Najman, Filip; Trbović, Antonela Splitting of primes in number fields generated by points on some modular curves. (English) Zbl 07525946 Res. Number Theory 8, No. 2, Paper No. 28, 18 p. (2022). MSC: 11-XX PDF BibTeX XML Cite \textit{F. Najman} and \textit{A. Trbović}, Res. Number Theory 8, No. 2, Paper No. 28, 18 p. (2022; Zbl 07525946) Full Text: DOI OpenURL
Pintz, János On the mean value of arithmetic error terms. (English) Zbl 07523960 Math. Pannonica (N.S.) 28, No. 1, 58-64 (2022). MSC: 11N05 11N37 PDF BibTeX XML Cite \textit{J. Pintz}, Math. Pannonica (N.S.) 28, No. 1, 58--64 (2022; Zbl 07523960) Full Text: DOI OpenURL
Baluyot, Siegfred; Pratt, Kyle Dirichlet \(L\)-functions of quadratic characters of prime conductor at the central point. (English) Zbl 07499434 J. Eur. Math. Soc. (JEMS) 24, No. 2, 369-460 (2022). MSC: 11M20 11N36 11R42 PDF BibTeX XML Cite \textit{S. Baluyot} and \textit{K. Pratt}, J. Eur. Math. Soc. (JEMS) 24, No. 2, 369--460 (2022; Zbl 07499434) Full Text: DOI OpenURL
Győry, K.; Hajdu, L.; Sárközy, A. On additive and multiplicative decompositions of sets of integers composed from a given set of primes, I. (additive decompositions). (English) Zbl 07496895 Acta Arith. 202, No. 1, 29-42 (2022). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11P32 11P70 PDF BibTeX XML Cite \textit{K. Győry} et al., Acta Arith. 202, No. 1, 29--42 (2022; Zbl 07496895) Full Text: DOI OpenURL
Wannes, Walid Large bias amongst products of two primes. (English) Zbl 07493932 Bull. Malays. Math. Sci. Soc. (2) 45, No. 2, 623-629 (2022). MSC: 11A63 11L03 11N05 11N69 PDF BibTeX XML Cite \textit{W. Wannes}, Bull. Malays. Math. Sci. Soc. (2) 45, No. 2, 623--629 (2022; Zbl 07493932) Full Text: DOI OpenURL
Halupczok, Karin; Munsch, Marc Large sieve estimate for multivariate polynomial moduli and applications. (English) Zbl 07493687 Monatsh. Math. 197, No. 3, 463-478 (2022). MSC: 11B57 11L07 11N32 11C08 11N36 PDF BibTeX XML Cite \textit{K. Halupczok} and \textit{M. Munsch}, Monatsh. Math. 197, No. 3, 463--478 (2022; Zbl 07493687) Full Text: DOI arXiv OpenURL
Garcia, Stephan Ramon; Lee, Ethan Simpson Unconditional explicit Mertens’ theorems for number fields and Dedekind zeta residue bounds. (English) Zbl 07490463 Ramanujan J. 57, No. 3, 1169-1191 (2022). MSC: 11N32 11N05 11N13 PDF BibTeX XML Cite \textit{S. R. Garcia} and \textit{E. S. Lee}, Ramanujan J. 57, No. 3, 1169--1191 (2022; Zbl 07490463) Full Text: DOI arXiv OpenURL
Frączek, Krzysztof; Kanigowski, Adam; Lemańczyk, Mariusz Prime number theorem for regular Toeplitz subshifts. (English) Zbl 07488211 Ergodic Theory Dyn. Syst. 42, No. 4, 1446-1473 (2022). MSC: 37B10 37A44 11N05 11N13 PDF BibTeX XML Cite \textit{K. Frączek} et al., Ergodic Theory Dyn. Syst. 42, No. 4, 1446--1473 (2022; Zbl 07488211) Full Text: DOI arXiv OpenURL
Lin, Jiawei; Martin, Greg Densities in certain three-way prime number races. (English) Zbl 07473363 Can. J. Math. 74, No. 1, 232-265 (2022). MSC: 11N13 11M26 11K99 60F05 20E07 PDF BibTeX XML Cite \textit{J. Lin} and \textit{G. Martin}, Can. J. Math. 74, No. 1, 232--265 (2022; Zbl 07473363) Full Text: DOI arXiv OpenURL
Čejchan, Antonín; Křížek, Michal; Somer, Lawrence On remarkable properties of primes near factorials and primorials. (English) Zbl 1483.11009 J. Integer Seq. 25, No. 1, Article 22.1.4, 11 p. (2022). MSC: 11A41 11N05 PDF BibTeX XML Cite \textit{A. Čejchan} et al., J. Integer Seq. 25, No. 1, Article 22.1.4, 11 p. (2022; Zbl 1483.11009) Full Text: Link OpenURL
Aymone, Marco A note on prime number races and zero free regions for \(L\) functions. (English) Zbl 07468294 Int. J. Number Theory 18, No. 1, 1-8 (2022). MSC: 11M06 11M20 11N05 PDF BibTeX XML Cite \textit{M. Aymone}, Int. J. Number Theory 18, No. 1, 1--8 (2022; Zbl 07468294) Full Text: DOI arXiv OpenURL
Kolossváry, István B.; Kolossváry, István T. Distance between natural numbers based on their prime signature. (English) Zbl 07466545 J. Number Theory 234, 120-139 (2022). MSC: 11N64 11K65 11N37 11Y70 PDF BibTeX XML Cite \textit{I. B. Kolossváry} and \textit{I. T. Kolossváry}, J. Number Theory 234, 120--139 (2022; Zbl 07466545) Full Text: DOI arXiv OpenURL
Morrill, Thomas; Platt, Dave; Trudgian, Tim Sign changes in the prime number theorem. (English) Zbl 07462093 Ramanujan J. 57, No. 1, 165-173 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11M26 11N05 PDF BibTeX XML Cite \textit{T. Morrill} et al., Ramanujan J. 57, No. 1, 165--173 (2022; Zbl 07462093) Full Text: DOI arXiv OpenURL
