Berger, Arno; Rahmatidehkordi, Ardalan Circling the uniform distribution. (English) Zbl 1522.11079 J. Math. Anal. Appl. 527, No. 2, Article ID 127495, 33 p. (2023). MSC: 11K06 60B10 11K38 11N05 11K31 PDFBibTeX XMLCite \textit{A. Berger} and \textit{A. Rahmatidehkordi}, J. Math. Anal. Appl. 527, No. 2, Article ID 127495, 33 p. (2023; Zbl 1522.11079) Full Text: DOI
Bufalo, Daniele; Bufalo, Michele; Iavernaro, Felice A probabilistic approach to the twin prime and cousin prime conjectures. arXiv:2303.17998 Preprint, arXiv:2303.17998 [math.NT] (2023). MSC: 11A41 11Y11 60C05 11N05 BibTeX Cite \textit{D. Bufalo} et al., ``A probabilistic approach to the twin prime and cousin prime conjectures'', Preprint, arXiv:2303.17998 [math.NT] (2023) Full Text: arXiv OA License
Thomas, Andrew M. The VC-dimension of a class of multiples of the primes and a connection to AdaBoost. (English) Zbl 07790956 Online J. Anal. Comb. 17, Article 5, 9 p. (2022). MSC: 11N05 11B25 68Q32 60F15 PDFBibTeX XMLCite \textit{A. M. Thomas}, Online J. Anal. Comb. 17, Article 5, 9 p. (2022; Zbl 07790956) Full Text: arXiv Link
El-Baz, Daniel; Loughran, Daniel; Sofos, Efthymios Multivariate normal distribution for integral points on varieties. (English) Zbl 1519.11050 Trans. Am. Math. Soc. 375, No. 5, 3089-3128 (2022). Reviewer: Ke Gong (Kaifeng) MSC: 11N32 11G35 60F05 11N36 11N60 14G05 11K65 PDFBibTeX XMLCite \textit{D. El-Baz} et al., Trans. Am. Math. Soc. 375, No. 5, 3089--3128 (2022; Zbl 1519.11050) Full Text: DOI arXiv
Lin, Jiawei; Martin, Greg Densities in certain three-way prime number races. (English) Zbl 1497.11235 Can. J. Math. 74, No. 1, 232-265 (2022). MSC: 11N13 11M26 11K99 60F05 20E07 PDFBibTeX XMLCite \textit{J. Lin} and \textit{G. Martin}, Can. J. Math. 74, No. 1, 232--265 (2022; Zbl 1497.11235) Full Text: DOI arXiv
Abdel-Mageed, M.; Salim, Ahmed; Osamy, Walid; Khedr, Ahmed M. A study on the statistical properties of the prime numbers using the classical and superstatistical random matrix theories. (English) Zbl 1475.11163 Adv. Math. Phys. 2021, Article ID 9956518, 17 p. (2021). MSC: 11N05 60B20 PDFBibTeX XMLCite \textit{M. Abdel-Mageed} et al., Adv. Math. Phys. 2021, Article ID 9956518, 17 p. (2021; Zbl 1475.11163) Full Text: DOI
Arató, M.; Katona, Gy. O. H.; Michaletzky, Gy.; Móri, T. F.; Pintz, J.; Rudas, T.; Székely, G. J.; Tusnády, G. Rényi 100, quantitative and qualitative (in)dependence. (English) Zbl 1499.60006 Acta Math. Hung. 165, No. 1, 218-273 (2021). MSC: 60A05 05D05 11N05 60E05 62H15 62H17 62H20 PDFBibTeX XMLCite \textit{M. Arató} et al., Acta Math. Hung. 165, No. 1, 218--273 (2021; Zbl 1499.60006) Full Text: DOI
Molchanov, Stanislav A.; Panov, Vladimir A. The Dickman-Goncharov distribution. (English. Russian original) Zbl 1473.60009 Russ. Math. Surv. 75, No. 6, 1089-1132 (2020); translation from Usp. Mat. Nauk 75, No. 6, 107-152 (2020). Reviewer: Arakaparampil M. Mathai (Montréal) MSC: 60B10 60E07 60G50 62E15 11A41 34A05 PDFBibTeX XMLCite \textit{S. A. Molchanov} and \textit{V. A. Panov}, Russ. Math. Surv. 75, No. 6, 1089--1132 (2020; Zbl 1473.60009); translation from Usp. Mat. Nauk 75, No. 6, 107--152 (2020) Full Text: DOI
