Banks, William; Ford, Kevin; Tao, Terence Large prime gaps and probabilistic models. (English) Zbl 07724116 Invent. Math. 233, No. 3, 1471-1518 (2023). MSC: 11N05 11B83 PDF BibTeX XML Cite \textit{W. Banks} et al., Invent. Math. 233, No. 3, 1471--1518 (2023; Zbl 07724116) Full Text: DOI arXiv
Bary-Soroker, Lior; Koukoulopoulos, Dimitris; Kozma, Gady Irreducibility of random polynomials: general measures. (English) Zbl 07724111 Invent. Math. 233, No. 3, 1041-1120 (2023). MSC: 11R09 12E05 11N25 11T55 05A05 20B30 PDF BibTeX XML Cite \textit{L. Bary-Soroker} et al., Invent. Math. 233, No. 3, 1041--1120 (2023; Zbl 07724111) 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 PDF BibTeX XML Cite \textit{A. Granville} and \textit{A. Lumley}, Exp. Math. 32, No. 2, 378--404 (2023; Zbl 07708950) Full Text: DOI arXiv
Sofos, Efthymios Gaps between prime divisors and analogues in Diophantine geometry. (English) Zbl 07697108 Glasg. Math. J. 65, No. S1, S129-S147 (2023). MSC: 14G05 60F05 11K65 PDF BibTeX XML Cite \textit{E. Sofos}, Glasg. Math. J. 65, No. S1, S129--S147 (2023; Zbl 07697108) Full Text: DOI arXiv
Kurlberg, Pär; Lester, Stephen; Rosenzweig, Lior Superscars for arithmetic point scatters. II. (English) Zbl 07682700 Forum Math. Sigma 11, Paper No. e37, 48 p. (2023). MSC: 81U05 81Q20 35P10 81Q50 58J51 37C83 81Q10 26A30 PDF BibTeX XML Cite \textit{P. Kurlberg} et al., Forum Math. Sigma 11, Paper No. e37, 48 p. (2023; Zbl 07682700) Full Text: DOI arXiv
Sahu, Chaman Kumar Multipliers of the Hilbert spaces of Dirichlet series. (English) Zbl 1515.30015 New York J. Math. 29, 323-334 (2023). MSC: 30B50 46E22 PDF BibTeX XML Cite \textit{C. K. Sahu}, New York J. Math. 29, 323--334 (2023; Zbl 1515.30015) Full Text: arXiv Link
Matschke, Benjamin; Mudigonda, Abhijit S. Quadratic fields admitting elliptic curves with rational \(j\)-invariant and good reduction everywhere. (English) Zbl 07662019 J. Number Theory 247, 162-210 (2023). Reviewer: José María Tornero (Sevilla) MSC: 11G05 PDF BibTeX XML Cite \textit{B. Matschke} and \textit{A. S. Mudigonda}, J. Number Theory 247, 162--210 (2023; Zbl 07662019) Full Text: DOI arXiv
Evans, Natalie Correlations of almost primes. (English) Zbl 1512.11068 Math. Proc. Camb. Philos. Soc. 174, No. 2, 301-344 (2023). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N37 11N05 11N35 PDF BibTeX XML Cite \textit{N. Evans}, Math. Proc. Camb. Philos. Soc. 174, No. 2, 301--344 (2023; Zbl 1512.11068) Full Text: DOI arXiv
Gromadzki, Grzegorz Addendum to: “On the orders of largest groups of automorphisms of compact Riemann surfaces”. (English) Zbl 1494.30077 J. Pure Appl. Algebra 227, No. 1, Article ID 107160, 6 p. (2023). MSC: 30F10 20H10 PDF BibTeX XML Cite \textit{G. Gromadzki}, J. Pure Appl. Algebra 227, No. 1, Article ID 107160, 6 p. (2023; Zbl 1494.30077) Full Text: DOI
Baker, Roger C.; Munsch, Marc; Shparlinski, Igor E. Additive energy and a large sieve inequality for sparse sequences. (English) Zbl 07738299 Mathematika 68, No. 2, 362-399 (2022). MSC: 11B57 11L07 11N13 11D45 11L15 PDF BibTeX XML Cite \textit{R. C. Baker} et al., Mathematika 68, No. 2, 362--399 (2022; Zbl 07738299) Full Text: DOI arXiv
Matomäki, Kaisa (ed.); Soundararajan, Kannan (ed.); Vaughan, Robert C. (ed.); Wooley, Trevor D. (ed.) Analytic number theory. Abstracts from the workshop held November 6–12, 2022. (English) Zbl 07735405 Oberwolfach Rep. 19, No. 4, 2895-2960 (2022). MSC: 00B05 00B25 11-06 11Bxx 11Dxx 11Jxx 11Pxx PDF BibTeX XML Cite \textit{K. Matomäki} (ed.) et al., Oberwolfach Rep. 19, No. 4, 2895--2960 (2022; Zbl 07735405) Full Text: DOI
Matomäki, Kaisa Almost primes in almost all very short intervals. (English) Zbl 07730831 J. Lond. Math. Soc., II. Ser. 106, No. 2, 1061-1097 (2022). MSC: 11N25 11N36 PDF BibTeX XML Cite \textit{K. Matomäki}, J. Lond. Math. Soc., II. Ser. 106, No. 2, 1061--1097 (2022; Zbl 07730831) Full Text: DOI arXiv
Grimmelt, Lasse Vinogradov’s theorem with Fouvry-Iwaniec primes. (English) Zbl 1515.11091 Algebra Number Theory 16, No. 7, 1705-1776 (2022). Reviewer: Temenoujka Peneva (Plovdiv) MSC: 11N36 11P32 PDF BibTeX XML Cite \textit{L. Grimmelt}, Algebra Number Theory 16, No. 7, 1705--1776 (2022; Zbl 1515.11091) Full Text: DOI arXiv
