Šiaulys, Jonas; Stepanauskas, Gediminas; Žvinytė, Laura Discrete uniform limit law for a sum of additive functions on shifted primes. (English) Zbl 1435.11103 Lith. Math. J. 58, No. 2, 235-248 (2018). Reviewer: Jean-Marc Deshouillers (Bordeaux) MSC: 11K65 11N37 PDFBibTeX XMLCite \textit{J. Šiaulys} et al., Lith. Math. J. 58, No. 2, 235--248 (2018; Zbl 1435.11103) Full Text: DOI
Šiaulys, Jonas; Stepanauskas, Gediminas Discrete limit laws generated by large prime numbers. (English) Zbl 1439.11257 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. 185-195 (2017). MSC: 11N37 11K65 PDFBibTeX XMLCite \textit{J. Šiaulys} and \textit{G. Stepanauskas}, 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. 185--195 (2017; Zbl 1439.11257)
Stepanauskas, Gediminas; Žvinytė, Laura Discrete uniform distribution for a sum of additive functions. (English) Zbl 1373.11058 Lith. Math. J. 57, No. 3, 391-400 (2017). MSC: 11K65 11N60 PDFBibTeX XMLCite \textit{G. Stepanauskas} and \textit{L. Žvinytė}, Lith. Math. J. 57, No. 3, 391--400 (2017; Zbl 1373.11058) Full Text: DOI
Stepanauskas, Gediminas; Žvinytė, Laura Discrete uniform limit law for additive functions on shifted primes. (English) Zbl 1418.11114 Nonlinear Anal., Model. Control 21, No. 4, 437-447 (2016). MSC: 11K65 11N37 PDFBibTeX XMLCite \textit{G. Stepanauskas} and \textit{L. Žvinytė}, Nonlinear Anal., Model. Control 21, No. 4, 437--447 (2016; Zbl 1418.11114) Full Text: DOI
Šiaulys, Jonas; Stepanauskas, Gediminas Discrete uniform limit law for additive prime number indicators. (English) Zbl 1365.11112 Laurinčikas, A. (ed.) et al., Analytic and probabilistic methods in number theory. Proceedings of the 5th international conference in honour of J. Kubilius, Palanga, Lithuania, September 4–10, 2011. Vilnius: TEV (ISBN 978-609-433-178-7/hbk). 255-263 (2012). MSC: 11N60 11K65 PDFBibTeX XMLCite \textit{J. Šiaulys} and \textit{G. Stepanauskas}, in: Analytic and probabilistic methods in number theory. Proceedings of the 5th international conference in honour of J. Kubilius, Palanga, Lithuania, September 4--10, 2011. Vilnius: TEV. 255--263 (2012; Zbl 1365.11112)
Šiaulys, Jonas; Stepanauskas, Gediminas Binomial limit law for additive prime indicators. (English) Zbl 1282.11098 Lith. Math. J. 51, No. 4, 562-572 (2011). MSC: 11K65 PDFBibTeX XMLCite \textit{J. Šiaulys} and \textit{G. Stepanauskas}, Lith. Math. J. 51, No. 4, 562--572 (2011; Zbl 1282.11098) Full Text: DOI
Šiaulys, Jonas; Stepanauskas, Gediminas Some limit laws for strongly additive prime indicators. (English) Zbl 1163.11058 Šiauliai Math. Semin. 3(11), 235-246 (2008). Reviewer: Jürgen Spilker (Freiburg i. Br.) MSC: 11K65 PDFBibTeX XMLCite \textit{J. Šiaulys} and \textit{G. Stepanauskas}, Šiauliai Math. Semin. 3(11), 235--246 (2008; Zbl 1163.11058)
Šiaulys, J.; Stepanauskas, G. Poisson distribution for a sum of additive functions on arithmetic progressions. (English) Zbl 1164.11036 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 29, 199-212 (2008). MSC: 11K65 11N60 PDFBibTeX XMLCite \textit{J. Šiaulys} and \textit{G. Stepanauskas}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 29, 199--212 (2008; Zbl 1164.11036)