Barhoumi-Andréani, Yacine A penalised model reproducing the mod-Poisson fluctuations in the Sathé-Selberg theorem. (English) Zbl 1455.11113 J. Theor. Probab. 33, No. 2, 567-589 (2020). Reviewer: David Joyner (Annapolis) MSC: 11K65 60E10 60E05 60F05 60G50 11K99 PDFBibTeX XMLCite \textit{Y. Barhoumi-Andréani}, J. Theor. Probab. 33, No. 2, 567--589 (2020; Zbl 1455.11113) Full Text: DOI arXiv
Martin, Greg; Ng, Nathan Inclusive prime number races. (English) Zbl 1469.11372 Trans. Am. Math. Soc. 373, No. 5, 3561-3607 (2020). Reviewer: Kaisa Matomäki (Turku) MSC: 11N13 11M26 11K99 60F05 11J71 PDFBibTeX XMLCite \textit{G. Martin} and \textit{N. Ng}, Trans. Am. Math. Soc. 373, No. 5, 3561--3607 (2020; Zbl 1469.11372) Full Text: DOI arXiv
Lemke Oliver, Robert J.; Soundararajan, Kannan The distribution of consecutive prime biases and sums of sawtooth random variables. (English) Zbl 1466.11063 Math. Proc. Camb. Philos. Soc. 168, No. 1, 149-169 (2020). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N13 11F20 11N69 11P32 60F05 PDFBibTeX XMLCite \textit{R. J. Lemke Oliver} and \textit{K. Soundararajan}, Math. Proc. Camb. Philos. Soc. 168, No. 1, 149--169 (2020; Zbl 1466.11063) Full Text: DOI arXiv
Huang, Bingrong; Rudnick, Zeév Prime lattice points in ovals. (English) Zbl 1448.11178 Monatsh. Math. 189, No. 2, 295-319 (2019). MSC: 11P21 11N05 11K70 60D05 62E20 PDFBibTeX XMLCite \textit{B. Huang} and \textit{Z. Rudnick}, Monatsh. Math. 189, No. 2, 295--319 (2019; Zbl 1448.11178) Full Text: DOI arXiv
Abdymanapov, Sarsengali; Altynbek, Serik; Turginbayeva, Alua Calculating the number of twin primes with specified distance between them based on the simplest probabilistic model. (English) Zbl 1424.11136 Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 80, No. 2, 183-190 (2018). MSC: 11N05 11T71 60A05 PDFBibTeX XMLCite \textit{S. Abdymanapov} et al., Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 80, No. 2, 183--190 (2018; Zbl 1424.11136)
Harper, Adam J.; Lamzouri, Youness Orderings of weakly correlated random variables, and prime number races with many contestants. (English) Zbl 1445.11096 Probab. Theory Relat. Fields 170, No. 3-4, 961-1010 (2018). MSC: 11N13 11N69 11M26 60G15 PDFBibTeX XMLCite \textit{A. J. Harper} and \textit{Y. Lamzouri}, Probab. Theory Relat. Fields 170, No. 3--4, 961--1010 (2018; Zbl 1445.11096) Full Text: DOI arXiv
Chen, Wen; Liang, Yingjie Riemann equation for prime number diffusion. (English) Zbl 1374.60152 Chaos 25, No. 5, 053107, 4 p. (2015). MSC: 60J60 11N05 PDFBibTeX XMLCite \textit{W. Chen} and \textit{Y. Liang}, Chaos 25, No. 5, 053107, 4 p. (2015; Zbl 1374.60152) Full Text: DOI