Grimmelt, Lasse Goldbach numbers in short intervals. (English) Zbl 1512.11071 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 23, No. 3, 1395-1416 (2022). Reviewer: Olivier Ramaré (Marseille) MSC: 11P32 11P55 11N36 PDF BibTeX XML Cite \textit{L. Grimmelt}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 23, No. 3, 1395--1416 (2022; Zbl 1512.11071) Full Text: DOI
Lichtman, Jared Duker; Teräväinen, Joni On the Hardy-Littlewood-Chowla conjecture on average. (English) Zbl 1501.11094 Forum Math. Sigma 10, Paper No. e57, 17 p. (2022). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11P32 11L20 11N37 PDF BibTeX XML Cite \textit{J. D. Lichtman} and \textit{J. Teräväinen}, Forum Math. Sigma 10, Paper No. e57, 17 p. (2022; Zbl 1501.11094) Full Text: DOI arXiv
Fan, Kai (Steve) An inequality for the distribution of numbers free of small prime factors. (English) Zbl 1517.11122 Integers 22, Paper A26, 12 p. (2022). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N25 PDF BibTeX XML Cite \textit{K. Fan}, Integers 22, Paper A26, 12 p. (2022; Zbl 1517.11122) Full Text: Link
Alkan, Emre A generalization of the Hardy-Littlewood conjecture. (English) Zbl 1502.11097 Integers 22, Paper A53, 21 p. (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N05 11M41 PDF BibTeX XML Cite \textit{E. Alkan}, Integers 22, Paper A53, 21 p. (2022; Zbl 1502.11097) Full Text: Link
Carneiro, Emanuel; Chirre, Andrés; Helfgott, Harald Andrés; Mejía-Cordero, Julián Optimality for the two-parameter quadratic sieve. (English) Zbl 1501.11092 Acta Arith. 203, No. 3, 195-226 (2022). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N35 11N37 PDF BibTeX XML Cite \textit{E. Carneiro} et al., Acta Arith. 203, No. 3, 195--226 (2022; Zbl 1501.11092) Full Text: DOI arXiv
Ding, Yuchen Extending an Erdős result on a Romanov type problem. (English) Zbl 1492.11141 Arch. Math. 118, No. 6, 587-592 (2022). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11P32 11A41 11B13 11P70 PDF BibTeX XML Cite \textit{Y. Ding}, Arch. Math. 118, No. 6, 587--592 (2022; Zbl 1492.11141) Full Text: DOI
Brumley, Farrell; Thorner, Jesse; Zaman, Asif; Bushnell, Colin J.; Henniart, Guy Zeros of Rankin-Selberg \(L\)-functions at the edge of the critical strip. (English) Zbl 1512.11046 J. Eur. Math. Soc. (JEMS) 24, No. 5, 1471-1541 (2022). Reviewer: Sami Omar (Sukhair) MSC: 11F66 11M41 11F67 PDF BibTeX XML Cite \textit{F. Brumley} et al., J. Eur. Math. Soc. (JEMS) 24, No. 5, 1471--1541 (2022; Zbl 1512.11046) Full Text: DOI arXiv
Friedlander, John; Iwaniec, Henryk Coordinate distribution of Gaussian primes. (English) Zbl 1491.11083 J. Eur. Math. Soc. (JEMS) 24, No. 3, 737-772 (2022). Reviewer: Gregory Debruyne (Champaign) MSC: 11N32 11N36 PDF BibTeX XML Cite \textit{J. Friedlander} and \textit{H. Iwaniec}, J. Eur. Math. Soc. (JEMS) 24, No. 3, 737--772 (2022; Zbl 1491.11083) Full Text: DOI arXiv
Baluyot, Siegfred; Pratt, Kyle Dirichlet \(L\)-functions of quadratic characters of prime conductor at the central point. (English) Zbl 1505.11114 J. Eur. Math. Soc. (JEMS) 24, No. 2, 369-460 (2022). Reviewer: Robert W. van der Waall (Huizen) MSC: 11M20 11N36 11R42 11M06 11F67 11-01 11M41 11F66 11G40 PDF BibTeX XML Cite \textit{S. Baluyot} and \textit{K. Pratt}, J. Eur. Math. Soc. (JEMS) 24, No. 2, 369--460 (2022; Zbl 1505.11114) Full Text: DOI arXiv
Ma, Qiang Cancellation of two classes of Dirichlet coefficients over Beatty sequences. (English) Zbl 1498.11141 Can. Math. Bull. 65, No. 1, 234-252 (2022). MSC: 11F67 11F70 11B83 PDF BibTeX XML Cite \textit{Q. Ma}, Can. Math. Bull. 65, No. 1, 234--252 (2022; Zbl 1498.11141) Full Text: DOI
Li, Jinjiang; Zhang, Min; Xue, Fei An additive problem over Piatetski-Shapiro primes and almost-primes. (English) Zbl 07493918 Ramanujan J. 57, No. 4, 1307-1333 (2022). MSC: 11L07 11L20 11P32 11N36 PDF BibTeX XML Cite \textit{J. Li} et al., Ramanujan J. 57, No. 4, 1307--1333 (2022; Zbl 07493918) Full Text: DOI arXiv
Pomerance, Carl; Weingartner, Andreas On primes and practical numbers. (English) Zbl 1505.11121 Ramanujan J. 57, No. 3, 981-1000 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N25 11N37 PDF BibTeX XML Cite \textit{C. Pomerance} and \textit{A. Weingartner}, Ramanujan J. 57, No. 3, 981--1000 (2022; Zbl 1505.11121) Full Text: DOI arXiv Backlinks: MO
Humphries, Peter; Thorner, Jesse Towards a \(\mathrm{GL}_n\) variant of the Hoheisel phenomenon. (English) Zbl 1495.11063 Trans. Am. Math. Soc. 375, No. 3, 1801-1824 (2022). Reviewer: Sami Omar (Sukhair) MSC: 11F66 PDF BibTeX XML Cite \textit{P. Humphries} and \textit{J. Thorner}, Trans. Am. Math. Soc. 375, No. 3, 1801--1824 (2022; Zbl 1495.11063) Full Text: DOI arXiv