Ghioca, Dragos; Shparlinski, Igor E. Order of torsion for reduction of linearly independent points for a family of Drinfeld modules. (English) Zbl 07452394 J. Number Theory 233, 112-125 (2022). MSC: 11-XX 37P35 PDF BibTeX XML Cite \textit{D. Ghioca} and \textit{I. E. Shparlinski}, J. Number Theory 233, 112--125 (2022; Zbl 07452394) Full Text: DOI arXiv OpenURL
Schlage-Puchta, Jan-Christoph Continuous prime systems satisfying \(N(x)=c(x-1)+1\). (English) Zbl 07532048 Constr. Math. Anal. 4, No. 4, 378-383 (2021). MSC: 11N80 11Y60 30A10 33E20 65E05 PDF BibTeX XML Cite \textit{J.-C. Schlage-Puchta}, Constr. Math. Anal. 4, No. 4, 378--383 (2021; Zbl 07532048) Full Text: DOI OpenURL
Villalba, Mario Mendoza; García Hernández, Danilo A. A recursive formula concerning the greatest prime number less than or equal to an odd number \(n\). (English) Zbl 07523028 JP J. Algebra Number Theory Appl. 51, No. 1, 113-124 (2021). MSC: 11-06 11A41 11N05 11-04 PDF BibTeX XML Cite \textit{M. M. Villalba} and \textit{D. A. García Hernández}, JP J. Algebra Number Theory Appl. 51, No. 1, 113--124 (2021; Zbl 07523028) Full Text: DOI OpenURL
Baier, Stephan; Mazumder, Dwaipayan; Technau, Marc On the distribution of \(\alpha p\) modulo one in quadratic number fields. (English) Zbl 07512393 Unif. Distrib. Theory 16, No. 2, 1-48 (2021). Reviewer: Giovanni Coppola (Napoli) MSC: 11J17 11J71 11N35 11N36 11L20 11L07 11K60 PDF BibTeX XML Cite \textit{S. Baier} et al., Unif. Distrib. Theory 16, No. 2, 1--48 (2021; Zbl 07512393) Full Text: DOI OpenURL
Laib, I. The degree of primitive sequences and Erdős conjecture. (English) Zbl 07475406 Math. Montisnigri 52, 37-42 (2021). MSC: 11B05 11Y55 11L20 PDF BibTeX XML Cite \textit{I. Laib}, Math. Montisnigri 52, 37--42 (2021; Zbl 07475406) Full Text: DOI OpenURL
McNamara, Redmond A dynamical proof of the prime number theorem. (English) Zbl 1483.11011 Hardy-Ramanujan J. 44, 160-185 (2021). MSC: 11A41 11N05 37A44 37A46 PDF BibTeX XML Cite \textit{R. McNamara}, Hardy-Ramanujan J. 44, 160--185 (2021; Zbl 1483.11011) Full Text: DOI arXiv OpenURL
Ramaré, Olivier Accurate computations of Euler products over primes in arithmetic progressions. (English) Zbl 07472539 Funct. Approximatio, Comment. Math. 65, No. 1, 33-45 (2021). Reviewer: Michael Th. Rassias (Zürich) MSC: 11Y60 11N13 PDF BibTeX XML Cite \textit{O. Ramaré}, Funct. Approximatio, Comment. Math. 65, No. 1, 33--45 (2021; Zbl 07472539) Full Text: DOI arXiv OpenURL
Wagstaff, Samuel S. jun. Sum of reciprocals of germain primes. (English) Zbl 1482.11122 J. Integer Seq. 24, No. 9, Article 21.9.5, 10 p. (2021). MSC: 11N05 11Y60 11P32 PDF BibTeX XML Cite \textit{S. S. Wagstaff jun.}, J. Integer Seq. 24, No. 9, Article 21.9.5, 10 p. (2021; Zbl 1482.11122) Full Text: Link Backlinks: MO OpenURL
Varona, Juan Luis On the solution of the equation \(n = ak + bp_k\) by means of an iterative method. (English) Zbl 07471006 J. Integer Seq. 24, No. 10, Article 21.10.5, 12 p. (2021). MSC: 11B83 11A41 65H05 PDF BibTeX XML Cite \textit{J. L. Varona}, J. Integer Seq. 24, No. 10, Article 21.10.5, 12 p. (2021; Zbl 07471006) Full Text: arXiv Link OpenURL
Chatzakos, Dimitrios; Kurlberg, Pär; Lester, Stephen; Wigman, Igor On the distribution of lattice points on hyperbolic circles. (English) Zbl 07463745 Algebra Number Theory 15, No. 9, 2357-2380 (2021). Reviewer: Alar Leibak (Tallinn) MSC: 11E25 11H06 11N36 11N37 11N13 11N35 PDF BibTeX XML Cite \textit{D. Chatzakos} et al., Algebra Number Theory 15, No. 9, 2357--2380 (2021; Zbl 07463745) Full Text: DOI arXiv OpenURL
Richter, Florian K. A new elementary proof of the Prime Number Theorem. (English) Zbl 07456945 Bull. Lond. Math. Soc. 53, No. 5, 1365-1375 (2021). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N05 11A41 PDF BibTeX XML Cite \textit{F. K. Richter}, Bull. Lond. Math. Soc. 53, No. 5, 1365--1375 (2021; Zbl 07456945) Full Text: DOI arXiv OpenURL
Varona, Juan Luis A couple of transcendental prime-representing constants. (English) Zbl 1482.11012 Am. Math. Mon. 128, No. 10, 922-928 (2021). MSC: 11A41 11J81 11Y60 PDF BibTeX XML Cite \textit{J. L. Varona}, Am. Math. Mon. 128, No. 10, 922--928 (2021; Zbl 1482.11012) Full Text: DOI arXiv OpenURL