Wahl, Martin On the mod-Gaussian convergence of a sum over primes. (English) Zbl 1305.11075 Math. Z. 276, No. 3-4, 635-654 (2014). Reviewer: Yong-Gao Chen (Nanjing) MSC: 11M06 11N05 60F05 60F10 PDFBibTeX XMLCite \textit{M. Wahl}, Math. Z. 276, No. 3--4, 635--654 (2014; Zbl 1305.11075) Full Text: DOI arXiv
Mursaleen, M. Applied summability methods. (English) Zbl 1302.40001 SpringerBriefs in Mathematics. Cham: Springer (ISBN 978-3-319-04608-2/pbk; 978-3-319-04609-9/ebook). x, 124 p. (2014). Reviewer: Jan-David Hardtke (Berlin) MSC: 40-02 40C05 40G15 40D05 40E05 40G05 11N05 42A24 60F15 30B40 30B10 PDFBibTeX XMLCite \textit{M. Mursaleen}, Applied summability methods. Cham: Springer (2014; Zbl 1302.40001) Full Text: DOI
Kourbatov, Alexei The distribution of maximal prime gaps in Cramer’s probabilistic model of primes. arXiv:1401.6959 Preprint, arXiv:1401.6959 [math.NT] (2014). MSC: 11N05 60G70 62E20 BibTeX Cite \textit{A. Kourbatov}, ``The distribution of maximal prime gaps in Cramer's probabilistic model of primes'', Preprint, arXiv:1401.6959 [math.NT] (2014) Full Text: DOI arXiv OA License
Jeong, Seungpil; Lee, Geymin; Kim, Gwangil Statistical and structural analysis of the appearance of prime numbers. (English) Zbl 1296.11119 J. Appl. Math. Comput. 41, No. 1-2, 283-299 (2013). MSC: 11N05 11K65 60B99 PDFBibTeX XMLCite \textit{S. Jeong} et al., J. Appl. Math. Comput. 41, No. 1--2, 283--299 (2013; Zbl 1296.11119) Full Text: DOI
Kourbatov, Alexei Maximal gaps between prime \(k\)-tuples: a statistical approach. (English) Zbl 1285.11114 J. Integer Seq. 16, No. 5, Article 13.5.2, 26 p. (2013). MSC: 11N05 60G70 PDFBibTeX XMLCite \textit{A. Kourbatov}, J. Integer Seq. 16, No. 5, Article 13.5.2, 26 p. (2013; Zbl 1285.11114) Full Text: arXiv EMIS
Hwang, Hsien-Kuei; Janson, Svante Erratum: “A central limit theorem for random ordered factorizations of integers”. (English) Zbl 1282.11135 Electron. J. Probab. 18, Paper No. 16, 3 p. (2013). MSC: 11N80 11N37 11K65 11N60 11M45 60F05 PDFBibTeX XMLCite \textit{H.-K. Hwang} and \textit{S. Janson}, Electron. J. Probab. 18, Paper No. 16, 3 p. (2013; Zbl 1282.11135) Full Text: DOI
Hamza, Kais; Klebaner, Fima On the statistical independence of primes. (English) Zbl 1273.60013 Math. Sci. 37, No. 2, 97-105 (2012). Reviewer: Robert W. van der Waall (Amsterdam) MSC: 60A99 11A41 97K50 PDFBibTeX XMLCite \textit{K. Hamza} and \textit{F. Klebaner}, Math. Sci. 37, No. 2, 97--105 (2012; Zbl 1273.60013)
Indlekofer, Karl-Heinz On labeled and unlabeled combinatorial structures. (English) Zbl 1315.11084 Commun. Stat., Theory Methods 40, No. 19-20, 3641-3653 (2011). MSC: 11N60 05A15 11K65 11N05 20M14 60C05 60E10 PDFBibTeX XMLCite \textit{K.-H. Indlekofer}, Commun. Stat., Theory Methods 40, No. 19--20, 3641--3653 (2011; Zbl 1315.11084) Full Text: DOI
Ford, Kevin; Konyagin, Sergei V.; Luca, Florian Prime chains and Pratt trees. (English) Zbl 1218.11085 Geom. Funct. Anal. 20, No. 5, 1231-1258 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11N05 11N36 60G50 PDFBibTeX XMLCite \textit{K. Ford} et al., Geom. Funct. Anal. 20, No. 5, 1231--1258 (2010; Zbl 1218.11085) Full Text: DOI arXiv