Li, Xiannan Prime values of a sparse polynomial sequence. (English) Zbl 1489.11144 Duke Math. J. 171, No. 1, 101-208 (2022). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N32 11N36 PDF BibTeX XML Cite \textit{X. Li}, Duke Math. J. 171, No. 1, 101--208 (2022; Zbl 1489.11144) Full Text: DOI arXiv
Fouvry, Étienne; Tenenbaum, Gérald Multiplicative functions in large arithmetic progressions and applications. (English) Zbl 1491.11084 Trans. Am. Math. Soc. 375, No. 1, 245-299 (2022). Reviewer: Yong-Gao Chen (Nanjing) MSC: 11N37 11N25 11N36 11N60 PDF BibTeX XML Cite \textit{É. Fouvry} and \textit{G. Tenenbaum}, Trans. Am. Math. Soc. 375, No. 1, 245--299 (2022; Zbl 1491.11084) Full Text: DOI arXiv
Shao, Xuancheng; Teräväinen, Joni The Bombieri-Vinogradov theorem for nilsequences. (English) Zbl 1483.11203 Discrete Anal. 2021, Paper No. 21, 55 p. (2021). MSC: 11N13 11B30 11L20 PDF BibTeX XML Cite \textit{X. Shao} and \textit{J. Teräväinen}, Discrete Anal. 2021, Paper No. 21, 55 p. (2021; Zbl 1483.11203) Full Text: DOI arXiv
Yau, Kam Hung Representation of an integer as the sum of a prime in arithmetic progression and a square-free integer. (English) Zbl 1483.11221 Funct. Approximatio, Comment. Math. 64, No. 1, 77-108 (2021). Reviewer: Maurizio Laporta (Napoli) MSC: 11P32 11P55 11T23 PDF BibTeX XML Cite \textit{K. H. Yau}, Funct. Approximatio, Comment. Math. 64, No. 1, 77--108 (2021; Zbl 1483.11221) Full Text: DOI arXiv
Brüdern, J.; Soundararajan, K. Common divisors of totients of polynomial sequences. (English) Zbl 1482.11127 Math. Z. 299, No. 1-2, 527-542 (2021). Reviewer: Florian Luca (Johannesburg) MSC: 11N32 11N35 11A05 PDF BibTeX XML Cite \textit{J. Brüdern} and \textit{K. Soundararajan}, Math. Z. 299, No. 1--2, 527--542 (2021; Zbl 1482.11127) Full Text: DOI arXiv Backlinks: MO
Merikoski, Jori Large prime factors on short intervals. (English) Zbl 1486.11113 Math. Proc. Camb. Philos. Soc. 170, No. 1, 1-50 (2021). Reviewer: Joni Teräväinen (Turku) MSC: 11N05 PDF BibTeX XML Cite \textit{J. Merikoski}, Math. Proc. Camb. Philos. Soc. 170, No. 1, 1--50 (2021; Zbl 1486.11113) Full Text: DOI arXiv
Peluse, Sarah An asymptotic version of the prime power conjecture for perfect difference sets. (English) Zbl 1511.11006 Math. Ann. 380, No. 3-4, 1387-1425 (2021). Reviewer: Kaisa Matomäki (Turku) MSC: 11B13 05B10 11N36 PDF BibTeX XML Cite \textit{S. Peluse}, Math. Ann. 380, No. 3--4, 1387--1425 (2021; Zbl 1511.11006) Full Text: DOI arXiv
Chamizo, Fernando; Jiménez Urroz, Jorge Primes represented by quadratic polynomials via exceptional characters. (English) Zbl 1479.11167 Arch. Math. 117, No. 2, 147-154 (2021). MSC: 11N32 11N35 11M20 PDF BibTeX XML Cite \textit{F. Chamizo} and \textit{J. Jiménez Urroz}, Arch. Math. 117, No. 2, 147--154 (2021; Zbl 1479.11167) Full Text: DOI arXiv
Sardari, Naser Talebizadeh The least prime number represented by a binary quadratic form. (English) Zbl 1475.11057 J. Eur. Math. Soc. (JEMS) 23, No. 4, 1161-1223 (2021). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11E16 11N36 11F37 11F27 11R29 PDF BibTeX XML Cite \textit{N. T. Sardari}, J. Eur. Math. Soc. (JEMS) 23, No. 4, 1161--1223 (2021; Zbl 1475.11057) Full Text: DOI arXiv
Eberhard, Sean; Varjú, Péter P. Mixing time of the Chung-Diaconis-Graham random process. (English) Zbl 1478.60201 Probab. Theory Relat. Fields 179, No. 1-2, 317-344 (2021). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60J10 11N36 PDF BibTeX XML Cite \textit{S. Eberhard} and \textit{P. P. Varjú}, Probab. Theory Relat. Fields 179, No. 1--2, 317--344 (2021; Zbl 1478.60201) Full Text: DOI arXiv
Ford, Kevin; Konyagin, Sergey; Maynard, James; Pomerance, Carl Bernard; Tao, Terence Long gaps in sieved sets. (English) Zbl 1468.11197 J. Eur. Math. Soc. (JEMS) 23, No. 2, 667-700 (2021); corrigendum ibid. 25, No. 6, 2483-2485 (2023). Reviewer: Florian Luca (Johannesburg) MSC: 11N35 11N32 11B05 PDF BibTeX XML Cite \textit{K. Ford} et al., J. Eur. Math. Soc. (JEMS) 23, No. 2, 667--700 (2021; Zbl 1468.11197) Full Text: DOI arXiv
Thorner, Jesse; Zaman, Asif An unconditional \(\mathrm{GL}_n\) large sieve. (English) Zbl 1468.11113 Adv. Math. 378, Article ID 107529, 25 p. (2021). Reviewer: Nils Matthes (Oxford) MSC: 11F66 11F67 11M41 11R44 11F70 PDF BibTeX XML Cite \textit{J. Thorner} and \textit{A. Zaman}, Adv. Math. 378, Article ID 107529, 25 p. (2021; Zbl 1468.11113) Full Text: DOI arXiv
