Demeter, Ciprian; Guth, Larry; Wang, Hong [Heath-Brown, D. R.] Small cap decouplings. With an appendix by D. R. Heath-Brown. (English) Zbl 1454.42008 Geom. Funct. Anal. 30, No. 4, 989-1062 (2020). MSC: 42B10 42B37 11L07 PDFBibTeX XMLCite \textit{C. Demeter} et al., Geom. Funct. Anal. 30, No. 4, 989--1062 (2020; Zbl 1454.42008) Full Text: DOI
Bui, H. M.; Heath-Brown, D. R. On simple zeros of the Riemann zeta-function. (English) Zbl 1291.11118 Bull. Lond. Math. Soc. 45, No. 5, 953-961 (2013). Reviewer: K.-M. Tsang (Hong Kong) MSC: 11M26 11M06 PDFBibTeX XMLCite \textit{H. M. Bui} and \textit{D. R. Heath-Brown}, Bull. Lond. Math. Soc. 45, No. 5, 953--961 (2013; Zbl 1291.11118) Full Text: DOI arXiv
Heath-Brown, D. R. Convexity bounds for \(L\)-functions. (English) Zbl 1169.11038 Acta Arith. 136, No. 4, 391-395 (2009). Reviewer: Roma Kačinskaitė (Siauliai) MSC: 11M41 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Acta Arith. 136, No. 4, 391--395 (2009; Zbl 1169.11038) Full Text: DOI arXiv
Heath-Brown, D. R. Prime number theory and the Riemann zeta-function. (English) Zbl 1204.11144 Mezzadri, Francesco (ed.) et al., Recent perspectives in random matrix theory and number theory. Proceedings of a school that was part of the programme ‘Random matrix approaches in number theory’, Cambridge, UK, January 26–July 16, 2004. Cambridge: Cambridge University Press (ISBN 0-521-62058-9/pbk). London Mathematical Society Lecture Note Series 322, 1-30 (2005). Reviewer: Olaf Ninnemann (Berlin) MSC: 11M26 11M06 11N05 11-02 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Lond. Math. Soc. Lect. Note Ser. 322, 1--30 (2005; Zbl 1204.11144) Full Text: DOI
Heath-Brown, D. R. A mean value estimate for real character sums. (English) Zbl 0828.11040 Acta Arith. 72, No. 3, 235-275 (1995). Reviewer: D.R.Heath-Brown (Oxford) MSC: 11L40 11M26 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Acta Arith. 72, No. 3, 235--275 (1995; Zbl 0828.11040) Full Text: DOI EuDML
Heath-Brown, D. R.; Tsang, K.-M. Sign changes of \(E(T)\), \(\Delta(x)\), and \(P(x)\). (English) Zbl 0810.11046 J. Number Theory 49, No. 1, 73-83 (1994). Reviewer: Aleksandar Ivić (Beograd) MSC: 11M06 11N37 PDFBibTeX XMLCite \textit{D. R. Heath-Brown} and \textit{K. M. Tsang}, J. Number Theory 49, No. 1, 73--83 (1994; Zbl 0810.11046) Full Text: DOI
Heath-Brown, D. R. Zeros of the Riemann zeta-function on the critical line. (English) Zbl 0788.11037 Math. Z. 212, No. 2, 193-199 (1993). Reviewer: D.R.Heath-Brown (Oxford) MSC: 11M26 11M06 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Math. Z. 212, No. 2, 193--199 (1993; Zbl 0788.11037) Full Text: DOI EuDML
Heath-Brown, D. R. Fractional moments of the Riemann zeta-function. II. (English) Zbl 0798.11031 Q. J. Math., Oxf. II. Ser. 44, No. 174, 185-197 (1993). Reviewer: A.Perelli (Genova) MSC: 11M06 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Q. J. Math., Oxf. II. Ser. 44, No. 174, 185--197 (1993; Zbl 0798.11031) Full Text: DOI
Heath-Brown, D. R. Zero-free regions of \(\zeta (s)\) and \(L(s,\chi)\). (English) Zbl 0791.11042 Bombieri, E. (ed.) et al., Proceedings of the Amalfi conference on analytic number theory, held at Maiori, Amalfi, Italy, from 25 to 29 September, 1989. Salerno: Universitá di Salerno, 195-200 (1992). Reviewer: A.Perelli (Genova) MSC: 11M26 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, in: Proceedings of the Amalfi conference on analytic number theory, held at Maiori, Amalfi, Italy, from 25 to 29 September, 1989. Salerno: Universitá di Salerno. 195--200 (1992; Zbl 0791.11042)
Heath-Brown, D. R. The distribution and moments of the error term in the Dirichlet divisor problems. (English) Zbl 0725.11045 Acta Arith. 60, No. 4, 389-415 (1992). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N37 11P21 11M06 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Acta Arith. 60, No. 4, 389--415 (1992; Zbl 0725.11045) Full Text: DOI EuDML