Korniłowicz, Artur; Surowik, Dariusz Elementary number theory problems. II. (English) Zbl 1473.68209 Formaliz. Math. 29, No. 1, 63-68 (2021). MSC: 68V20 11A41 PDF BibTeX XML Cite \textit{A. Korniłowicz} and \textit{D. Surowik}, Formaliz. Math. 29, No. 1, 63--68 (2021; Zbl 1473.68209) Full Text: DOI OpenURL
Mijajlović, Žarko Fifty years of Kurepa’s \(!n\) hypothesis. (English) Zbl 1472.11003 Bull., Cl. Sci. Math. Nat., Sci. Math. 46, 169-181 (2021). MSC: 11-03 11B50 11K65 11L20 05C60 PDF BibTeX XML Cite \textit{Ž. Mijajlović}, Bull., Cl. Sci. Math. Nat., Sci. Math. 46, 169--181 (2021; Zbl 1472.11003) Full Text: Link OpenURL
Zelinsky, Joshua On the total number of prime factors of an odd perfect number. (English) Zbl 07395859 Integers 21, Paper A76, 55 p. (2021). Reviewer: Pace Nielsen (Provo) MSC: 11A25 11A51 11N32 PDF BibTeX XML Cite \textit{J. Zelinsky}, Integers 21, Paper A76, 55 p. (2021; Zbl 07395859) Full Text: arXiv Link OpenURL
Nazari, A. R.; Rastgoo, F. Top local cohomology and top formal local cohomology modules with specified attached primes. (English) Zbl 1468.13042 J. Algebr. Syst. 8, No. 2, 155-164 (2021). MSC: 13D45 13E15 PDF BibTeX XML Cite \textit{A. R. Nazari} and \textit{F. Rastgoo}, J. Algebr. Syst. 8, No. 2, 155--164 (2021; Zbl 1468.13042) Full Text: DOI OpenURL
Cai, Tianxin A modern introduction to classical number theory. Revised edition of The book of numbers. Preface translated from the Chinese by Jing Du. (English) Zbl 1469.11001 Singapore: World Scientific (ISBN 978-981-12-1829-3/hbk; 978-981-12-1831-6/ebook). xxix, 399 p. (2021). MSC: 11-01 11Axx 11N05 97F60 PDF BibTeX XML Cite \textit{T. Cai}, A modern introduction to classical number theory. Revised edition of \textit{The book of numbers}. Preface translated from the Chinese by Jing Du. Singapore: World Scientific (2021; Zbl 1469.11001) Full Text: DOI OpenURL
Banks, William Arithmetic progressions of Carmichael numbers in a reduced residue class. (English) Zbl 1473.11179 J. Number Theory 228, 22-28 (2021). Reviewer: Gregory Debruyne (Champaign) MSC: 11N25 11B25 11N13 PDF BibTeX XML Cite \textit{W. Banks}, J. Number Theory 228, 22--28 (2021; Zbl 1473.11179) Full Text: DOI arXiv OpenURL
Tait, Michael; Timmons, Craig Regular Turán numbers of complete bipartite graphs. (English) Zbl 1469.05080 Discrete Math. 344, No. 10, Article ID 112531, 13 p. (2021). MSC: 05C30 05C35 05C50 11N05 PDF BibTeX XML Cite \textit{M. Tait} and \textit{C. Timmons}, Discrete Math. 344, No. 10, Article ID 112531, 13 p. (2021; Zbl 1469.05080) Full Text: DOI arXiv OpenURL
Broadbent, Samuel; Kadiri, Habiba; Lumley, Allysa; Ng, Nathan; Wilk, Kirsten Sharper bounds for the Chebyshev function \(\theta (x)\). (English) Zbl 1478.11108 Math. Comput. 90, No. 331, 2281-2315 (2021). Reviewer: Kübra Benli (Vandœuvre-lès-Nancy) MSC: 11N05 11M06 11M26 PDF BibTeX XML Cite \textit{S. Broadbent} et al., Math. Comput. 90, No. 331, 2281--2315 (2021; Zbl 1478.11108) Full Text: DOI arXiv OpenURL
Bailleul, Alexandre Chebyshev’s bias in dihedral and generalized quaternion Galois groups. (English) Zbl 1477.11166 Algebra Number Theory 15, No. 4, 999-1041 (2021). Reviewer: Robert W. van der Waall (Huizen) MSC: 11N05 11K38 11M20 11R42 11R44 11R45 PDF BibTeX XML Cite \textit{A. Bailleul}, Algebra Number Theory 15, No. 4, 999--1041 (2021; Zbl 1477.11166) Full Text: DOI arXiv OpenURL
Axler, Christian; Hassani, Mehdi Carleman’s inequality over prime numbers. (English) Zbl 1477.11165 Integers 21, Paper A53, 12 p. (2021). Reviewer: Pieter Moree (Bonn) MSC: 11N05 26D15 26E60 PDF BibTeX XML Cite \textit{C. Axler} and \textit{M. Hassani}, Integers 21, Paper A53, 12 p. (2021; Zbl 1477.11165) Full Text: Link OpenURL
De Koninck, Jean-Marie; Doyon, Nicolas The life of primes in 37 episodes. (English) Zbl 1480.11001 Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6489-9/pbk; 978-1-4704-6537-7/ebook). xiv, 329 p. (2021). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 11-03 01A05 00A09 PDF BibTeX XML Cite \textit{J.-M. De Koninck} and \textit{N. Doyon}, The life of primes in 37 episodes. Providence, RI: American Mathematical Society (AMS) (2021; Zbl 1480.11001) OpenURL
Hollenbach, Ruwen Bounds on the number of irreducible Brauer characters in blocks of finite groups of exceptional Lie type. (English) Zbl 07347045 J. Algebra 580, 199-221 (2021). MSC: 20C15 20C33 PDF BibTeX XML Cite \textit{R. Hollenbach}, J. Algebra 580, 199--221 (2021; Zbl 07347045) Full Text: DOI OpenURL