Mangerel, Alexander P. On the bivariate Erdős-Kac theorem and correlations of the Möbius function. (English) Zbl 1489.11153 Math. Proc. Camb. Philos. Soc. 169, No. 3, 547-605 (2020). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N60 11N36 11N25 11N37 PDF BibTeX XML Cite \textit{A. P. Mangerel}, Math. Proc. Camb. Philos. Soc. 169, No. 3, 547--605 (2020; Zbl 1489.11153) Full Text: DOI arXiv
Cao, Yang; Huang, Zhizhong Arithmetic purity of strong approximation for semi-simple simply connected groups. (English) Zbl 1484.11145 Compos. Math. 156, No. 12, 2628-2649 (2020). Reviewer: David McKinnon (Waterloo) MSC: 11G35 11N35 20G15 14G05 20G30 14L15 14G12 20G35 11N36 PDF BibTeX XML Cite \textit{Y. Cao} and \textit{Z. Huang}, Compos. Math. 156, No. 12, 2628--2649 (2020; Zbl 1484.11145) Full Text: DOI arXiv
Spiegelhofer, Lukas The level of distribution of the Thue-Morse sequence. (English) Zbl 1468.11206 Compos. Math. 156, No. 12, 2560-2587 (2020). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N69 11B25 11B85 11A63 11K16 11B83 PDF BibTeX XML Cite \textit{L. Spiegelhofer}, Compos. Math. 156, No. 12, 2560--2587 (2020; Zbl 1468.11206) Full Text: DOI arXiv
Lam, Peter Cho-ho; Schindler, Damaris; Xiao, Stanley Yao On prime values of binary quadratic forms with a thin variable. (English) Zbl 1480.11112 J. Lond. Math. Soc., II. Ser. 102, No. 2, 749-772 (2020). Reviewer: Stephan Baier (Haora) MSC: 11N05 11N32 11N35 11N36 PDF BibTeX XML Cite \textit{P. C. h. Lam} et al., J. Lond. Math. Soc., II. Ser. 102, No. 2, 749--772 (2020; Zbl 1480.11112) Full Text: DOI arXiv
Merikoski, Jori Limit points of normalized prime gaps. (English) Zbl 1470.11234 J. Lond. Math. Soc., II. Ser. 102, No. 1, 99-124 (2020). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N05 11N36 PDF BibTeX XML Cite \textit{J. Merikoski}, J. Lond. Math. Soc., II. Ser. 102, No. 1, 99--124 (2020; Zbl 1470.11234) Full Text: DOI arXiv
Dunn, Alexander; Kerr, Bryce; Shparlinski, Igor E.; Zaharescu, Alexandru Bilinear forms in Weyl sums for modular square roots and applications. (English) Zbl 1469.11270 Adv. Math. 375, Article ID 107369, 58 p. (2020). MSC: 11L07 11E25 11K38 11L20 11N32 PDF BibTeX XML Cite \textit{A. Dunn} et al., Adv. Math. 375, Article ID 107369, 58 p. (2020; Zbl 1469.11270) Full Text: DOI arXiv
Holmes, David; Rome, Nick Fields of definition of rational curves of a given degree. (English. French summary) Zbl 1466.14029 J. Théor. Nombres Bordx. 32, No. 1, 291-310 (2020). Reviewer: B. Z. Moroz (Bonn) MSC: 14H10 14J70 14N35 11N36 11P55 14G05 PDF BibTeX XML Cite \textit{D. Holmes} and \textit{N. Rome}, J. Théor. Nombres Bordx. 32, No. 1, 291--310 (2020; Zbl 1466.14029) Full Text: DOI arXiv
Kerr, Bryce; Shparlinski, Igor E.; Yau, Kam Hung A refinement of the Burgess bound for character sums. (English) Zbl 1471.11229 Mich. Math. J. 69, No. 2, 227-240 (2020). Reviewer: Arjun Singh Chetry (Guwahati) MSC: 11L40 11N25 PDF BibTeX XML Cite \textit{B. Kerr} et al., Mich. Math. J. 69, No. 2, 227--240 (2020; Zbl 1471.11229) Full Text: DOI arXiv Euclid
Troupe, Lee Divisor sums representable as the sum of two squares. (English) Zbl 1476.11128 Proc. Am. Math. Soc. 148, No. 10, 4189-4202 (2020). MSC: 11N37 11A25 PDF BibTeX XML Cite \textit{L. Troupe}, Proc. Am. Math. Soc. 148, No. 10, 4189--4202 (2020; Zbl 1476.11128) Full Text: DOI arXiv
Wong, Peng-jie Bombieri-Vinogradov theorems for modular forms and applications. (English) Zbl 1445.11032 Mathematika 66, No. 1, 200-229 (2020). MSC: 11F30 11N36 PDF BibTeX XML Cite \textit{P.-j. Wong}, Mathematika 66, No. 1, 200--229 (2020; Zbl 1445.11032) Full Text: DOI
Matomäki, Kaisa; Shao, Xuancheng When the sieve works. II. (English) Zbl 1458.11139 J. Reine Angew. Math. 763, 1-24 (2020). Reviewer: László Tóth (Pécs) MSC: 11N35 11N36 11N05 PDF BibTeX XML Cite \textit{K. Matomäki} and \textit{X. Shao}, J. Reine Angew. Math. 763, 1--24 (2020; Zbl 1458.11139) Full Text: DOI arXiv Backlinks: MO