Holdom, B. Scale-invariant correlations and the distribution of prime numbers. (English) Zbl 1283.11132 J. Phys. A, Math. Theor. 42, No. 34, Article ID 345102, 10 p. (2009). MSC: 11N05 11M26 11M50 60G22 PDFBibTeX XMLCite \textit{B. Holdom}, J. Phys. A, Math. Theor. 42, No. 34, Article ID 345102, 10 p. (2009; Zbl 1283.11132) Full Text: DOI arXiv
Drmota, Michael; Mauduit, Christian; Rivat, Joël Primes with an average sum of digits. (English) Zbl 1230.11013 Compos. Math. 145, No. 2, 271-292 (2009). Reviewer: Clemens Heuberger (Klagenfurt) MSC: 11A63 11L03 11N05 11N60 11L20 60F05 PDFBibTeX XMLCite \textit{M. Drmota} et al., Compos. Math. 145, No. 2, 271--292 (2009; Zbl 1230.11013) Full Text: DOI
Daili, N. Some projections of number-theoretic functions. (English) Zbl 1195.11099 Adv. Appl. Discrete Math. 2, No. 1, 35-44 (2008). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11K65 11N05 60A10 PDFBibTeX XMLCite \textit{N. Daili}, Adv. Appl. Discrete Math. 2, No. 1, 35--44 (2008; Zbl 1195.11099) Full Text: Link
Arbieto, Alexander; Matheus, Carlos; Moreira, Carlos Gustavo Ergodic aspects of number theory. Paper from the 26th Brazilian Mathematics Colloquium – Colóquio Brasileiro de Matemática, Rio de Janeiro, Brazil, July 29–August 3, 2007. (Aspectos ergódicos da teoria dos números.) (English) Zbl 1168.11040 Publicações Matemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (ISBN 978-85-244-0250-0/pbk). ii, 124 p., open access (2007). Reviewer: Peter Bundschuh (Köln) MSC: 11N05 28D99 37A45 60G57 PDFBibTeX XMLCite \textit{A. Arbieto} et al., Aspectos ergódicos da teoria dos números. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (2007; Zbl 1168.11040) Full Text: Link
Lorch, John A generalized Hawkins sieve and prime \(k\)-tuplets. (English) Zbl 1211.11105 Rocky Mt. J. Math. 37, No. 2, 533-550 (2007). Reviewer: Andrew Ledoan (Boston College) MSC: 11N35 11N05 11K65 60F15 60G35 PDFBibTeX XMLCite \textit{J. Lorch}, Rocky Mt. J. Math. 37, No. 2, 533--550 (2007; Zbl 1211.11105) Full Text: DOI Euclid
Zhang, Wen-Bin Probabilistic number theory in additive arithmetic semigroups. II. (English) Zbl 1043.11062 Math. Z. 235, No. 4, 747-816 (2000). MSC: 11K65 11N60 11N80 11T55 60F05 11N37 PDFBibTeX XMLCite \textit{W.-B. Zhang}, Math. Z. 235, No. 4, 747--816 (2000; Zbl 1043.11062) Full Text: DOI
Vardi, Ilan Prime percolation. (English) Zbl 0926.11065 Exp. Math. 7, No. 3, 275-289 (1998). Reviewer: M.Baake (Tübingen) MSC: 11N05 82B43 11K99 60K35 PDFBibTeX XMLCite \textit{I. Vardi}, Exp. Math. 7, No. 3, 275--289 (1998; Zbl 0926.11065) Full Text: DOI EuDML EMIS
Hwang, Hsien-Kuei Large deviations for combinatorial distributions. I: Central limit theorems. (English) Zbl 0863.60013 Ann. Appl. Probab. 6, No. 1, 297-319 (1996). MSC: 60C05 60F10 05A16 11N05 11N37 PDFBibTeX XMLCite \textit{H.-K. Hwang}, Ann. Appl. Probab. 6, No. 1, 297--319 (1996; Zbl 0863.60013) Full Text: DOI