Li, Sanhua; Cai, Yingchun On a binary Diophantine inequality involving prime numbers. (English) Zbl 1469.11398 Ramanujan J. 54, No. 3, 571-589 (2021). MSC: 11P32 11D75 11P55 PDF BibTeX XML Cite \textit{S. Li} and \textit{Y. Cai}, Ramanujan J. 54, No. 3, 571--589 (2021; Zbl 1469.11398) Full Text: DOI OpenURL
Sun, Zhi-Wei Further results on Hilbert’s tenth problem. (English) Zbl 07344763 Sci. China, Math. 64, No. 2, 281-306 (2021). Reviewer: Xavier Vidaux (Concepción) MSC: 03D35 03B25 11U05 03D25 11D99 11A41 11B39 PDF BibTeX XML Cite \textit{Z.-W. Sun}, Sci. China, Math. 64, No. 2, 281--306 (2021; Zbl 07344763) Full Text: DOI arXiv OpenURL
Abate, Marco Book review of: A. Granville, Number theory revealed: an introduction; Number theory revealed: a masterclass. (English) Zbl 1461.00011 Math. Intell. 43, No. 1, 128-129 (2021). MSC: 00A17 11-01 11A05 11A07 11A15 11A41 11A51 11B39 11D04 11D07 11A55 11B30 11D09 11D25 11N05 11N25 PDF BibTeX XML Cite \textit{M. Abate}, Math. Intell. 43, No. 1, 128--129 (2021; Zbl 1461.00011) Full Text: DOI OpenURL
Lee, Ethan S. On an explicit zero-free region for the Dedekind zeta-function. (English) Zbl 1470.11296 J. Number Theory 224, 307-322 (2021). Reviewer: Robert W. van der Waall (Amsterdam) MSC: 11R42 11R44 11M06 11N13 11B25 PDF BibTeX XML Cite \textit{E. S. Lee}, J. Number Theory 224, 307--322 (2021; Zbl 1470.11296) Full Text: DOI arXiv OpenURL
Bennett, Michael A.; Martin, Greg; O’Bryant, Kevin; Rechnitzer, Andrew Counting zeros of Dirichlet \(L\)-functions. (English) Zbl 1475.11148 Math. Comput. 90, No. 329, 1455-1482 (2021). MSC: 11M26 11M20 11N13 11N37 11Y35 11Y40 PDF BibTeX XML Cite \textit{M. A. Bennett} et al., Math. Comput. 90, No. 329, 1455--1482 (2021; Zbl 1475.11148) Full Text: DOI arXiv OpenURL
Elsholtz, Christian Fermat’s last theorem implies Euclid’s infinitude of primes. (English) Zbl 1467.11008 Am. Math. Mon. 128, No. 3, 250-257 (2021). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11A41 05D10 11B75 PDF BibTeX XML Cite \textit{C. Elsholtz}, Am. Math. Mon. 128, No. 3, 250--257 (2021; Zbl 1467.11008) Full Text: DOI arXiv OpenURL
Cho, Peter J.; Kim, Henry H. The smallest prime in a conjugacy class and the first sign change for automorphic \(L\)-functions. (English) Zbl 1473.11176 Proc. Am. Math. Soc. 149, No. 3, 923-933 (2021). MSC: 11N05 11R44 11R42 PDF BibTeX XML Cite \textit{P. J. Cho} and \textit{H. H. Kim}, Proc. Am. Math. Soc. 149, No. 3, 923--933 (2021; Zbl 1473.11176) Full Text: DOI OpenURL
Koutsogiannis, Andreas; Le, Anh N.; Moreira, Joel; Richter, Florian K. Structure of multicorrelation sequences with integer part polynomial iterates along primes. (English) Zbl 1468.37008 Proc. Am. Math. Soc. 149, No. 1, 209-216 (2021). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 37A44 37A30 37A15 11B30 11A41 PDF BibTeX XML Cite \textit{A. Koutsogiannis} et al., Proc. Am. Math. Soc. 149, No. 1, 209--216 (2021; Zbl 1468.37008) Full Text: DOI arXiv Link OpenURL
Platt, David J.; Trudgian, Timothy S. The error term in the prime number theorem. (English) Zbl 1472.11245 Math. Comput. 90, No. 328, 871-881 (2021). MSC: 11N05 11N56 11M06 PDF BibTeX XML Cite \textit{D. J. Platt} and \textit{T. S. Trudgian}, Math. Comput. 90, No. 328, 871--881 (2021; Zbl 1472.11245) Full Text: DOI arXiv OpenURL
Vaughan, R. C. On some questions of partitio numerorum: tres cubi. (English) Zbl 1461.11131 Glasg. Math. J. 63, No. 1, 223-244 (2021). Reviewer: Juanjo Rué Perna (Barcelona) MSC: 11P05 11P21 11P32 11N36 PDF BibTeX XML Cite \textit{R. C. Vaughan}, Glasg. Math. J. 63, No. 1, 223--244 (2021; Zbl 1461.11131) Full Text: DOI OpenURL
Broughan, Kevin Bounded gaps between primes. The epic breakthroughs of the early twenty-first century. (English) Zbl 07279889 Cambridge: Cambridge University Press (ISBN 978-1-108-83674-6/hbk; 978-1-108-79920-1/pbk; 978-1-108-87220-1/ebook). xiv, 576 p. (2021). MSC: 11-02 01A61 11N05 11N35 PDF BibTeX XML Cite \textit{K. Broughan}, Bounded gaps between primes. The epic breakthroughs of the early twenty-first century. Cambridge: Cambridge University Press (2021; Zbl 07279889) Full Text: DOI OpenURL