De la Bretèche, Régis; Drappeau, Sary Level of distribution of quadratic polynomials and an upper bound sieve for friable integers. (Niveau de répartition des polynômes quadratiques et crible majorant pour les entiers friables.) (French. English summary) Zbl 1458.11138 J. Eur. Math. Soc. (JEMS) 22, No. 5, 1577-1624 (2020). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N32 11N75 PDF BibTeX XML Cite \textit{R. De la Bretèche} and \textit{S. Drappeau}, J. Eur. Math. Soc. (JEMS) 22, No. 5, 1577--1624 (2020; Zbl 1458.11138) Full Text: DOI
Taniguchi, Takashi; Thorne, Frank Levels of distribution for sieve problems in prehomogeneous vector spaces. (English) Zbl 1455.11161 Math. Ann. 376, No. 3-4, 1537-1559 (2020). Reviewer: Takeyoshi Kogiso (Saitama) MSC: 11S90 11R16 11E76 PDF BibTeX XML Cite \textit{T. Taniguchi} and \textit{F. Thorne}, Math. Ann. 376, No. 3--4, 1537--1559 (2020; Zbl 1455.11161) Full Text: DOI arXiv
Garcia, Stephan Ramon; Luca, Florian; Shi, Kye; Udell, Gabe Primitive root bias for twin primes. II: Schinzel-type theorems for totient quotients and the sum-of-divisors function. (English) Zbl 1450.11002 J. Number Theory 208, 400-417 (2020). Reviewer: József Sándor (Cluj-Napoca) MSC: 11A07 11A41 11N05 11N37 11N56 PDF BibTeX XML Cite \textit{S. R. Garcia} et al., J. Number Theory 208, 400--417 (2020; Zbl 1450.11002) Full Text: DOI arXiv
Cojocaru, Alina Carmen Primes, elliptic curves and cyclic groups. (English) Zbl 1452.11069 Bucur, Alina (ed.) et al., Analytic methods in arithmetic geometry. Arizona winter school 2016, the University of Arizona, Tucson, AZ, USA, March 12–16, 2016. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (CRM). Contemp. Math. 740, 1-69 (2019). Reviewer: Maciej Ulas (Kraków) MSC: 11G05 14G05 PDF BibTeX XML Cite \textit{A. C. Cojocaru}, Contemp. Math. 740, 1--69 (2019; Zbl 1452.11069) Full Text: DOI Backlinks: MO
Bourgain, Jean; Kontorovich, Alex Beyond expansion. III: reciprocal geodesics. (English) Zbl 1447.11079 Duke Math. J. 168, No. 18, 3413-3435 (2019). Reviewer: Oleg Karpenkov (Liverpool) MSC: 11J70 11N36 37A44 PDF BibTeX XML Cite \textit{J. Bourgain} and \textit{A. Kontorovich}, Duke Math. J. 168, No. 18, 3413--3435 (2019; Zbl 1447.11079) Full Text: DOI arXiv Euclid
Vatwani, Akshaa Variants of equidistribution in arithmetic progression and the twin prime conjecture. (English) Zbl 1505.11126 Math. Z. 293, No. 1-2, 285-317 (2019). MSC: 11N37 11N13 PDF BibTeX XML Cite \textit{A. Vatwani}, Math. Z. 293, No. 1--2, 285--317 (2019; Zbl 1505.11126) Full Text: DOI
Granville, Andrew; Harper, Adam J.; Soundararajan, K. A new proof of Halász’s theorem, and its consequences. (English) Zbl 1443.11200 Compos. Math. 155, No. 1, 126-163 (2019). Reviewer: Eira J. Scourfield (Egham) MSC: 11N56 11M20 PDF BibTeX XML Cite \textit{A. Granville} et al., Compos. Math. 155, No. 1, 126--163 (2019; Zbl 1443.11200) Full Text: DOI arXiv
Friedlander, John B.; Iwaniec, Henryk Twin primes via exceptional characters. (English) Zbl 1468.11168 Pańkowski, Łukasz (ed.) et al., Number theory week 2017. Proceedings of the conference on the occasion of the 60th birthday of Jerzy Kaczorowski, Poznań, Poland, September 4–8, 2017. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 118, 95-105 (2019). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L20 11M20 PDF BibTeX XML Cite \textit{J. B. Friedlander} and \textit{H. Iwaniec}, Banach Cent. Publ. 118, 95--105 (2019; Zbl 1468.11168) Full Text: DOI arXiv
Lu, Yaming On almost primes of the form \(p + 2^\ell\). (English) Zbl 1472.11250 J. Number Theory 204, 264-278 (2019). MSC: 11N35 11P32 PDF BibTeX XML Cite \textit{Y. Lu}, J. Number Theory 204, 264--278 (2019; Zbl 1472.11250) Full Text: DOI
Soundararajan, Kannan; Thorner, Jesse Weak subconvexity without a Ramanujan hypothesis. (English) Zbl 1426.11053 Duke Math. J. 168, No. 7, 1231-1268 (2019). Reviewer: D. R. Heath-Brown (Garsington) MSC: 11F67 11F66 11M41 11N30 PDF BibTeX XML Cite \textit{K. Soundararajan} and \textit{J. Thorner}, Duke Math. J. 168, No. 7, 1231--1268 (2019; Zbl 1426.11053) Full Text: DOI arXiv Euclid
Granville, Andrew; Shao, Xuancheng Bombieri-Vinogradov for multiplicative functions, and beyond the \(x^{1/2}\)-barrier. (English) Zbl 1473.11185 Adv. Math. 350, 304-358 (2019). Reviewer: Valentin Blomer (Bonn) MSC: 11N37 PDF BibTeX XML Cite \textit{A. Granville} and \textit{X. Shao}, Adv. Math. 350, 304--358 (2019; Zbl 1473.11185) Full Text: DOI arXiv
Maynard, James Primes with restricted digits. (English) Zbl 1477.11167 Invent. Math. 217, No. 1, 127-218 (2019). Reviewer: Yong-Gao Chen (Nanjing) MSC: 11N05 11N36 11P55 PDF BibTeX XML Cite \textit{J. Maynard}, Invent. Math. 217, No. 1, 127--218 (2019; Zbl 1477.11167) Full Text: DOI arXiv
