Matomäki, Kaisa On primes, almost primes, and the Möbius function in short intervals. (English) Zbl 07763406 Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 569-583 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11M06 11N05 11N25 PDFBibTeX XMLCite \textit{K. Matomäki}, in: European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20--26, 2021. Berlin: European Mathematical Society (EMS). 569--583 (2023; Zbl 07763406) Full Text: DOI
Banks, William; Ford, Kevin; Tao, Terence Large prime gaps and probabilistic models. (English) Zbl 07724116 Invent. Math. 233, No. 3, 1471-1518 (2023). Reviewer: Kübra Benli (Lethbridge) MSC: 11N05 11B83 PDFBibTeX XMLCite \textit{W. Banks} et al., Invent. Math. 233, No. 3, 1471--1518 (2023; Zbl 07724116) Full Text: DOI arXiv
Granville, Andrew; Lumley, Allysa Primes in short intervals: heuristics and calculations. (English) Zbl 07708950 Exp. Math. 32, No. 2, 378-404 (2023). MSC: 68-XX 03-XX PDFBibTeX XMLCite \textit{A. Granville} and \textit{A. Lumley}, Exp. Math. 32, No. 2, 378--404 (2023; Zbl 07708950) Full Text: DOI arXiv
Nevo, Eran Embedding divisor and semi-prime testability in \(f\)-vectors of polytopes. (English) Zbl 1516.52012 Discrete Comput. Geom. 70, No. 1, 297-303 (2023). MSC: 52B05 PDFBibTeX XMLCite \textit{E. Nevo}, Discrete Comput. Geom. 70, No. 1, 297--303 (2023; Zbl 1516.52012) Full Text: DOI arXiv
Aougab, Tarik; Gaster, Jonah Curves on the torus intersecting at most \(k\) times. (English) Zbl 07676332 Math. Proc. Camb. Philos. Soc. 174, No. 3, 569-584 (2023). MSC: 57M15 05D99 PDFBibTeX XMLCite \textit{T. Aougab} and \textit{J. Gaster}, Math. Proc. Camb. Philos. Soc. 174, No. 3, 569--584 (2023; Zbl 07676332) Full Text: DOI arXiv
Kim, Jaeyoon Prime running functions. (English) Zbl 07628934 Exp. Math. 31, No. 4, 1291-1313 (2022). MSC: 62-XX 11-XX PDFBibTeX XMLCite \textit{J. Kim}, Exp. Math. 31, No. 4, 1291--1313 (2022; Zbl 07628934) Full Text: DOI arXiv
Kosyak, Alexandre; Moree, Pieter; Sofos, Efthymios; Zhang, Bin Cyclotomic polynomials with prescribed height and prime number theory. (English) Zbl 1527.11023 Mathematika 67, No. 1, 214-234 (2021). MSC: 11C08 11B83 PDFBibTeX XMLCite \textit{A. Kosyak} et al., Mathematika 67, No. 1, 214--234 (2021; Zbl 1527.11023) Full Text: DOI arXiv OA License
Šikić, Zvonimir On nondeductive mathematics. (English) Zbl 1515.11088 Math. Intell. 43, No. 3, 35-39 (2021). MSC: 11N05 00A30 03A05 PDFBibTeX XMLCite \textit{Z. Šikić}, Math. Intell. 43, No. 3, 35--39 (2021; Zbl 1515.11088) 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
Lozano-Robledo, Álvaro A probabilistic model for the distribution of ranks of elliptic curves over \(\mathbb{Q}\). (English) Zbl 1469.11172 J. Number Theory 221, 270-338 (2021). MSC: 11G05 14H52 PDFBibTeX XMLCite \textit{Á. Lozano-Robledo}, J. Number Theory 221, 270--338 (2021; Zbl 1469.11172) Full Text: DOI arXiv