Šiaulys, J.; Stepanauskas, G. The Poisson law for additive functions on shifted primes. (English) Zbl 1148.11037 Laurinčikas, A. (ed.) et al., Analytic and probabilistic methods in number theory. Proceedings of the 4th international conference in honour of J. Kubilius, Palanga, Lithuania, September 25–29, 2006. Vilnius: TEV (ISBN 978-9955-680-81-9/hbk). 204-212 (2007). Reviewer: Jürgen Spilker (Freiburg i. Br.) MSC: 11K65 11N37 PDFBibTeX XMLCite \textit{J. Šiaulys} and \textit{G. Stepanauskas}, in: Analytic and probabilistic methods in number theory. Proceedings of the 4th international conference in honour of J. Kubilius, Palanga, Lithuania, September 25--29, 2006. Vilnius: TEV. 204--212 (2007; Zbl 1148.11037)
Šiaulys, Jonas; Stepanauskas, Gediminas Poisson distribution for a sum of additive functions on shifted primes. (English) Zbl 1135.11041 Acta Arith. 130, No. 4, 403-414 (2007). Reviewer: Jürgen Spilker (Freiburg i. Br.) MSC: 11K65 11N60 PDFBibTeX XMLCite \textit{J. Šiaulys} and \textit{G. Stepanauskas}, Acta Arith. 130, No. 4, 403--414 (2007; Zbl 1135.11041) Full Text: DOI
Šiaulys, Jonas; Stepanauskas, Gediminas On the mean value of the product of multiplicative functions with shifted argument. (English) Zbl 1121.11064 Monatsh. Math. 150, No. 4, 343-351 (2007). Reviewer: Wolfgang Schwarz (Frankfurt / Main) MSC: 11N37 PDFBibTeX XMLCite \textit{J. Šiaulys} and \textit{G. Stepanauskas}, Monatsh. Math. 150, No. 4, 343--351 (2007; Zbl 1121.11064) Full Text: DOI
Šiaulys, Jonas; Stepanauskas, Gediminas Poisson distribution for a sum of additive functions. (English) Zbl 1194.11084 Acta Appl. Math. 97, No. 1-3, 269-279 (2007). Reviewer: Wolfgang Schwarz (Frankfurt / Main) MSC: 11K65 11N37 PDFBibTeX XMLCite \textit{J. Šiaulys} and \textit{G. Stepanauskas}, Acta Appl. Math. 97, No. 1--3, 269--279 (2007; Zbl 1194.11084) Full Text: DOI
Šiaulys, J.; Stepanauskas, G. The factorial moments of additive functions with rational argument. (English) Zbl 1116.11062 J. Aust. Math. Soc. 81, No. 3, 425-440 (2006). Reviewer: Jürgen Spilker (Freiburg i. Br.) MSC: 11K65 11N37 11N64 11N60 PDFBibTeX XMLCite \textit{J. Šiaulys} and \textit{G. Stepanauskas}, J. Aust. Math. Soc. 81, No. 3, 425--440 (2006; Zbl 1116.11062) Full Text: DOI
Šiaulys, J.; Stepanauskas, G. Kubilius-type sequences of additive functions. (English. Russian original) Zbl 1106.11030 Lith. Math. J. 45, No. 2, 225-234 (2005); translation from Liet. Mat. Rink. 45, No. 2, 270-281 (2005). Reviewer: Imre Z. Ruzsa (Budapest) MSC: 11K65 11N60 PDFBibTeX XMLCite \textit{J. Šiaulys} and \textit{G. Stepanauskas}, Lith. Math. J. 45, No. 2, 225--234 (2005; Zbl 1106.11030); translation from Liet. Mat. Rink. 45, No. 2, 270--281 (2005) Full Text: DOI
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 PDFBibTeX XMLCite \textit{G. Stepanauskas}, in: 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. 272--281 (2002; Zbl 1102.11053)