Browning, Tim; Loughran, Daniel Sieving rational points on varieties. (English) Zbl 1412.14015 Trans. Am. Math. Soc. 371, No. 8, 5757-5785 (2019). Reviewer: D. R. Heath-Brown (Garsington) MSC: 14G05 11G35 11N36 11P55 PDF BibTeX XML Cite \textit{T. Browning} and \textit{D. Loughran}, Trans. Am. Math. Soc. 371, No. 8, 5757--5785 (2019; Zbl 1412.14015) Full Text: DOI arXiv
Balister, Paul; Bollobás, Béla; Lee, Jonathan D.; Morris, Robert; Riordan, Oliver A note on Linnik’s theorem on quadratic non-residues. (English) Zbl 1447.11100 Arch. Math. 112, No. 4, 371-375 (2019). Reviewer: Stephan Baier (Haora) MSC: 11N36 11N69 11A15 PDF BibTeX XML Cite \textit{P. Balister} et al., Arch. Math. 112, No. 4, 371--375 (2019; Zbl 1447.11100) Full Text: DOI arXiv
Shparlinski, Igor E. On short products of primes in arithmetic progressions. (English) Zbl 1456.11179 Proc. Am. Math. Soc. 147, No. 3, 977-986 (2019). MSC: 11N25 11B25 11L07 11N36 PDF BibTeX XML Cite \textit{I. E. Shparlinski}, Proc. Am. Math. Soc. 147, No. 3, 977--986 (2019; Zbl 1456.11179) Full Text: DOI arXiv
Maier, Helmut; Singh, Saurabh Kumar On multiplicative functions with mean-value close to \(-1\) on primes. (English) Zbl 1415.11119 J. Number Theory 197, 89-105 (2019). Reviewer: Eira J. Scourfield (Egham) MSC: 11N25 11N36 11L03 PDF BibTeX XML Cite \textit{H. Maier} and \textit{S. K. Singh}, J. Number Theory 197, 89--105 (2019; Zbl 1415.11119) Full Text: DOI
Mastrostefano, Daniele Short intervals containing a prescribed number of primes. (English) Zbl 1445.11093 J. Number Theory 197, 49-61 (2019). Reviewer: Giovanni Coppola (Napoli) MSC: 11N05 11N36 PDF BibTeX XML Cite \textit{D. Mastrostefano}, J. Number Theory 197, 49--61 (2019; Zbl 1445.11093) Full Text: DOI arXiv
Drappeau, Sary; Maynard, James Sign changes of Kloosterman sums and exceptional characters. (English) Zbl 1455.11115 Proc. Am. Math. Soc. 147, No. 1, 61-75 (2019). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L05 11N36 11N75 11L20 11M20 PDF BibTeX XML Cite \textit{S. Drappeau} and \textit{J. Maynard}, Proc. Am. Math. Soc. 147, No. 1, 61--75 (2019; Zbl 1455.11115) Full Text: DOI arXiv
Akbary, Amir; Felix, Adam Tyler On the average value of a function of the residual index. (English) Zbl 1475.11171 Akbary, Amir (ed.) et al., Geometry, algebra, number theory, and their information technology applications. Toronto, Canada, June, 2016, and Kozhikode, India, August, 2016. Cham: Springer. Springer Proc. Math. Stat. 251, 19-37 (2018). MSC: 11N37 11A07 PDF BibTeX XML Cite \textit{A. Akbary} and \textit{A. T. Felix}, Springer Proc. Math. Stat. 251, 19--37 (2018; Zbl 1475.11171) Full Text: DOI
Friedlander, John; Iwaniec, Henryk On a theorem of Bredihin and Linnik. (English) Zbl 1447.11101 Chebyshevskiĭ Sb. 19, No. 3(67), 35-39 (2018). Reviewer: Florian Luca (Johannesburg) MSC: 11N37 11P32 PDF BibTeX XML Cite \textit{J. Friedlander} and \textit{H. Iwaniec}, Chebyshevskiĭ Sb. 19, No. 3(67), 35--39 (2018; Zbl 1447.11101) Full Text: DOI arXiv MNR
Tao, Terence; Ziegler, Tamar Polynomial patterns in the primes. (English) Zbl 1459.11030 Forum Math. Pi 6, Paper No. e1, 60 p. (2018). Reviewer: Florian Luca (Johannesburg) MSC: 11B30 11N32 PDF BibTeX XML Cite \textit{T. Tao} and \textit{T. Ziegler}, Forum Math. Pi 6, Paper No. e1, 60 p. (2018; Zbl 1459.11030) Full Text: DOI arXiv
Tao, Terence; Teräväinen, Joni Odd order cases of the logarithmically averaged Chowla conjecture. (English. French summary) Zbl 1441.11255 J. Théor. Nombres Bordx. 30, No. 3, 997-1015 (2018). Reviewer: Florian Luca (Johannesburg) MSC: 11N37 PDF BibTeX XML Cite \textit{T. Tao} and \textit{J. Teräväinen}, J. Théor. Nombres Bordx. 30, No. 3, 997--1015 (2018; Zbl 1441.11255) Full Text: DOI arXiv
Bilu, Yuri F.; Deshouillers, Jean-Marc; Gun, Sanoli; Luca, Florian Random ordering in modulus of consecutive Hecke eigenvalues of primitive forms. (English) Zbl 1444.11071 Compos. Math. 154, No. 11, 2441-2461 (2018). Reviewer: Ahmet Tekcan (Bursa) MSC: 11F30 11F11 11N36 PDF BibTeX XML Cite \textit{Y. F. Bilu} et al., Compos. Math. 154, No. 11, 2441--2461 (2018; Zbl 1444.11071) Full Text: DOI arXiv