Ibrahim, Mohammed Ali Faya; Alqarni, Alwah Saleh Ahmad Density and distribution of primes. (English) Zbl 1499.11025 JP J. Algebra Number Theory Appl. 48, No. 1, 49-66 (2020). MSC: 11A41 11Y99 PDFBibTeX XMLCite \textit{M. A. F. Ibrahim} and \textit{A. S. A. Alqarni}, JP J. Algebra Number Theory Appl. 48, No. 1, 49--66 (2020; Zbl 1499.11025) Full Text: DOI
Casacuberta, Sílvia On the divisibility of binomial coefficients. (English) Zbl 1469.11029 Ars Math. Contemp. 19, No. 2, 297-309 (2020). Reviewer: Antonio M. Oller Marcén (Zaragoza) MSC: 11B65 05A10 PDFBibTeX XMLCite \textit{S. Casacuberta}, Ars Math. Contemp. 19, No. 2, 297--309 (2020; Zbl 1469.11029) Full Text: DOI arXiv
Marschner, Ian C. Random ordering of semiprimes. (English) Zbl 1469.11367 Exp. Math. 29, No. 4, 383-397 (2020). MSC: 11N05 11N25 11B05 PDFBibTeX XMLCite \textit{I. C. Marschner}, Exp. Math. 29, No. 4, 383--397 (2020; Zbl 1469.11367) Full Text: DOI
Seip, Kristian Universality and distribution of zeros and poles of some zeta functions. (English) Zbl 1456.11171 J. Anal. Math. 141, No. 1, 331-381 (2020). MSC: 11M41 11M06 PDFBibTeX XMLCite \textit{K. Seip}, J. Anal. Math. 141, No. 1, 331--381 (2020; Zbl 1456.11171) Full Text: DOI arXiv
Aletheia-Zomlefer, Soren Laing; Fukshansky, Lenny; Garcia, Stephan Ramon The Bateman-Horn conjecture: heuristic, history, and applications. (English) Zbl 1471.11247 Expo. Math. 38, No. 4, 430-479 (2020). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N32 11N05 11N13 PDFBibTeX XMLCite \textit{S. L. Aletheia-Zomlefer} et al., Expo. Math. 38, No. 4, 430--479 (2020; Zbl 1471.11247) Full Text: DOI arXiv
Kourbatov, Alexei; Wolf, Marek On the first occurrences of gaps between primes in a residue class. (English) Zbl 1444.11191 J. Integer Seq. 23, No. 9, Article 20.9.3, 24 p. (2020). MSC: 11N05 11N56 11N64 PDFBibTeX XMLCite \textit{A. Kourbatov} and \textit{M. Wolf}, J. Integer Seq. 23, No. 9, Article 20.9.3, 24 p. (2020; Zbl 1444.11191) Full Text: arXiv Link
Táfula, Christian An elementary heuristic for Hardy-Littlewood extended Goldbach’s conjecture. (English) Zbl 1434.11209 São Paulo J. Math. Sci. 14, No. 1, 391-405 (2020). MSC: 11P32 PDFBibTeX XMLCite \textit{C. Táfula}, São Paulo J. Math. Sci. 14, No. 1, 391--405 (2020; Zbl 1434.11209) Full Text: DOI arXiv
Torquato, Salvatore; Zhang, Ge; De Courcy-Ireland, Matthew Hidden multiscale order in the primes. (English) Zbl 1507.11085 J. Phys. A, Math. Theor. 52, No. 13, Article ID 135002, 33 p. (2019). MSC: 11N05 11A41 11N13 11Y11 11M26 PDFBibTeX XMLCite \textit{S. Torquato} et al., J. Phys. A, Math. Theor. 52, No. 13, Article ID 135002, 33 p. (2019; Zbl 1507.11085) Full Text: DOI arXiv
Ferreira, Luan Alberto; Mariano, Hugo Luiz Prime gaps and the Firoozbakht conjecture. (English) Zbl 1459.11015 São Paulo J. Math. Sci. 13, No. 2, 652-662 (2019). MSC: 11A41 11N05 PDFBibTeX XMLCite \textit{L. A. Ferreira} and \textit{H. L. Mariano}, São Paulo J. Math. Sci. 13, No. 2, 652--662 (2019; Zbl 1459.11015) Full Text: DOI
Park, Jennifer; Poonen, Bjorn; Voight, John; Wood, Melanie Matchett A heuristic for boundedness of ranks of elliptic curves. (English) Zbl 1469.11173 J. Eur. Math. Soc. (JEMS) 21, No. 9, 2859-2903 (2019). MSC: 11G05 11G40 11P21 14G25 PDFBibTeX XMLCite \textit{J. Park} et al., J. Eur. Math. Soc. (JEMS) 21, No. 9, 2859--2903 (2019; Zbl 1469.11173) Full Text: DOI arXiv
