Document Search Results

Product representations by rationals. (English) Zbl 1132.11352

Kanemitsu, Shigeru (ed.) et al., Number theoretic methods. Future trends. Proceedings of the 2nd China-Japan seminar, Iizuka, Fukuoka, Japan, March 12–16, 2001. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1080-X/hbk). Dev. Math. 8, 119-150 (2002).

MSC: 11N37 11K65

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Sburlati, G.

Ramdom variables related to distributions of sums modulo an integer. (English) Zbl 1072.11062

Rend. Semin. Mat., Torino 60, No. 3, 157-165 (2002).

Reviewer: Attila Pethő (Debrecen)

MSC: 11K65 60E05

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Full Text: EuDML

Coleman, M. D.

The Hooley-Huxley contour method, for problems in number fields. II: Factorization and divisibility. (English) Zbl 1066.11049

Mathematika 49, No. 1-2, 201-225 (2002).

Reviewer: J. Kaczorowski (Poznań)

MSC: 11R47 11N37 11K65 11N45

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Zhang, Wen-Bin

Probabilistic number theory in additive arithmetic semigroups. III. (English) Zbl 1122.11050

Ramanujan J. 6, No. 4, 387-428 (2002).

MSC: 11K65 11N60 11N37 11T55 60F05

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Šiaulys, Jonas

The convergence to the Poisson law in number theory. (English) Zbl 1048.11063

Fiz. Mat. Fak. Moksl. Semin. Darb. 5, 108-114 (2002).

Reviewer: Jürgen Spilker (Freiburg i. Br.)

MSC: 11K65

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Elliott, P. D. T. A.

The least prime primitive root and Linnik’s theorem. (English) Zbl 1032.11040

Bennett, M. A. (ed.) et al., Number theory for the millennium I. Proceedings of the millennial conference on number theory, Urbana-Champaign, IL, USA, May 21-26, 2000. Natick, MA: A K Peters. 393-418 (2002).

Reviewer: Cem Yalçin Yildirim (Bebek)

MSC: 11N69 11K65

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Zhang, Wen-Bin

A central limit theorem for the number of distinct degrees of prime factors in additive arithmetical semigroups. (English) Zbl 1068.11064

Bennett, M. A. (ed.) et al., Number theory for the millennium III. Proceedings of the millennial conference on number theory, Urbana-Champaign, IL, USA, May 21–26, 2000. Natick, MA: A K Peters (ISBN 1-56881-152-7/hbk). 437-450 (2002).

Reviewer: Štefan Porubský (Praha)

MSC: 11N80 11K65 13F20 11N25 11N45

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Steiner, Wolfgang

On the joint distribution of \(q\)-additive functions of polynomial sequences. (English) Zbl 1036.11046

Theory Stoch. Process. 8(24), No. 3-4, 336-357 (2002).

Reviewer: R. E. Maiboroda (Kyïv)

MSC: 11N60 60F05 11K65

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Indlekofer, Karl-Heinz

New approach to probabilistic number theory. (English) Zbl 1036.11036

Theory Stoch. Process. 8(24), No. 1-2, 136-153 (2002).

Reviewer: A. D. Borisenko (Kyïv)

MSC: 11K65

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Galambos, J.; Simonelli, I.

A purely probabilistic proof for a theorem of Bakstys on multiplicative arithmetical functions. (English) Zbl 1017.11041

Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 21, 177-186 (2002).

MSC: 11K65

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Fehér, J.; Indlekofer, K.-H.; Timofeev, N. M.

A set of uniqueness for completely additive arithmetic functions. (English) Zbl 1017.11004

Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 21, 57-67 (2002).

MSC: 11A25 11K65

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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

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Kátai, I.

On \(q\)-additive and \(q\)-multiplicative functions. (English) Zbl 1042.11005

Agarwal, A. K. (ed.) et al., Number theory and discrete mathematics. Proceedings of the international conference in honour of Srinivasa Ramanujan, Chandigarh, India, October 2–6, 2000. Basel: Birkhäuser (ISBN 3-7643-6720-2/hbk). Trends in Mathematics, 61-76 (2002).

Reviewer: Jürgen Spilker (Freiburg i. Br.)

MSC: 11A67 11K65 11A63

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Manstavičius, E.

Functional limit theorems in probabilistic number theory. (English) Zbl 1065.11059

Halász, Gábor (ed.) et al., Paul Erdős and his mathematics I. Based on the conference, Budapest, Hungary, July 4–11, 1999. Berlin: Springer; Budapest: János Bolyai Mathematical Society (ISBN 3-540-42236-6/2-vol.-set; 963-8022-96-5). Bolyai Soc. Math. Stud. 11, 465-491 (2002).