Friedlander, J. B.; Iwaniec, H. A note on Dirichlet \(L\)-functions. (English) Zbl 1446.11160 Expo. Math. 36, No. 3-4, 343-350 (2018). MSC: 11M20 11R29 11N13 PDF BibTeX XML Cite \textit{J. B. Friedlander} and \textit{H. Iwaniec}, Expo. Math. 36, No. 3--4, 343--350 (2018; Zbl 1446.11160) Full Text: DOI arXiv
Klurman, Oleksiy; Mangerel, Alexander P. Rigidity theorems for multiplicative functions. (English) Zbl 1457.11131 Math. Ann. 372, No. 1-2, 651-697 (2018). MSC: 11N37 PDF BibTeX XML Cite \textit{O. Klurman} and \textit{A. P. Mangerel}, Math. Ann. 372, No. 1--2, 651--697 (2018; Zbl 1457.11131) Full Text: DOI arXiv
Schindler, D.; Sofos, E. Sarnak’s saturation problem for complete intersections. (English) Zbl 1454.11064 Mathematika 65, No. 1, 1-56 (2019). MSC: 11D72 11P32 PDF BibTeX XML Cite \textit{D. Schindler} and \textit{E. Sofos}, Mathematika 65, No. 1, 1--56 (2018; Zbl 1454.11064) Full Text: DOI arXiv
Lay, Jeffrey P. S. Improving an inequality for the divisor function. (English) Zbl 1404.11120 Bull. Aust. Math. Soc. 97, No. 3, 374-381 (2018). Reviewer: Gennady Bachman (Las Vegas) MSC: 11N56 11N36 11N37 PDF BibTeX XML Cite \textit{J. P. S. Lay}, Bull. Aust. Math. Soc. 97, No. 3, 374--381 (2018; Zbl 1404.11120) Full Text: DOI arXiv
Lewulis, Paweł Chen primes in arithmetic progressions. (English) Zbl 1406.11095 Acta Arith. 182, No. 4, 301-310 (2018). Reviewer: Lajos Hajdu (Debrecen) MSC: 11N05 11N35 11N36 PDF BibTeX XML Cite \textit{P. Lewulis}, Acta Arith. 182, No. 4, 301--310 (2018; Zbl 1406.11095) Full Text: DOI arXiv
Goudout, Élie Erdős-Kac theorem in almost all short intervals. (Théorème d’Erdős-Kac dans presque tous les petits intervalles.) (French. English summary) Zbl 1422.11194 Acta Arith. 182, No. 2, 101-116 (2018). MSC: 11N25 11N60 PDF BibTeX XML Cite \textit{É. Goudout}, Acta Arith. 182, No. 2, 101--116 (2018; Zbl 1422.11194) Full Text: DOI arXiv
Teräväinen, Joni The Goldbach problem for primes that are sums of two squares plus one. (English) Zbl 1428.11179 Mathematika 64, No. 1, 20-70 (2018). MSC: 11P32 11N32 11N36 PDF BibTeX XML Cite \textit{J. Teräväinen}, Mathematika 64, No. 1, 20--70 (2018; Zbl 1428.11179) Full Text: DOI arXiv
Kao, P.-H. Almost-prime polynomials at prime arguments. (English) Zbl 1420.11120 J. Number Theory 184, 85-106 (2018). MSC: 11N32 11N35 11N36 PDF BibTeX XML Cite \textit{P. H. Kao}, J. Number Theory 184, 85--106 (2018; Zbl 1420.11120) Full Text: DOI arXiv
Ching, Tak Wing Lagrange’s equation with one prime and three almost-primes. (English) Zbl 1433.11114 J. Number Theory 183, 442-465 (2018). MSC: 11P32 PDF BibTeX XML Cite \textit{T. W. Ching}, J. Number Theory 183, 442--465 (2018; Zbl 1433.11114) Full Text: DOI
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 PDF BibTeX XML Cite \textit{K. Ford} et al., J. Am. Math. Soc. 31, No. 1, 65--105 (2018; Zbl 1392.11071) Full Text: DOI arXiv
Friedlander, John B.; Iwaniec, Henryk The temptation of the exceptional characters. (English) Zbl 1497.11211 Montgomery, Hugh (ed.) et al., Exploring the Riemann zeta function. 190 years from Riemann’s birth. With a preface by Freeman J. Dyson. Cham: Springer. 67-81 (2017). MSC: 11M20 11N13 11N32 PDF BibTeX XML Cite \textit{J. B. Friedlander} and \textit{H. Iwaniec}, in: Exploring the Riemann zeta function. 190 years from Riemann's birth. With a preface by Freeman J. Dyson. Cham: Springer. 67--81 (2017; Zbl 1497.11211) Full Text: DOI
Murty, M. Ram; Vatwani, Akshaa A higher rank Selberg sieve with an additive twist and applications. (English) Zbl 1427.11088 Funct. Approximatio, Comment. Math. 57, No. 2, 151-184 (2017). MSC: 11N05 11N35 11N36 PDF BibTeX XML Cite \textit{M. R. Murty} and \textit{A. Vatwani}, Funct. Approximatio, Comment. Math. 57, No. 2, 151--184 (2017; Zbl 1427.11088) Full Text: DOI Euclid
Scholl, Travis Isolated elliptic curves and the MOV attack. (English) Zbl 1432.11066 J. Math. Cryptol. 11, No. 3, 131-146 (2017). MSC: 11G20 94A60 14H52 14K02 PDF BibTeX XML Cite \textit{T. Scholl}, J. Math. Cryptol. 11, No. 3, 131--146 (2017; Zbl 1432.11066) Full Text: DOI
Chow, Sam; Pomerance, Carl Triangles with prime hypotenuse. (English) Zbl 1426.11095 Res. Number Theory 3, Paper No. 21, 10 p. (2017). MSC: 11N25 11N05 11N36 PDF BibTeX XML Cite \textit{S. Chow} and \textit{C. Pomerance}, Res. Number Theory 3, Paper No. 21, 10 p. (2017; Zbl 1426.11095) Full Text: DOI arXiv Link
