci. Budapest. Sect. Comp., 14 (1994), 165-173. [37] Characterizations of the logarithm as an additive function, Annales Univ. Sci. Budapest. Sect. Comp., 16 (1996), 45-67. [38] A new characteristic of the identity function, J. Number Theory, 63 (2) (1997), 325-338. (with J.-M. De Koninck and I. Kátai) [39] A characterization of the identity function, Acta Acad. Paedagog. Agriensis, Sect. Mat. (N.S.), 24 (1993), 3-9. [40] On some pairs of multiplicative functions correlated by an equation, New trends in probability and statistics, Vol. 4, Palanga, 1996, VSP, Utrecht, 1997, 191-203. (with I. Kátai) [41] Multiplicative functions with regularity properties, Leaflets in Mathematics, Pécs, 1998, 79-83. [42] On multiplicative functions satisfying a special relation, Acta Sci. Math. Szeged, 64 (1-2) (1998), 49-57. (with J. Fehér and I. Kátai) [43] Quasi-multiplicative functions with congruence property, Acta Acad. Paedagog. Agriensis Sect. Mat. (N.S.), 25 (1998), 55-59. [44] Note on multiplicative functions satisfying congruence property II., Math. Pannon., 10 (1) (1999), 133-138. (with J. Fehér) [45] Reduced residue systems and a problem for multiplicative functions, Annales Univ. Sci. Budapest. Sect. Comp., 18 (1999), 35-46. [46] Additive uniqueness sets for multiplicative functions, Publ. Math. Debrecen, 55 (3-4) (1999), 237-243. (with P.V. Chung) [47] Perfect numbers concerning Fibonacci sequence, Acta Acad. Paedagog. Agriensis Sect. Mat. (N.S.), 26 (1999), 3-8.

16 Bui Minh Phong [48] On some pairs of multiplicative functions correlated by an equation II., Aequationes Math., 59 (3) (2000), 287-297. (with I. Kátai) [49] A characterization of n s as a multiplicative function, Acta Math. Hungar., 87 (4) (2000), 317-331. (with I. Kátai) [50] On completely additive functions satisfying a congruence, Annales Univ. Sci. Budapest. Sect. Comp., 19 (2000), 237-249. (with A. Kovács) [51] A characterization of some unimodular multiplicative functions, Publ. Math. Debrecen, 57 (3-4) (2000), 339-366. [52] On a problem of Fabrykowski and Subbarao concerning quasi multiplicative functions satisfying a congruence property, Acta Math. Hungar., 89 (1-2) (2000), 149-159. (with J. Fehér) [53] Reduced residue systems and a problem for multiplicative functions II., Annales Univ. Sci. Budapest. Sect. Comp., 20 (2001), 97-106. [54] Multiplicative functions satisfying a congruence property IV., Acta Acad. Paedagog. Agriensis Sect. Mat. (N.S.), 28 (2001), 35-42. [55] A characterization of some unimodular multiplicative functions II., Annales Univ. Sci. Budapest. Sect. Comp., 21 (2002), 187-194. [56] On arithmetical functions satisfying congruence properties, Annales Univ. Sci. Budapest. Sect. Comp., 22 (2003), 49-67. [57] On additive functions satisfying congruence properties, Acta Acad. Paedagog. Agriensis Sect. Mat. (N.S.), 30 (2003), 123-132. [58] Elementary problems which are equivalent to the Goldbach s conjecture, Acta Acad. Paedagog. Agriensis Sect. Mat. (N.S.), 31 (2004), 33-37. (with D.D. Li) [59] On sets characterizing the identity function, Annales Univ. Sci. Budapest. Sect. Comp., 24 (2004), 295-306. [60] A characterization of the identity function with an equation of Hosszú type, Publ. Math. Debrecen, 69 (1-2) (2006), 219-226. [61] On completely multiplicative functions whose values are roots of unity, Acta Math. Hungar., 113 (1-2) (2006), 63-71. [62] Additive uniqueness sets for multiplicative functions, Annales Univ. Sci. Budapest. Sect. Comp., 26 (2006), 65-77. (with K.-H. Indlekofer) [63] On integer-valued arithmetical functions satisfying congruence properties, Annales Univ. Sci. Budapest. Sect. Comp., 27 (2007), 229-244. [64] On a problem of Kátai and Subbarao, Analytic and probabilistic methods in number theory, TEV, Vilnius, 2007, 143-149.

List of publications 17 [65] On some pairs of multiplicative functions with small increments, Annales Univ. Sci. Budapest. Sect. Comp., 28 (2008), 97-106. [66] A characterization of the identity function with functional equations, Annales Univ. Sci. Budapest. Sect. Comp., 32 (2010), 247-252. [67] On the pair of multiplicative functions satisfying a congruence property, Annales Univ. Sci. Budapest. Sect. Comp., 33 (2010), 101-122. [68] On the pairs of multiplicative functions with a special relation, Annales Univ. Sci. Budapest. Sect. Comp., 34 (2011), 45-66. [69] On multiplicative functions with shifted arguments, Annales Univ. Sci. Budapest. Sect. Comp., 35 (2011), 35-42. [70] On real valued additive functions modulo 1, Annales Univ. Sci. Budapest. Sect. Comp., 36 (2012), 355-373. (with K. Chakraborty and I. Kátai) [71] On additive functions satisfying some relations, Annales Univ. Sci. Budapest. Sect. Comp., 38 (2012), 257-268. (with K. Chakraborty and I. Kátai) [72] On the values of arithmetic functions in short intervals, Annales Univ. Sci. Budapest. Sect. Comp., 38 (2012), 269-277. (with K. Chakraborty and I. Kátai)