Heath-Brown, D. R. The differences between consecutive smooth numbers. (English) Zbl 1446.11173 Acta Arith. 184, No. 3, 267-285 (2018). Reviewer: Florian Luca (Johannesburg) MSC: 11N25 11N36 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Acta Arith. 184, No. 3, 267--285 (2018; Zbl 1446.11173) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{D. R. Heath-Brown} and \textit{X. Li}, Invent. Math. 208, No. 2, 441--499 (2017; Zbl 1405.11124) Full Text: DOI arXiv
Heath-Brown, Roger; Li, Xiannan Almost prime triples and Chen’s theorem. (English) Zbl 1390.11109 J. Number Theory 169, 265-294 (2016). Reviewer: Eira J. Scourfield (Egham) MSC: 11N25 11N36 PDFBibTeX XMLCite \textit{R. Heath-Brown} and \textit{X. Li}, J. Number Theory 169, 265--294 (2016; Zbl 1390.11109) Full Text: DOI arXiv
Heath-Brown, D. R. Imaginary quadratic fields with class group exponent 5. (English) Zbl 1268.11150 Forum Math. 20, No. 2, 275-283 (2008). Reviewer: Lillian Beatrix Pierce (Bonn) MSC: 11R29 11L07 11R47 11N36 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Forum Math. 20, No. 2, 275--283 (2008; Zbl 1268.11150) Full Text: DOI
Heath-Brown, D. R.; Praeger, Cheryl E.; Shalev, Aner Permutation groups, simple groups, and sieve methods. (English) Zbl 1091.11035 Isr. J. Math. 148, 347-375 (2005). Reviewer: Mohammad-Reza Darafsheh (Tehran) MSC: 11N45 11N36 20D06 PDFBibTeX XMLCite \textit{D. R. Heath-Brown} et al., Isr. J. Math. 148, 347--375 (2005; Zbl 1091.11035) Full Text: DOI
Heath-Brown, D. R.; Moroz, B. Z. On the representation of primes by cubic polynomials in two variables. (English) Zbl 1099.11050 Proc. Lond. Math. Soc. (3) 88, No. 2, 289-312 (2004). Reviewer: Angel V. Kumchev (Towson) MSC: 11N32 11N36 11R44 PDFBibTeX XMLCite \textit{D. R. Heath-Brown} and \textit{B. Z. Moroz}, Proc. Lond. Math. Soc. (3) 88, No. 2, 289--312 (2004; Zbl 1099.11050) Full Text: DOI
Heath-Brown, D. R. Lectures on sieves. (English) Zbl 1070.11045 Heath-Brown, D. R. (ed.) et al., Proceedings of the session in analytic number theory and Diophantine equations held in Bonn, Germany, January–June, 2002. Bonn: Univ. Bonn, Mathematisches Institut. Bonner Mathematische Schriften 360, 50 p. (2003). Reviewer: Aleksandar Ivić (Beograd) MSC: 11N35 11N36 11-02 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Bonn. Math. Schr. 360, 50 p. (2003; Zbl 1070.11045) Full Text: arXiv
Heath-Brown, D. R.; Jia, Chaohua The distribution of \(\alpha p\) modulo one. (English) Zbl 1023.11034 Proc. Lond. Math. Soc., III. Ser. 84, No. 1, 79-104 (2002). Reviewer: Dieter Leitmann (Garbsen) MSC: 11J71 11N36 11K06 PDFBibTeX XMLCite \textit{D. R. Heath-Brown} and \textit{C. Jia}, Proc. Lond. Math. Soc. (3) 84, No. 1, 79--104 (2002; Zbl 1023.11034) Full Text: DOI
Heath-Brown, D. R.; Moroz, B. Z. Primes represented by binary cubic forms. (English) Zbl 1030.11046 Proc. Lond. Math. Soc. (3) 84, No. 2, 257-288 (2002). Reviewer: B.Z.Moroz (Bonn) MSC: 11N32 11N36 11R44 PDFBibTeX XML Full Text: DOI
Heath-Brown, D. R. The largest prime factor of \(X^3+2\). (English) Zbl 1023.11048 Proc. Lond. Math. Soc., III. Ser. 82, No. 3, 554-596 (2001). Reviewer: Sidney W.Graham (Mount Pleasant) MSC: 11N32 11L07 11N36 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Proc. Lond. Math. Soc. (3) 82, No. 3, 554--596 (2001; Zbl 1023.11048) Full Text: DOI