Boyd, David W. A \(p\)-adic study of the partial sums of the harmonic series. (English) Zbl 0838.11015 Exp. Math. 3, No. 4, 287-302 (1994). Reviewer: József Sándor (Jud.Harghita) MSC: 11B39 11K99 60J80 PDFBibTeX XMLCite \textit{D. W. Boyd}, Exp. Math. 3, No. 4, 287--302 (1994; Zbl 0838.11015) Full Text: DOI EuDML EMIS
Hensley, Douglas The convolution powers of the Dickman function. (English) Zbl 0565.10041 J. Lond. Math. Soc., II. Ser. 33, 395-406 (1986). Reviewer: D. Hensley MSC: 11N05 11N37 60E07 PDFBibTeX XMLCite \textit{D. Hensley}, J. Lond. Math. Soc., II. Ser. 33, 395--406 (1986; Zbl 0565.10041) Full Text: DOI
Benedetti, Carlo La congettura di Goldbach come un problema di correlazione. (Italian) Zbl 0445.10038 Metron 35, No. 3-4, 205-241 (1977). MSC: 11P32 11B83 62P99 60K99 11K99 PDFBibTeX XMLCite \textit{C. Benedetti}, Metron 35, No. 3--4, 205--241 (1977; Zbl 0445.10038)
Billingsley, Patrick Prime numbers and Brownian motion. (Polish) Zbl 0353.10007 Rocz. Pol. Tow. Mat., Ser. II, Wiadom. Mat. 20, 35-53 (1976). MSC: 11A41 11K99 60J60 60G50 PDFBibTeX XMLCite \textit{P. Billingsley}, Rocz. Pol. Tow. Mat., Ser. II, Wiad. Mat. 20, 35--53 (1976; Zbl 0353.10007)
Wunderlich, M. C. The prime number theorem for random sequences. (English) Zbl 0341.10036 J. Number Theory 8, 369-371 (1976). MSC: 11N05 11K99 60F15 PDFBibTeX XMLCite \textit{M. C. Wunderlich}, J. Number Theory 8, 369--371 (1976; Zbl 0341.10036) Full Text: DOI
Zuparov, T. M.; Ismatullaev, S. An additive problem with an increasing number of prime summands. (English. Russian original) Zbl 0334.10023 Lith. Math. Trans. 14(1974), 591-597 (1975); translation from Litov. Mat. Sb./Lietuv. Mat. Rink. 14, No. 4, 79-87 (1974). MSC: 11P32 11D04 11K99 60F05 60H99 PDFBibTeX XMLCite \textit{T. M. Zuparov} and \textit{S. Ismatullaev}, Lith. Math. Trans. 14, 591--597 (1974; Zbl 0334.10023); translation from Litov. Mat. Sb./Lietuv. Mat. Rink. 14, No. 4, 79--87 (1974)
Greger, Karl Random sieves and the prime number theorem. (Swedish) Zbl 0281.10004 Nordisk Mat. Tidskr. 21, 57-66, 127 (1973). Reviewer: Olaf Ninnemann (Berlin) MSC: 11A41 11K99 11N05 60G99 PDFBibTeX XMLCite \textit{K. Greger}, Nordisk Mat. Tidskr. 21, 57--66, 127 (1973; Zbl 0281.10004)
Billingsley, Patrick Prime numbers and Brownian motion. (English) Zbl 0275.10029 Am. Math. Mon. 80, 1099-1115 (1973). MSC: 11A41 11K99 60J60 60G50 PDFBibTeX XMLCite \textit{P. Billingsley}, Am. Math. Mon. 80, 1099--1115 (1973; Zbl 0275.10029) Full Text: DOI
Linnik, Yu. V. Five lectures on some topics in number theory and probability theory. (Russian) Zbl 0103.02804 Publ. Math. Inst. Hung. Acad. Sci. 3, 225-258 (1959). Reviewer: A. Rényi MSC: 11-02 11P99 11P32 11P21 11K65 60E05 PDFBibTeX XMLCite \textit{Yu. V. Linnik}, Publ. Math. Inst. Hung. Acad. Sci. 3, 225--258 (1959; Zbl 0103.02804)