Barak, Boaz; Hopkins, Samuel; Kelner, Jonathan; Kothari, Pravesh K.; Moitra, Ankur; Potechin, Aaron A nearly tight sum-of-squares lower bound for the planted clique problem. (English) Zbl 1421.68056 SIAM J. Comput. 48, No. 2, 687-735 (2019). MSC: 68Q17 05C69 05C80 68Q25 90C22 PDFBibTeX XMLCite \textit{B. Barak} et al., SIAM J. Comput. 48, No. 2, 687--735 (2019; Zbl 1421.68056) Full Text: DOI arXiv
Torquato, S.; Zhang, G.; de Courcy-Ireland, M. Uncovering multiscale order in the prime numbers via scattering. (English) Zbl 1456.11175 J. Stat. Mech. Theory Exp. 2018, No. 9, Article ID 093401, 15 p. (2018). MSC: 11N05 82D80 11M06 PDFBibTeX XMLCite \textit{S. Torquato} et al., J. Stat. Mech. Theory Exp. 2018, No. 9, Article ID 093401, 15 p. (2018; Zbl 1456.11175) Full Text: DOI arXiv
Funkhouser, Scott; Goldston, Daniel A.; Ledoan, Andrew H. Distribution of large gaps between primes. (English) Zbl 1441.11241 Pintz, János (ed.) et al., Irregularities in the distribution of prime numbers. From the era of Helmut Maier’s matrix method and beyond. Cham: Springer. 45-67 (2018). MSC: 11N05 11N25 PDFBibTeX XMLCite \textit{S. Funkhouser} et al., in: Irregularities in the distribution of prime numbers. From the era of Helmut Maier's matrix method and beyond. Cham: Springer. 45--67 (2018; Zbl 1441.11241) Full Text: DOI arXiv
Ford, Kevin; Maynard, James; Tao, Terence Chains of large gaps between primes. (English) Zbl 1456.11173 Pintz, János (ed.) et al., Irregularities in the distribution of prime numbers. From the era of Helmut Maier’s matrix method and beyond. Cham: Springer. 1-21 (2018). Reviewer: Stephan Baier (Haora) MSC: 11N05 11N25 PDFBibTeX XMLCite \textit{K. Ford} et al., in: Irregularities in the distribution of prime numbers. From the era of Helmut Maier's matrix method and beyond. Cham: Springer. 1--21 (2018; Zbl 1456.11173) Full Text: DOI arXiv
Abdeljalil, Saghe A new approach to nonstandard analysis. (English) Zbl 1412.26065 Sahand Commun. Math. Anal. 12, No. 1, 195-254 (2018). MSC: 26E35 03H05 PDFBibTeX XMLCite \textit{S. Abdeljalil}, Sahand Commun. Math. Anal. 12, No. 1, 195--254 (2018; Zbl 1412.26065) Full Text: DOI
Giuliano, Rita; Macci, Claudio Large deviation results and applications to the generalized Cramér model. (English) Zbl 1390.60106 Mathematics 6, No. 4, Paper No. 49, 12 p. (2018). MSC: 60F10 11B25 11N13 PDFBibTeX XMLCite \textit{R. Giuliano} and \textit{C. Macci}, Mathematics 6, No. 4, Paper No. 49, 12 p. (2018; Zbl 1390.60106) Full Text: DOI
Zhang, G.; Martelli, F.; Torquato, S. The structure factor of primes. (English) Zbl 1436.11010 J. Phys. A, Math. Theor. 51, No. 11, Article ID 115001, 16 p. (2018). MSC: 11A41 11K45 PDFBibTeX XMLCite \textit{G. Zhang} et al., J. Phys. A, Math. Theor. 51, No. 11, Article ID 115001, 16 p. (2018; Zbl 1436.11010) Full Text: DOI arXiv