Stepanauskas, G. A note on the Liouville function. (English) Zbl 1109.11319 Sali, A. (ed.) et al., Paul Erdős and his mathematics. Papers from the international conference held in memory of Paul Erdős in Budapest, Hungary, July 4–11, 1999. Budapest: János Bolyai Mathematical Society (ISBN 963-8022-93-0). 245-248 (1999). MSC: 11N37 PDFBibTeX XMLCite \textit{G. Stepanauskas}, in: Paul Erdős and his mathematics. Papers from the international conference held in memory of Paul Erdős in Budapest, Hungary, July 4--11, 1999. Budapest: János Bolyai Mathematical Society. 245--248 (1999; Zbl 1109.11319)
Stepanauskas, G. The mean values of multiplicative functions. I. (English) Zbl 0977.11041 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 18, 175-186 (1999). Reviewer: Ferenc Mátyás (Eger) MSC: 11N37 11N60 11K65 PDFBibTeX XMLCite \textit{G. Stepanauskas}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 18, 175--186 (1999; Zbl 0977.11041)
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)
Stepanauskas, G. Mean values of multiplicative functions on shifted numbers. (English. Russian original) Zbl 0932.11059 Lith. Math. J. 37, No. 4, 443-451 (1997); translation from Liet. Mat. Rink. 37, No. 4, 588-599 (1997). Reviewer: I.Z.Ruzsa (Budapest) MSC: 11N37 11K65 PDFBibTeX XMLCite \textit{G. Stepanauskas}, Lith. Math. J. 37, No. 4, 443--451 (1997; Zbl 0932.11059); translation from Liet. Mat. Rink. 37, No. 4, 588--599 (1997) Full Text: DOI
Stepanauskas, Gediminas The mean values of multiplicative functions. III. (English) Zbl 0977.11043 Laurinčikas, A. (ed.) et al., Analytic and probabilistic methods in number theory. Proceedings of the 2nd international conference in honour of J. Kubilius, Palanga, Lithuania, September 23-27, 1996. Utrecht: VSP. New Trends Probab. Stat. 4, 371-387 (1997). Reviewer: A.Zaccagnini (Parma) MSC: 11N37 11N64 11N60 11K65 PDFBibTeX XMLCite \textit{G. Stepanauskas}, New Trends Probab. Stat. 4, 371--387 (1997; Zbl 0977.11043)
Stepanauskas, G. The mean values of multiplicative functions. II. (English. Russian original) Zbl 0892.11030 Lith. Math. J. 37, No. 2, 162-170 (1997); translation from Liet. Mat. Rink. 37, No. 2, 212-223 (1997). Reviewer: I.Z.Ruzsa (Budapest) MSC: 11N37 11K65 PDFBibTeX XMLCite \textit{G. Stepanauskas}, Lith. Math. J. 37, No. 2, 162--170 (1997; Zbl 0892.11030); translation from Liet. Mat. Rink. 37, No. 2, 212--223 (1997) Full Text: DOI
Stepanauskas, G. The local behaviour of some additive functions. (English) Zbl 0807.11046 Acta Math. Hung. 62, No. 3-4, 363-371 (1993). Reviewer: A.Hildebrand (Urbana) MSC: 11N37 11K65 PDFBibTeX XMLCite \textit{G. Stepanauskas}, Acta Math. Hung. 62, No. 3--4, 363--371 (1993; Zbl 0807.11046) Full Text: DOI
Stepanauskas, G. The multidimensional local theorem for additive arithmetic functions. (English) Zbl 0778.11045 Analytic and probabilistic methods in number theory. Proc. Int. Conf. in Honour of J. Kubilius, Palanga/Lith. 1991, New Trends Probab. Stat. 2, 285-291 (1992). Reviewer: Wolfgang Schwarz (Frankfurt / Main) MSC: 11K65 11N37 PDFBibTeX XMLCite \textit{G. Stepanauskas}, New Trends Probab. Stat. 2, 285--291 (1992; Zbl 0778.11045)