Heath-Brown, D. R. Primes represented by \(x^3+ 2y^3\). (English) Zbl 1007.11055 Acta Math. 186, No. 1, 1-84 (2001). Reviewer: Daniel Goldston (San Jose) MSC: 11N32 11N36 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Acta Math. 186, No. 1, 1--84 (2001; Zbl 1007.11055) Full Text: DOI
Heath-Brown, D. R. Kummer’s conjecture for cubic Gauss sums. (English) Zbl 0989.11042 Isr. J. Math. 120, Pt. A, 97-124 (2000). Reviewer: Samuel James Patterson (Göttingen) MSC: 11L05 11R47 11M41 11N36 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Isr. J. Math. 120, Part A, 97--124 (2000; Zbl 0989.11042) Full Text: DOI Link
Heath-Brown, D. R.; Jia, Chaohua The largest prime factor of the integers in an interval. II. (English) Zbl 1066.11506 J. Reine Angew. Math. 498, 35-59 (1998). Reviewer: Florin Nicolae (Berlin) MSC: 11N36 11N25 PDFBibTeX XMLCite \textit{D. R. Heath-Brown} and \textit{C. Jia}, J. Reine Angew. Math. 498, 35--59 (1998; Zbl 1066.11506) Full Text: DOI
Heath-Brown, D. R. Almost-prime \(k\)-tuples. (English) Zbl 0886.11052 Mathematika 44, No. 2, 245-266 (1997). Reviewer: D.R.Heath-Brown (Oxford) MSC: 11N25 11N35 11N36 PDFBibTeX XML Full Text: DOI
Heath-Brown, D. R. Differences between consecutive primes. (English) Zbl 0639.10027 Jahresber. Dtsch. Math.-Ver. 90, No. 2, 71-89 (1988). Reviewer: T.M.Apostol MSC: 11N05 11-02 11M06 11N35 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Jahresber. Dtsch. Math.-Ver. 90, No. 2, 71--89 (1988; Zbl 0639.10027)
Heath-Brown, D. R. The first case of Fermat’s last theorem. (English) Zbl 0574.10022 Math. Intell. 7, No. 4, 40-47, 55 (1985). Reviewer: G.Greaves MSC: 11D41 11N35 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Math. Intell. 7, No. 4, 40--47, 55 (1985; Zbl 0574.10022) Full Text: DOI
Heath-Brown, D. R. Finding primes by sieve methods. (English) Zbl 0565.10039 Proc. Int. Congr. Math., Warszawa 1983, Vol. 1, 487-492 (1984). Reviewer: A.Balog MSC: 11N05 11N35 PDFBibTeX XML
Heath-Brown, D. R. The divisor function at consecutive integers. (English) Zbl 0529.10040 Mathematika 31, 141-149 (1984). MSC: 11N36 11N56 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Mathematika 31, 141--149 (1984; Zbl 0529.10040) Full Text: DOI
Heath-Brown, D. R. Prime twins and Siegel zeros. (English) Zbl 0517.10044 Proc. Lond. Math. Soc., III. Ser. 47, 193-224 (1983). Reviewer: Matti Jutila (Turku) MSC: 11M06 11N05 11N36 11L05 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Proc. Lond. Math. Soc. (3) 47, 193--224 (1983; Zbl 0517.10044) Full Text: DOI
Heath-Brown, D. R. Representation of an integer as a prime plus a product of two small factors. (English) Zbl 0452.10044 Math. Proc. Camb. Philos. Soc. 89, 29-33 (1981). Reviewer: Matti Jutila (Turku) MSC: 11P32 11N36 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Math. Proc. Camb. Philos. Soc. 89, 29--33 (1981; Zbl 0452.10044) Full Text: DOI
Heath-Brown, D. R. Differences between consecutive primes. (English) Zbl 0439.10030 Sémin. Théor. Nombres 1979-1980, Exp. No. 14, 7 p. (1980). MSC: 11N05 11N35 PDFBibTeX XML Full Text: EuDML