Murty, M. Ram; Vatwani, Akshaa Twin primes and the parity problem. (English) Zbl 1421.11075 J. Number Theory 180, 643-659 (2017). MSC: 11N35 11N05 11N13 PDF BibTeX XML Cite \textit{M. R. Murty} and \textit{A. Vatwani}, J. Number Theory 180, 643--659 (2017; Zbl 1421.11075) Full Text: DOI
Matomäki, Kaisa; Shao, Xuancheng Vinogradov’s three primes theorem with almost twin primes. (English) Zbl 1395.11120 Compos. Math. 153, No. 6, 1220-1256 (2017). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11P32 11P55 11N35 PDF BibTeX XML Cite \textit{K. Matomäki} and \textit{X. Shao}, Compos. Math. 153, No. 6, 1220--1256 (2017; Zbl 1395.11120) Full Text: DOI arXiv
Hanson, Brandon; Vaughan, Robert C.; Zhang, Ruixiang The least number with prescribed Legendre symbols and representation by binary quadratic forms of small discriminant. (English) Zbl 1405.11038 J. Number Theory 179, 3-16 (2017). MSC: 11E04 11A07 11D85 PDF BibTeX XML Cite \textit{B. Hanson} et al., J. Number Theory 179, 3--16 (2017; Zbl 1405.11038) Full Text: DOI
Heath-Brown, D. R.; Li, Xiannan Prime values of \(a^2 + p^4\). (English) Zbl 1405.11124 Invent. Math. 208, No. 2, 441-499 (2017). Reviewer: Stephan Baier (West Bengal) MSC: 11N32 11N37 11N36 PDF BibTeX XML Cite \textit{D. R. Heath-Brown} and \textit{X. Li}, Invent. Math. 208, No. 2, 441--499 (2017; Zbl 1405.11124) Full Text: DOI arXiv
Bourgain, Jean; Kontorovich, Alex Beyond expansion. II: Low-lying fundamental geodesics. (English) Zbl 1403.11054 J. Eur. Math. Soc. (JEMS) 19, No. 5, 1331-1359 (2017). Reviewer: Takao Komatsu (Wuhan) MSC: 11J70 11N36 37A45 PDF BibTeX XML Cite \textit{J. Bourgain} and \textit{A. Kontorovich}, J. Eur. Math. Soc. (JEMS) 19, No. 5, 1331--1359 (2017; Zbl 1403.11054) Full Text: DOI arXiv
Wu, Jie; Xi, Ping Quadratic polynomials at prime arguments. (English) Zbl 1365.11109 Math. Z. 285, No. 1-2, 631-646 (2017). Reviewer: Giovanni Coppola (Avellino) MSC: 11N32 11N13 11N36 PDF BibTeX XML Cite \textit{J. Wu} and \textit{P. Xi}, Math. Z. 285, No. 1--2, 631--646 (2017; Zbl 1365.11109) Full Text: DOI arXiv
Irving, Alastair James Cubic polynomials represented by norm forms. (English) Zbl 1360.11062 J. Reine Angew. Math. 723, 217-250 (2017). Reviewer: István Gaál (Debrecen) MSC: 11D57 11N36 14G05 PDF BibTeX XML Cite \textit{A. J. Irving}, J. Reine Angew. Math. 723, 217--250 (2017; Zbl 1360.11062) Full Text: DOI arXiv
Kurlberg, Pär; Rosenzweig, Lior Superscars for arithmetic toral point scatterers. (English) Zbl 1358.81110 Commun. Math. Phys. 349, No. 1, 329-360 (2017). MSC: 81Q50 37A25 35J10 46F10 81Q10 35P05 PDF BibTeX XML Cite \textit{P. Kurlberg} and \textit{L. Rosenzweig}, Commun. Math. Phys. 349, No. 1, 329--360 (2017; Zbl 1358.81110) Full Text: DOI arXiv
Yang, Liyang Diophantine inequalities involving a prime and an almost-prime. (English) Zbl 1409.11050 J. Number Theory 170, 347-367 (2017). MSC: 11J25 11N36 11N80 PDF BibTeX XML Cite \textit{L. Yang}, J. Number Theory 170, 347--367 (2017; Zbl 1409.11050) Full Text: DOI
Lu, Yaming Almost-primes represented by \(p+a^m\). (English) Zbl 1432.11138 Korean J. Math. 24, No. 1, 107-138 (2016). MSC: 11P32 11N36 PDF BibTeX XML Cite \textit{Y. Lu}, Korean J. Math. 24, No. 1, 107--138 (2016; Zbl 1432.11138) Full Text: DOI
Teräväinen, Joni Almost primes in almost all short intervals. (English) Zbl 1371.11132 Math. Proc. Camb. Philos. Soc. 161, No. 2, 247-281 (2016). MSC: 11N05 PDF BibTeX XML Cite \textit{J. Teräväinen}, Math. Proc. Camb. Philos. Soc. 161, No. 2, 247--281 (2016; Zbl 1371.11132) Full Text: DOI arXiv
Walker, Aled A multiplicative analogue of Schnirelmann’s theorem. (English) Zbl 1405.11126 Bull. Lond. Math. Soc. 48, No. 6, 1018-1028 (2016). MSC: 11N36 11D85 11T23 PDF BibTeX XML Cite \textit{A. Walker}, Bull. Lond. Math. Soc. 48, No. 6, 1018--1028 (2016; Zbl 1405.11126) Full Text: DOI arXiv
Tao, Terence The logarithmically averaged Chowla and Elliott conjectures for two-point correlations. (English) Zbl 1383.11116 Forum Math. Pi 4, Paper No. e8, 36 p. (2016). Reviewer: László Tóth (Pécs) MSC: 11N37 11P55 PDF BibTeX XML Cite \textit{T. Tao}, Forum Math. Pi 4, Paper No. e8, 36 p. (2016; Zbl 1383.11116) Full Text: DOI arXiv
Zaman, Asif On the least prime ideal and Siegel zeros. (English) Zbl 1352.11096 Int. J. Number Theory 12, No. 8, 2201-2229 (2016). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R37 11R44 11N36 11R42 PDF BibTeX XML Cite \textit{A. Zaman}, Int. J. Number Theory 12, No. 8, 2201--2229 (2016; Zbl 1352.11096) Full Text: DOI arXiv