Reviewer: Wolfgang Schwarz (Frankfurt / Main)

MSC: 11K65 11-02

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Kubilius, J.

On the remainder term in the limit theorems for additive arithmetical functions. (English) Zbl 1046.11053

Halász, Gábor (ed.) et al., Paul Erdős and his mathematics I. Based on the conference, Budapest, Hungary, July 4–11, 1999. Berlin: Springer; Budapest: János Bolyai Mathematical Society (ISBN 3-540-42236-6/2-vol.-set; 963-8022-96-5). Bolyai Soc. Math. Stud. 11, 355-362 (2002).

MSC: 11K65

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Šiaulys, J.

On the separation of distributions of additive functions. (English) Zbl 1192.11067

Dubickas, A. (ed.) et al., Analytic and probabilistic methods in number theory. Proceedings of the third international conference in honour of J. Kubilius, Palanga, Lithuania, September 24–28, 2001. Vilnius: TEV (ISBN 9955-491-30-2/hbk). 297-302 (2002).

Reviewer: Filip Saidak (Greensboro)

MSC: 11N60 11K65

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Stepanauskas, Gediminas

The mean values of multiplicative functions. V. (English) Zbl 1102.11053

Dubickas, A. (ed.) et al., Analytic and probabilistic methods in number theory. Proceedings of the third international conference in honour of J. Kubilius, Palanga, Lithuania, September 24–28, 2001. Vilnius: TEV (ISBN 9955-491-30-2/hbk). 272-281 (2002).

Reviewer: Mongi Naimi (Tunis)

MSC: 11N37 11N60 11K65

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Spilker, J.

Almost-periodicity of \(g\)-additive and \(g\)-multiplicative functions. (English) Zbl 1192.11050

Dubickas, A. (ed.) et al., Analytic and probabilistic methods in number theory. Proceedings of the third international conference in honour of J. Kubilius, Palanga, Lithuania, September 24–28, 2001. Vilnius: TEV (ISBN 9955-491-30-2/hbk). 256-264 (2002).

Reviewer: Olaf Ninnemann (Berlin)

MSC: 11K70 11K65

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Manstavičius, E.

Functional limit theorem for sequences of mappings on the symmetric group. (English) Zbl 1195.11102

Dubickas, A. (ed.) et al., Analytic and probabilistic methods in number theory. Proceedings of the third international conference in honour of J. Kubilius, Palanga, Lithuania, September 24–28, 2001. Vilnius: TEV (ISBN 9955-491-30-2/hbk). 175-187 (2002).

MSC: 11K65 60F99

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Mačiulis, A.

Some formulas for the moments of additive functions. (English) Zbl 1195.11101

Dubickas, A. (ed.) et al., Analytic and probabilistic methods in number theory. Proceedings of the third international conference in honour of J. Kubilius, Palanga, Lithuania, September 24–28, 2001. Vilnius: TEV (ISBN 9955-491-30-2/hbk). 169-174 (2002).

MSC: 11K65 11N60

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Bareikis, G.

Kubilius method in the polynomial semigroup. (English) Zbl 1195.11098

Dubickas, A. (ed.) et al., Analytic and probabilistic methods in number theory. Proceedings of the third international conference in honour of J. Kubilius, Palanga, Lithuania, September 24–28, 2001. Vilnius: TEV (ISBN 9955-491-30-2/hbk). 1-10 (2002).

Reviewer: Olaf Ninnemann (Berlin)

MSC: 11K65 11N37

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Saidak, Filip

An elementary proof of a theorem of Delange. (English) Zbl 1085.11048

C. R. Math. Acad. Sci., Soc. R. Can. 24, No. 4, 144-151 (2002).

Reviewer: Eira J. Scourfield (Egham)

MSC: 11N37 11K36 11K65

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Šiaulys, J.

The logarithmic frequency of values of additive functions. (English. Russian original) Zbl 1027.11057

Lith. Math. J. 42, No. 2, 204-210 (2002); translation from Liet. Mat. Rink. 42, No. 2, 257-264 (2002).

Reviewer: Eira J.Scourfield (Egham)

MSC: 11K65

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Full Text: DOI

Indlekofer, K.-H.; Kátai, I.

Investigations in the theory of \(q\)-additive and \(q\)-multiplicative functions. II. (English) Zbl 1012.11008

Acta Math. Hung. 97, No. 1-2, 97-108 (2002).

Reviewer: L.Hajdu (Debrecen)

MSC: 11A63 11A67 11K65

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Full Text: DOI

Granville, Andrew; Soundararajan, K.