Stepanauskas, G. The local behavior of some multiplicative functions. (English) Zbl 0752.11040 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 34, 81-91 (1991). Reviewer: I.Z.Ruzsa (Budapest) MSC: 11N37 11K65 PDFBibTeX XMLCite \textit{G. Stepanauskas}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 34, 81--91 (1991; Zbl 0752.11040)
Stepanauskas, G. The local theorems for additive arithmetic functions. (English) Zbl 0732.11038 Probability theory and mathematical statistics, Proc. 5th Vilnius Conf., Vilnius/Lith. 1989, Vol. II, 460-465 (1990). Reviewer: I.Z.Ruzsa (Budapest) MSC: 11K65 11N37 PDFBibTeX XML
Styapanauskas, G. Remark on a theorem of G. Halász. (English) Zbl 0643.10036 Lith. Math. J. 27, No. 2, 159-163 (1987). MSC: 11N37 11K65 PDFBibTeX XMLCite \textit{G. Styapanauskas}, Lith. Math. J. 27, No. 2, 159--163 (1987; Zbl 0643.10036) Full Text: DOI
Stepanauskas, G. Remark on a theorem of G. Halász. (Russian. English summary) Zbl 0634.10039 Lit. Mat. Sb. 27, No. 2, 357-361 (1987). Reviewer: Adolf Hildebrand (Urbana) MSC: 11N37 11K65 PDFBibTeX XMLCite \textit{G. Stepanauskas}, Litov. Mat. Sb. 27, No. 2, 357--361 (1987; Zbl 0634.10039)
Styapanauskas, G. Local distribution law for additive functions on an arithmetic progression. (English. Russian original) Zbl 0649.10049 Lith. Math. J. 26, No. 4, 383-389 (1986); translation from Lit. Mat. Sb. 26, No. 4, 768-777 (1986). Reviewer: Imre Z. Ruzsa (Budapest) MSC: 11K65 11N64 PDFBibTeX XMLCite \textit{G. Styapanauskas}, Lith. Math. J. 26, 383--389 (1986; Zbl 0649.10049); translation from Lit. Mat. Sb. 26, No. 4, 768--777 (1986) Full Text: DOI
Styapanauskas, G. Local theorem of large deviations for additive functions. (Russian) Zbl 0527.10043 Litov. Mat. Sb. 22, No. 3, 170-184 (1982). MSC: 11K65 11N37 PDFBibTeX XMLCite \textit{G. Styapanauskas}, Litov. Mat. Sb. 22, No. 3, 170--184 (1982; Zbl 0527.10043)
Styapanauskas, G. Local limit theorem for a class of arithmetic functions. (English) Zbl 0454.10031 Lith. Math. J. 20, 165-175 (1981). MSC: 11K65 PDFBibTeX XMLCite \textit{G. Styapanauskas}, Lith. Math. J. 20, 165--175 (1981; Zbl 0454.10031) Full Text: DOI
Styapanauskas, G. Ein lokaler Grenzwertsatz für eine Klasse arithmetischer Funktionen. (Russian) Zbl 0437.10029 Litov. Mat. Sb. 20, No. 2, 159-174 (1980). MSC: 11K65 PDFBibTeX XMLCite \textit{G. Styapanauskas}, Litov. Mat. Sb. 20, No. 2, 159--174 (1980; Zbl 0437.10029)
Stepanauskas, G. Distribution of additive functions on arithmetic progressions. (English) Zbl 0433.10036 Lith. Math. J. 19, 552-561 (1980). MSC: 11K65 11N13 11N37 PDFBibTeX XMLCite \textit{G. Stepanauskas}, Lith. Math. J. 19, 552--561 (1980; Zbl 0433.10036) Full Text: DOI
Styapanauskas, G. On the distribution of additive arithmetic functions over an arithmetic progression. (Russian) Zbl 0425.10055 Litov. Mat. Sb. 19, No. 4, 175-190 (1979). MSC: 11K65 11N13 11N37 PDFBibTeX XMLCite \textit{G. Styapanauskas}, Litov. Mat. Sb. 19, No. 4, 175--190 (1979; Zbl 0425.10055)