Ford, Kevin; Green, Ben; Konyagin, Sergei; Maynard, James; Tao, Terence Long gaps between primes. (English) Zbl 1392.11071 J. Am. Math. Soc. 31, No. 1, 65-105 (2018). Reviewer: Florian Luca (Morelia) MSC: 11N05 11N36 05C65 05C70 PDFBibTeX XMLCite \textit{K. Ford} et al., J. Am. Math. Soc. 31, No. 1, 65--105 (2018; Zbl 1392.11071) Full Text: DOI arXiv
Shareshian, John; Woodroofe, Russ Divisibility of binomial coefficients and generation of alternating groups. (English) Zbl 1371.05007 Pac. J. Math. 292, No. 1, 223-238 (2018). MSC: 05A10 05E15 11B65 20B30 PDFBibTeX XMLCite \textit{J. Shareshian} and \textit{R. Woodroofe}, Pac. J. Math. 292, No. 1, 223--238 (2018; Zbl 1371.05007) Full Text: DOI arXiv
Gaze, Eric; Gaze, Joseph On the even distribution of primes mod \(P\) (and why this is not a proof of the Goldbach conjecture). (English) Zbl 1345.11068 Math. Intell. 38, No. 1, 14-21 (2016). MSC: 11N05 11P32 PDFBibTeX XMLCite \textit{E. Gaze} and \textit{J. Gaze}, Math. Intell. 38, No. 1, 14--21 (2016; Zbl 1345.11068) Full Text: DOI
Ford, Kevin; Green, Ben; Konyagin, Sergei; Tao, Terence Large gaps between consecutive prime numbers. (English) Zbl 1338.11083 Ann. Math. (2) 183, No. 3, 935-974 (2016). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N05 11N13 11N36 11B30 PDFBibTeX XMLCite \textit{K. Ford} et al., Ann. Math. (2) 183, No. 3, 935--974 (2016; Zbl 1338.11083) 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
Pintz, János On the ratio of consecutive gaps between primes. (English) Zbl 1390.11107 Pomerance, Carl (ed.) et al., Analytic number theory. In honor of Helmut Maier’s 60th birthday. Cham: Springer (ISBN 978-3-319-22239-4/hbk; 978-3-319-22240-0/ebook). 285-304 (2015). MSC: 11N05 11N25 PDFBibTeX XMLCite \textit{J. Pintz}, in: Analytic number theory. In honor of Helmut Maier's 60th birthday. Cham: Springer. 285--304 (2015; Zbl 1390.11107) Full Text: DOI arXiv
Ford, Kevin; Heath-Brown, D. R.; Konyagin, Sergei Large gaps between consecutive prime numbers containing perfect powers. (English) Zbl 1391.11125 Pomerance, Carl (ed.) et al., Analytic number theory. In honor of Helmut Maier’s 60th birthday. Cham: Springer (ISBN 978-3-319-22239-4/hbk; 978-3-319-22240-0/ebook). 83-92 (2015). MSC: 11N25 11N05 PDFBibTeX XMLCite \textit{K. Ford} et al., in: Analytic number theory. In honor of Helmut Maier's 60th birthday. Cham: Springer. 83--92 (2015; Zbl 1391.11125) Full Text: DOI arXiv
Aryan, Farzad The distribution of \(k\)-tuples of reduced residues. (English) Zbl 1323.11075 Mathematika 61, No. 1, 72-88 (2015). Reviewer: Kaisa Matomäki (Turku) MSC: 11N36 11N69 PDFBibTeX XMLCite \textit{F. Aryan}, Mathematika 61, No. 1, 72--88 (2015; Zbl 1323.11075) Full Text: DOI arXiv
Kontorovich, Alex Levels of distribution and the affine sieve. (English. French summary) Zbl 1335.11078 Ann. Fac. Sci. Toulouse, Math. (6) 23, No. 5, 933-966 (2014). Reviewer: Emre Alkan (Istanbul) MSC: 11N36 11M35 11N05 PDFBibTeX XMLCite \textit{A. Kontorovich}, Ann. Fac. Sci. Toulouse, Math. (6) 23, No. 5, 933--966 (2014; Zbl 1335.11078) Full Text: DOI arXiv