Srinivas, Kotyada; Subramani, Muthukrishnan On admissible set of primes in real quadratic fields. (English) Zbl 1468.11229 Ramakrishnan, B. (ed.) et al., Modular forms and related topics in number theory. Proceedings of the international conference on number theory, ICNT 2018, Kozhikode, India, December 10–14, 2018. Singapore: Springer. Springer Proc. Math. Stat. 340, 227-233 (2020). MSC: 11R44 11R99 PDF BibTeX XML Cite \textit{K. Srinivas} and \textit{M. Subramani}, Springer Proc. Math. Stat. 340, 227--233 (2020; Zbl 1468.11229) Full Text: DOI OpenURL
Lynch, Peter Goldbach’s conjecture: if it’s unprovable, it must be true. (English) Zbl 1478.11116 Ir. Math. Soc. Bull. 86, 103-106 (2020). Reviewer: Alexandra Shlapentokh (Greenville) MSC: 11P32 03B25 PDF BibTeX XML Cite \textit{P. Lynch}, Ir. Math. Soc. Bull. 86, 103--106 (2020; Zbl 1478.11116) Full Text: Link OpenURL
Bridy, Andrew; Garton, Derek The cycle structure of unicritical polynomials. (English) Zbl 1465.37110 Int. Math. Res. Not. 2020, No. 23, 9120-9147 (2020). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 37P05 37P35 37H10 11Y05 11A51 12D05 PDF BibTeX XML Cite \textit{A. Bridy} and \textit{D. Garton}, Int. Math. Res. Not. 2020, No. 23, 9120--9147 (2020; Zbl 1465.37110) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Velez, Nicasio M. Mathematical magic: a study of number puzzles. (English) Zbl 1464.11032 Undergrad. Math J. 21, No. 2, Paper No. 1, 14 p. (2020). MSC: 11B75 00A08 00B15 PDF BibTeX XML Cite \textit{N. M. Velez}, Undergrad. Math J. 21, No. 2, Paper No. 1, 14 p. (2020; Zbl 1464.11032) Full Text: Link OpenURL
Jacobs, R.; Larson, C. E. A graph theoretic formula for the number of primes \(\pi(n)\). (English) Zbl 1462.11022 Integers 20, Paper A84, 3 p. (2020). MSC: 11B75 05C69 PDF BibTeX XML Cite \textit{R. Jacobs} and \textit{C. E. Larson}, Integers 20, Paper A84, 3 p. (2020; Zbl 1462.11022) Full Text: arXiv Link OpenURL
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 PDF BibTeX XML Cite \textit{S. L. Aletheia-Zomlefer} et al., Expo. Math. 38, No. 4, 430--479 (2020; Zbl 1471.11247) Full Text: DOI arXiv OpenURL
Sono, Keiju Recent progress on twin prime conjecture. (English) Zbl 1453.11121 RIMS Kôkyûroku Bessatsu B77, 3-28 (2020). MSC: 11N05 11N35 11N36 11-02 PDF BibTeX XML Cite \textit{K. Sono}, RIMS Kôkyûroku Bessatsu B77, 3--28 (2020; Zbl 1453.11121) Full Text: Link OpenURL
Müller, Helmut Two pearls from number theory: congruent numbers and the distribution of prime numbers. (Zwei Perlen der Zahlentheorie: kongruente Zahlen und Primzahlverteilung.) (German) Zbl 1475.11012 Mitt. Math. Ges. Hamb. 40, 63-84 (2020). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11A41 11G05 PDF BibTeX XML Cite \textit{H. Müller}, Mitt. Math. Ges. Hamb. 40, 63--84 (2020; Zbl 1475.11012) OpenURL
Plymen, Roger The great prime number race. (English) Zbl 1462.11005 Student Mathematical Library 92. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6257-4/pbk; 978-1-4704-6279-6/ebook). xii, 138 p. (2020). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-03 11A41 11M06 11N05 PDF BibTeX XML Cite \textit{R. Plymen}, The great prime number race. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 1462.11005) Full Text: DOI OpenURL
Barbarani, Vito A quantum model of the distribution of prime numbers and the Riemann hypothesis. (English) Zbl 1441.82016 Int. J. Theor. Phys. 59, No. 8, 2425-2470 (2020). MSC: 82C22 11B39 11N05 11M26 81V70 PDF BibTeX XML Cite \textit{V. Barbarani}, Int. J. Theor. Phys. 59, No. 8, 2425--2470 (2020; Zbl 1441.82016) Full Text: DOI OpenURL
Hooshmand, M. H. Index, sub-index and sub-factor of groups with interactions to number theory. (English) Zbl 07220181 J. Algebra Appl. 19, No. 6, Article ID 2050101, 23 p. (2020). MSC: 20F99 11P99 20E99 11P32 PDF BibTeX XML Cite \textit{M. H. Hooshmand}, J. Algebra Appl. 19, No. 6, Article ID 2050101, 23 p. (2020; Zbl 07220181) Full Text: DOI OpenURL
Trojan, Bartosz Variational estimates for operators over some thin subsets of primes. (English) Zbl 1446.37007 Math. Res. Lett. 27, No. 2, 591-628 (2020). Reviewer: Hasan Akin (Gaziantep) MSC: 37A30 37A44 46E30 42B25 11A41 47A35 PDF BibTeX XML Cite \textit{B. Trojan}, Math. Res. Lett. 27, No. 2, 591--628 (2020; Zbl 1446.37007) Full Text: DOI OpenURL
Bauer, Claus An \(L\)-function free proof of Hua’s theorem on sums of five prime squares. (English) Zbl 1463.11149 Stud. Sci. Math. Hung. 57, No. 1, 1-39 (2020). Reviewer: Štefan Porubský (Praha) MSC: 11P32 11P70 11N36 PDF BibTeX XML Cite \textit{C. Bauer}, Stud. Sci. Math. Hung. 57, No. 1, 1--39 (2020; Zbl 1463.11149) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{Y. Barhoumi-Andréani}, J. Theor. Probab. 33, No. 2, 567--589 (2020; Zbl 1455.11113) Full Text: DOI arXiv OpenURL