Upper bounds for \(|L(1,\chi)|\). (English) Zbl 1022.11041

Q. J. Math. 53, No. 3, 265-284 (2002).

Reviewer: Cem Yalçin Yildirim (Bebek)

MSC: 11M20 11L40 11K65

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Full Text: DOI arXiv

Kubota, Hisayoshi; Sugita, Hiroshi

Probabilistic proof of limit theorems in number theory by means of adeles. (English) Zbl 1137.11330

Kyushu J. Math. 56, No. 2, 391-404 (2002).

MSC: 11K65 11A25 11K41 60F05

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Full Text: DOI

Diaconis, Persi

G. H. Hardy and probability??? (English) Zbl 1029.01016

Bull. Lond. Math. Soc. 34, No. 4, 385-402 (2002).

Reviewer: H.Grimm (Jena)

MSC: 01A70 01A60 60-03 11K65 40E05 11-03

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Full Text: DOI

Indlekofer, Karl-Heinz; Timofeev, Nikolai M.

On multiplicative functions with mean-value one on the set of shifted primes. (English) Zbl 1039.11050

Arch. Math. 78, No. 6, 454-458 (2002).

Reviewer: Jürgen Spilker (Freiburg i. Br.)

MSC: 11K65 11N64

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Full Text: DOI

Arratia, R.

On the amount of dependence in the prime factorization of a uniform random integer. (English) Zbl 1126.11331

Bollobás, Béla (ed.), Contemporary combinatorics. Collection of survey papers in combinatorics based on lectures given in the workshop on probabilistic combinatorics at the Paul Erdős Summer Research Center in Mathematics, Budapest, Hungary. Berlin: Springer; Budapest: János Bolyai Mathematical Society (ISBN 3-540-42725-2/hbk). Bolyai Soc. Math. Stud. 10, 29-91 (2002).

Reviewer: Eugenijus Manstavičius (MR1919568)

MSC: 11K65 11N25 60E99

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Full Text: arXiv

Found 29 Documents (Results 1–29)

Product representations by rationals. (English) Zbl 1132.11352

Ramdom variables related to distributions of sums modulo an integer. (English) Zbl 1072.11062

The Hooley-Huxley contour method, for problems in number fields. II: Factorization and divisibility. (English) Zbl 1066.11049

Probabilistic number theory in additive arithmetic semigroups. III. (English) Zbl 1122.11050

The convergence to the Poisson law in number theory. (English) Zbl 1048.11063

The least prime primitive root and Linnik’s theorem. (English) Zbl 1032.11040

A central limit theorem for the number of distinct degrees of prime factors in additive arithmetical semigroups. (English) Zbl 1068.11064

On the joint distribution of \(q\)-additive functions of polynomial sequences. (English) Zbl 1036.11046

New approach to probabilistic number theory. (English) Zbl 1036.11036

A purely probabilistic proof for a theorem of Bakstys on multiplicative arithmetical functions. (English) Zbl 1017.11041

A set of uniqueness for completely additive arithmetic functions. (English) Zbl 1017.11004

Divisors of shifted primes. (English) Zbl 1017.11042

On \(q\)-additive and \(q\)-multiplicative functions. (English) Zbl 1042.11005

Functional limit theorems in probabilistic number theory. (English) Zbl 1065.11059

On the remainder term in the limit theorems for additive arithmetical functions. (English) Zbl 1046.11053

On the separation of distributions of additive functions. (English) Zbl 1192.11067

The mean values of multiplicative functions. V. (English) Zbl 1102.11053

Almost-periodicity of \(g\)-additive and \(g\)-multiplicative functions. (English) Zbl 1192.11050

Functional limit theorem for sequences of mappings on the symmetric group. (English) Zbl 1195.11102

Some formulas for the moments of additive functions. (English) Zbl 1195.11101

Kubilius method in the polynomial semigroup. (English) Zbl 1195.11098

An elementary proof of a theorem of Delange. (English) Zbl 1085.11048

The logarithmic frequency of values of additive functions. (English. Russian original) Zbl 1027.11057

Investigations in the theory of \(q\)-additive and \(q\)-multiplicative functions. II. (English) Zbl 1012.11008

Upper bounds for \(|L(1,\chi)|\). (English) Zbl 1022.11041

Probabilistic proof of limit theorems in number theory by means of adeles. (English) Zbl 1137.11330

G. H. Hardy and probability??? (English) Zbl 1029.01016

On multiplicative functions with mean-value one on the set of shifted primes. (English) Zbl 1039.11050

On the amount of dependence in the prime factorization of a uniform random integer. (English) Zbl 1126.11331

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