Dahan, Xavier Regular graphs of large girth and arbitrary degree. (English) Zbl 1340.05117 Combinatorica 34, No. 4, 407-426 (2014). Reviewer: Vilmar Trevisan (Porto Alegre) MSC: 05C25 05C38 PDFBibTeX XMLCite \textit{X. Dahan}, Combinatorica 34, No. 4, 407--426 (2014; Zbl 1340.05117) Full Text: DOI arXiv
Silva, Tomás Oliveira E.; Herzog, Siegfried; Pardi, Silvio Empirical verification of the even Goldbach conjecture and computation of prime gaps up to \(4\cdot 10^{18}\). (English) Zbl 1290.11161 Math. Comput. 83, No. 288, 2033-2060 (2014). MSC: 11Y99 11A41 11P32 11N35 11N05 PDFBibTeX XMLCite \textit{T. O. E. Silva} et al., Math. Comput. 83, No. 288, 2033--2060 (2014; Zbl 1290.11161) Full Text: DOI
Kontorovich, Alex From Apollonius to Zaremba: local-global phenomena in thin orbits. (English) Zbl 1309.11040 Bull. Am. Math. Soc., New Ser. 50, No. 2, 187-228 (2013). MSC: 11F41 11J70 11P55 20H10 22E40 PDFBibTeX XMLCite \textit{A. Kontorovich}, Bull. Am. Math. Soc., New Ser. 50, No. 2, 187--228 (2013; Zbl 1309.11040) Full Text: DOI arXiv
Banks, William D.; Pappalardi, Francesco; Shparlinski, Igor E. On group structures realized by elliptic curves over arbitrary finite fields. (English) Zbl 1257.11060 Exp. Math. 21, No. 1, 11-25 (2012). Reviewer: Kit Ho Mak (Atlanta) MSC: 11G20 14G15 14H52 PDFBibTeX XMLCite \textit{W. D. Banks} et al., Exp. Math. 21, No. 1, 11--25 (2012; Zbl 1257.11060) Full Text: DOI arXiv
Tao, Terence; Croot, Ernest III; Helfgott, Harald [Polymath, D. H. J.] Deterministic methods to find primes. (English) Zbl 1267.11123 Math. Comput. 81, No. 278, 1233-1246 (2012). MSC: 11Y11 11Y16 PDFBibTeX XMLCite \textit{T. Tao} et al., Math. Comput. 81, No. 278, 1233--1246 (2012; Zbl 1267.11123) Full Text: DOI
Olofsson, Rikard Properties of the Beurling generalized primes. (English) Zbl 1226.11104 J. Number Theory 131, No. 1, 45-58 (2011). Reviewer: Florin Nicolae (Berlin) MSC: 11N80 PDFBibTeX XMLCite \textit{R. Olofsson}, J. Number Theory 131, No. 1, 45--58 (2011; Zbl 1226.11104) Full Text: DOI
Granville, Andrew Different approaches to the distribution of primes. (English) Zbl 1275.11129 Milan J. Math. 78, No. 1, 65-84 (2010). Reviewer: Giovanni Coppola (Avellino) MSC: 11N05 11N13 11-02 PDFBibTeX XMLCite \textit{A. Granville}, Milan J. Math. 78, No. 1, 65--84 (2010; Zbl 1275.11129) Full Text: DOI
Pintz, János Landau’s problems on primes. (English) Zbl 1239.11101 J. Théor. Nombres Bordx. 21, No. 2, 357-404 (2009). Reviewer: Daniel Goldston (San José) MSC: 11N05 11P32 11-02 11N36 PDFBibTeX XMLCite \textit{J. Pintz}, J. Théor. Nombres Bordx. 21, No. 2, 357--404 (2009; Zbl 1239.11101) Full Text: DOI EuDML Link
Pintz, János Cramér vs. Cramér. On Cramér’s probabilistic model for primes. (English) Zbl 1226.11096 Funct. Approximatio, Comment. Math. 37, Part 2, 361-376 (2007). MSC: 11N05 PDFBibTeX XMLCite \textit{J. Pintz}, Funct. Approximatio, Comment. Math. 37, Part 2, 361--376 (2007; Zbl 1226.11096) Full Text: DOI Euclid
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