Chen, Y.-G.; Fang, J.-H. On the number of weakly prime-additive numbers. (English) Zbl 07200108 Acta Math. Hung. 160, No. 2, 444-452 (2020). MSC: 11A07 11A41 PDF BibTeX XML Cite \textit{Y. G. Chen} and \textit{J. H. Fang}, Acta Math. Hung. 160, No. 2, 444--452 (2020; Zbl 07200108) Full Text: DOI OpenURL
Dyson, Freeman J.; Frankel, Norman E.; Guttmann, Anthony J. SanD primes and numbers. (English) Zbl 07199603 J. Integer Seq. 23, No. 3, Article 20.3.4, 20 p. (2020). MSC: 11A41 11A63 11Y55 11Y60 PDF BibTeX XML Cite \textit{F. J. Dyson} et al., J. Integer Seq. 23, No. 3, Article 20.3.4, 20 p. (2020; Zbl 07199603) Full Text: arXiv Link OpenURL
Li, Sanhua; Cai, Yingchun On a Diophantine inequality involving prime numbers. (English) Zbl 1444.11051 Ramanujan J. 52, No. 1, 163-174 (2020). Reviewer: István Gaál (Debrecen) MSC: 11D75 11P32 11P55 11P05 PDF BibTeX XML Cite \textit{S. Li} and \textit{Y. Cai}, Ramanujan J. 52, No. 1, 163--174 (2020; Zbl 1444.11051) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{G. Martin} and \textit{N. Ng}, Trans. Am. Math. Soc. 373, No. 5, 3561--3607 (2020; Zbl 1469.11372) Full Text: DOI arXiv OpenURL
Sorenson, Jonathan P.; Webster, Jonathan Two algorithms to find primes in patterns. (English) Zbl 1461.11017 Math. Comput. 89, No. 324, 1953-1968 (2020). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 11A41 11Y11 11Y16 68Q25 PDF BibTeX XML Cite \textit{J. P. Sorenson} and \textit{J. Webster}, Math. Comput. 89, No. 324, 1953--1968 (2020; Zbl 1461.11017) Full Text: DOI arXiv OpenURL
Wang, Ruoyi On a theorem of Sárközy for difference sets and shifted primes. (English) Zbl 1444.11024 J. Number Theory 211, 220-234 (2020). Reviewer: Ilya D. Shkredov (Moskva) MSC: 11B13 05B10 11P55 11A41 PDF BibTeX XML Cite \textit{R. Wang}, J. Number Theory 211, 220--234 (2020; Zbl 1444.11024) Full Text: DOI arXiv OpenURL
Harris, Zachary; Louwsma, Joel On arithmetical structures on complete graphs. (English) Zbl 1480.11042 Involve 13, No. 2, 345-355 (2020). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11D68 05C50 11A41 PDF BibTeX XML Cite \textit{Z. Harris} and \textit{J. Louwsma}, Involve 13, No. 2, 345--355 (2020; Zbl 1480.11042) Full Text: DOI arXiv OpenURL
Simonič, Aleksander On Littlewood’s proof of the prime number theorem. (English) Zbl 1445.11103 Bull. Aust. Math. Soc. 101, No. 2, 226-232 (2020). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11N05 PDF BibTeX XML Cite \textit{A. Simonič}, Bull. Aust. Math. Soc. 101, No. 2, 226--232 (2020; Zbl 1445.11103) Full Text: DOI arXiv OpenURL
Gupta, Vijay Book review of: M. T. Rassias, Goldbach’s problem. Selected topics. (English) Zbl 1432.00013 Eur. Math. Soc. Newsl. 115, 43-44 (2020). MSC: 00A17 11-02 26-02 11P32 11P55 26D15 PDF BibTeX XML Cite \textit{V. Gupta}, Eur. Math. Soc. Newsl. 115, 43--44 (2020; Zbl 1432.00013) OpenURL
Li, Weixiong A note on the Bateman-Horn conjecture. (English) Zbl 1480.11118 J. Number Theory 208, 390-399 (2020). MSC: 11N32 11N13 11N05 PDF BibTeX XML Cite \textit{W. Li}, J. Number Theory 208, 390--399 (2020; Zbl 1480.11118) Full Text: DOI arXiv OpenURL
Kline, Jeffery On the eigenstructure of sparse matrices related to the prime number theorem. (English) Zbl 1427.15014 Linear Algebra Appl. 584, 409-430 (2020). Reviewer: John D. Dixon (Ottawa) MSC: 15A18 11A41 11M26 65F50 PDF BibTeX XML Cite \textit{J. Kline}, Linear Algebra Appl. 584, 409--430 (2020; Zbl 1427.15014) Full Text: DOI OpenURL
Helfgott, Harald Andrés An improved sieve of Eratosthenes. (English) Zbl 1450.11122 Math. Comput. 89, No. 321, 333-350 (2020). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 11Y05 11Y16 11Y11 11A51 PDF BibTeX XML Cite \textit{H. A. Helfgott}, Math. Comput. 89, No. 321, 333--350 (2020; Zbl 1450.11122) Full Text: DOI arXiv OpenURL
Chun, Deborah [Neale, Vicky] Book review of: Vicky Neale, Closing the gap. The quest to understand prime numbers. (English) Zbl 07447057 Lond. Math. Soc., Newsl. 2019, No. 482, 35-36 (2019). MSC: 00A17 00A09 11-01 11A51 11N05 11A41 PDF BibTeX XML Cite \textit{D. Chun}, Lond. Math. Soc., Newsl. 2019, No. 482, 35--36 (2019; Zbl 07447057) OpenURL
MacKay, Robert S. Book review of: K. Broughan, Equivalents of the Riemann hypothesis. Volume 1 and 2. (English) Zbl 1476.00012 Lond. Math. Soc., Newsl. 2019, No. 480, 40-41 (2019). MSC: 00A17 11-02 11M26 11N05 11N25 11N37 PDF BibTeX XML Cite \textit{R. S. MacKay}, Lond. Math. Soc., Newsl. 2019, No. 480, 40--41 (2019; Zbl 1476.00012) OpenURL
Deléglise, Marc; Nicolas, Jean-Louis The Landau function and the Riemann hypothesis. (English) Zbl 1481.11005 J. Comb. Number Theory 11, No. 2, 45-95 (2019). Reviewer: Olivier Ramaré (Marseille) MSC: 11A25 11N37 11N05 11-04 PDF BibTeX XML Cite \textit{M. Deléglise} and \textit{J.-L. Nicolas}, J. Comb. Number Theory 11, No. 2, 45--95 (2019; Zbl 1481.11005) Full Text: arXiv OpenURL
McAdam, Taylor Almost-prime times in horospherical flows on the space of lattices. (English) Zbl 1470.37052 J. Mod. Dyn. 15, 277-327 (2019). Reviewer: Giovanni Coppola (Napoli) MSC: 37D40 37A17 37A44 11N05 PDF BibTeX XML Cite \textit{T. McAdam}, J. Mod. Dyn. 15, 277--327 (2019; Zbl 1470.37052) Full Text: DOI arXiv OpenURL
Chubarikov, Vladimir Nikolaevich Aleksandr Yakovlevich Khinchin (19.07.1894–18.11.1959). (Russian. English summary) Zbl 1455.01023 Chebyshevskiĭ Sb. 20, No. 4(72), 439-445 (2019). MSC: 01A70 11-03 11Jxx 11P05 PDF BibTeX XML Cite \textit{V. N. Chubarikov}, Chebyshevskiĭ Sb. 20, No. 4(72), 439--445 (2019; Zbl 1455.01023) Full Text: DOI MNR OpenURL
Liu, Yuhui On a Waring-Goldbach problem involving squares and cubes. (English) Zbl 07289598 Math. Slovaca 69, No. 6, 1249-1262 (2019). MSC: 11P32 11P55 PDF BibTeX XML Cite \textit{Y. Liu}, Math. Slovaca 69, No. 6, 1249--1262 (2019; Zbl 07289598) Full Text: DOI OpenURL
Eggleton, Roger B. Equisum partitions of sets of positive integers. (English) Zbl 1460.11117 Algorithms (Basel) 12, No. 8, Paper No. 164, 13 p. (2019). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P70 05A18 11A25 PDF BibTeX XML Cite \textit{R. B. Eggleton}, Algorithms (Basel) 12, No. 8, Paper No. 164, 13 p. (2019; Zbl 1460.11117) Full Text: DOI OpenURL
Alvarez, Aurélien Prime numbers, Euclid and Coq. (Nombres premiers, Euclide et Coq.) (French) Zbl 1439.11018 Quadrature 111, 25-30 (2019). MSC: 11A41 11-04 68V15 68V20 PDF BibTeX XML Cite \textit{A. Alvarez}, Quadrature 111, 25--30 (2019; Zbl 1439.11018) OpenURL
Cho, Ilwoo; Jorgensen, Palle E. T. Deformation of semicircular and circular laws via \(p\)-adic number fields and sampling of primes. (English) Zbl 1452.46052 Opusc. Math. 39, No. 6, 773-813 (2019). MSC: 46L54 46S10 47L30 47L55 60B05 PDF BibTeX XML Cite \textit{I. Cho} and \textit{P. E. T. Jorgensen}, Opusc. Math. 39, No. 6, 773--813 (2019; Zbl 1452.46052) Full Text: DOI OpenURL
Dimabayao, Jerome T.; Ponomarenko, Vadim; Tigas, Orland James Q. On the monoid of monic binary quadratic forms. (English) Zbl 1449.11097 Miskolc Math. Notes 20, No. 2, 863-871 (2019). MSC: 11N32 11E25 11A41 PDF BibTeX XML Cite \textit{J. T. Dimabayao} et al., Miskolc Math. Notes 20, No. 2, 863--871 (2019; Zbl 1449.11097) Full Text: DOI OpenURL
Debruyne, Gregory; Vindas, Jasson On Diamond’s \(L^1\) criterion for asymptotic density of Beurling generalized integers. (English) Zbl 1465.11195 Mich. Math. J. 68, No. 1, 211-223 (2019). Reviewer: Giovanni Coppola (Napoli) MSC: 11N80 11M41 11R42 PDF BibTeX XML Cite \textit{G. Debruyne} and \textit{J. Vindas}, Mich. Math. J. 68, No. 1, 211--223 (2019; Zbl 1465.11195) Full Text: DOI arXiv Euclid OpenURL
Granville, Andrew Number theory revealed: a masterclass. (English) Zbl 1454.11002 Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4158-6/hbk; 978-1-4704-5424-1/ebook). xxviii, 587 p. (2019). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-01 11A55 11B30 11B39 11D09 11D25 11N05 11N25 PDF BibTeX XML Cite \textit{A. Granville}, Number theory revealed: a masterclass. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1454.11002) OpenURL
Kawashima, Katsuhiro Small primes obtained from a sequence of larger primes. (English) Zbl 1429.11179 JP J. Algebra Number Theory Appl. 42, No. 1, 111-117 (2019). MSC: 11N05 11Y99 PDF BibTeX XML Cite \textit{K. Kawashima}, JP J. Algebra Number Theory Appl. 42, No. 1, 111--117 (2019; Zbl 1429.11179) Full Text: DOI OpenURL
Koukoulopoulos, Dimitris The distribution of prime numbers. (English) Zbl 1468.11001 Graduate Studies in Mathematics 203. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4754-0/hbk; 978-1-4704-5420-3/ebook). xii, 356 p. (2019). Reviewer: Michael Th. Rassias (Zürich) MSC: 11-01 11N05 11Mxx PDF BibTeX XML Cite \textit{D. Koukoulopoulos}, The distribution of prime numbers. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1468.11001) Full Text: DOI OpenURL
Lamzouri, Youness; Martin, Bruno On the race between primes with an odd versus an even sum of the last \(k\) binary digits. (English) Zbl 1469.11371 Funct. Approximatio, Comment. Math. 61, No. 1, 7-25 (2019). MSC: 11N13 11A63 11K16 11N37 PDF BibTeX XML Cite \textit{Y. Lamzouri} and \textit{B. Martin}, Funct. Approximatio, Comment. Math. 61, No. 1, 7--25 (2019; Zbl 1469.11371) Full Text: DOI Euclid OpenURL
Ramírez Viñas, Víctor Julio A simple criterion for the class number of a quadratic number field to be one. (English) Zbl 1436.11129 Int. J. Number Theory 15, No. 9, 1857-1862 (2019). Reviewer: Anitha Srinivasan (Madrid) MSC: 11R11 11C08 11R29 11N32 PDF BibTeX XML Cite \textit{V. J. Ramírez Viñas}, Int. J. Number Theory 15, No. 9, 1857--1862 (2019; Zbl 1436.11129) Full Text: DOI OpenURL
Mahnkopf, J. Book review of: K. Broughan, Equivalents of the Riemann hypothesis. Volume 2: Analytic equivalents. (English) Zbl 1435.00031 Monatsh. Math. 190, No. 2, 406 (2019). MSC: 00A17 11-02 11M26 11N05 11N25 PDF BibTeX XML Cite \textit{J. Mahnkopf}, Monatsh. Math. 190, No. 2, 406 (2019; Zbl 1435.00031) Full Text: DOI OpenURL
Lichtman, Jared Duker; Martin, Greg; Pomerance, Carl Primes in prime number races. (English) Zbl 1473.11177 Proc. Am. Math. Soc. 147, No. 9, 3743-3757 (2019). MSC: 11N05 11B83 11M26 PDF BibTeX XML Cite \textit{J. D. Lichtman} et al., Proc. Am. Math. Soc. 147, No. 9, 3743--3757 (2019; Zbl 1473.11177) Full Text: DOI arXiv OpenURL
Karimi, Shokoufe; Mafi, Amir On stability properties of powers of polymatroidal ideals. (English) Zbl 1435.13002 Collect. Math. 70, No. 3, 357-365 (2019). Reviewer: Siamak Yassemi (Tehran) MSC: 13A15 13A30 13C15 PDF BibTeX XML Cite \textit{S. Karimi} and \textit{A. Mafi}, Collect. Math. 70, No. 3, 357--365 (2019; Zbl 1435.13002) Full Text: DOI arXiv OpenURL
Filaseta, Michael A class of irreducible polynomials associated with prime divisors of values of cyclotomic polynomials. (English) Zbl 1457.11147 Mathematika 65, No. 4, 1033-1037 (2019). Reviewer: Salah Najib (Khouribga) MSC: 11R09 11C08 11B83 11N05 12E05 PDF BibTeX XML Cite \textit{M. Filaseta}, Mathematika 65, No. 4, 1033--1037 (2019; Zbl 1457.11147) Full Text: DOI OpenURL
Rudnick, Zeév; Waxman, Ezra Angles of Gaussian primes. (English) Zbl 1467.11107 Isr. J. Math. 232, No. 1, 159-199 (2019). Reviewer: Shabnam Akhtari (Eugene) MSC: 11R45 11M50 11R42 PDF BibTeX XML Cite \textit{Z. Rudnick} and \textit{E. Waxman}, Isr. J. Math. 232, No. 1, 159--199 (2019; Zbl 1467.11107) Full Text: DOI arXiv OpenURL
Bogart, Tristram; Mantilla-Soler, Guillermo An \(\ell-p\) switch trick to obtain a new proof of a criterion for arithmetic equivalence. (English) Zbl 1471.11261 Res. Number Theory 5, No. 1, Paper No. 1, 5 p. (2019). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R04 11R42 PDF BibTeX XML Cite \textit{T. Bogart} and \textit{G. Mantilla-Soler}, Res. Number Theory 5, No. 1, Paper No. 1, 5 p. (2019; Zbl 1471.11261) Full Text: DOI arXiv OpenURL
Trigub, Roald M. Chebyshev polynomials and integer coefficients. (English. Russian original) Zbl 1439.11092 Math. Notes 105, No. 2, 291-300 (2019); translation from Mat. Zametki 105, No. 2, 302-312 (2019). MSC: 11C08 30C10 41A10 PDF BibTeX XML Cite \textit{R. M. Trigub}, Math. Notes 105, No. 2, 291--300 (2019; Zbl 1439.11092); translation from Mat. Zametki 105, No. 2, 302--312 (2019) Full Text: DOI OpenURL
Saito, Ken Re-examination of the different origins of the arithmetical books of Euclid’s Elements. (English) Zbl 1428.01007 Hist. Math. 47, 39-53 (2019). Reviewer: Glen Van Brummelen (Squamish) MSC: 01A20 11-03 11A41 11A51 PDF BibTeX XML Cite \textit{K. Saito}, Hist. Math. 47, 39--53 (2019; Zbl 1428.01007) Full Text: DOI OpenURL
Ford, Kevin; Harper, Adam J.; Lamzouri, Youness Extreme biases in prime number races with many contestants. (English) Zbl 1451.11102 Math. Ann. 374, No. 1-2, 517-551 (2019). Reviewer: D. R. Heath-Brown (Garsington) MSC: 11N13 11K99 11M26 PDF BibTeX XML Cite \textit{K. Ford} et al., Math. Ann. 374, No. 1--2, 517--551 (2019; Zbl 1451.11102) Full Text: DOI arXiv Link OpenURL