Heath-Brown, D. R. The number of abelian groups of order at most \(x\). (English) Zbl 0749.11042 Journées arithmétiques, Luminy/Fr. 1989, Astérisque 198-200, 153-163 (1991). Reviewer: G. Kolesnik (Los Angeles) MSC: 11N45 11N37 11M06 20K99 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Astérisque 198--200, 153--163 (1991; Zbl 0749.11042)
Heath-Brown, D. R.; Huxley, M. N. Exponential sums with a difference. (English) Zbl 0675.10027 Proc. Lond. Math. Soc., III. Ser. 61, No. 2, 227-250 (1990). Reviewer: M.N.Huxley MSC: 11L40 11M06 PDFBibTeX XMLCite \textit{D. R. Heath-Brown} and \textit{M. N. Huxley}, Proc. Lond. Math. Soc. (3) 61, No. 2, 227--250 (1990; Zbl 0675.10027) 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 growth rate of the Dedekind zeta-function on the critical line. (English) Zbl 0583.12011 Acta Arith. 49, No. 4, 323-339 (1988); acknowledgment of priority ibid. 77, No. 4, 405 (1996). MSC: 11R42 11L40 11M06 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Acta Arith. 49, No. 4, 323--339 (1988; Zbl 0583.12011) Full Text: DOI EuDML
Titchmarsh, E. C. [Heath-Brown, D. R.] The theory of the Riemann zeta-function. 2nd ed., rev. by D. R. Heath-Brown. (English) Zbl 0601.10026 Oxford Science Publications. Oxford: Clarendon Press. x, 412 pp. £25.00 (1986). Reviewer: Aleksandar Ivić (Beograd) MSC: 11M06 11-02 11M26 11N37 11L03 PDFBibTeX XML
Conrey, J. B.; Ghosh, A.; Goldston, D.; Gonek, S. M.; Heath-Brown, D. R. On the distribution of gaps between zeros of the zeta-function. (English) Zbl 0557.10028 Q. J. Math., Oxf. II. Ser. 36, 43-51 (1985). Reviewer: A.Perelli MSC: 11M06 PDFBibTeX XMLCite \textit{J. B. Conrey} et al., Q. J. Math., Oxf. II. Ser. 36, 43--51 (1985; Zbl 0557.10028) Full Text: DOI
Balasubramanian, R.; Conrey, J. B.; Heath-Brown, D. R. Asymptotic mean square of the product of the Riemann zeta-function and a Dirichlet polynomial. (English) Zbl 0549.10030 J. Reine Angew. Math. 357, 161-181 (1985). Reviewer: Matti Jutila (Turku) MSC: 11M06 PDFBibTeX XMLCite \textit{R. Balasubramanian} et al., J. Reine Angew. Math. 357, 161--181 (1985; Zbl 0549.10030) Full Text: Crelle EuDML
Heath-Brown, D. R. The Riemann zeta-function. (English) Zbl 0489.10033 Journées arithmétiques, Exeter 1980, Lond. Math. Soc. Lect. Note Ser. 56, 83-91 (1982). Reviewer: Matti Jutila (Turku) MSC: 11M06 11-02 PDFBibTeX XML
Heath-Brown, D. R. Gaps between primes, and the pair correlation of zeros of the zeta-function. (English) Zbl 0414.10044 Acta Arith. 41, 85-99 (1982). MSC: 11N05 11M06 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Acta Arith. 41, 85--99 (1982; Zbl 0414.10044) Full Text: DOI EuDML
Heath-Brown, D. R. Mean values of the zeta-function and divisor problems. (English) Zbl 0457.10019 Recent progress in analytic number theory, Symp. Durham 1979, Vol. 1, 115-119 (1981). Reviewer: R. Heath-Brown MSC: 11M06 11N37 PDFBibTeX XML
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
Heath-Brown, D. R. Simple zeros of the Riemann zeta-function on the critical line. (English) Zbl 0409.10027 Bull. Lond. Math. Soc. 11, 17-18 (1979). MSC: 11M06 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Bull. Lond. Math. Soc. 11, 17--18 (1979; Zbl 0409.10027) Full Text: DOI
Heath-Brown, D. R. The fourth power moment of the Riemann zeta function. (English) Zbl 0403.10018 Proc. Lond. Math. Soc., III. Ser. 38, 385-422 (1979). MSC: 11M06 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Proc. Lond. Math. Soc. (3) 38, 385--422 (1979; Zbl 0403.10018) Full Text: DOI
Heath-Brown, D. R. Zero density estimates for the Riemann zeta-function and Dirichlet L-functions. (English) Zbl 0393.10043 J. Lond. Math. Soc., II. Ser. 19, 221-232 (1979). MSC: 11M06 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, J. Lond. Math. Soc., II. Ser. 19, 221--232 (1979; Zbl 0393.10043) Full Text: DOI
Heath-Brown, D. R. The mean value theorem for the Riemann zeta-function. (English) Zbl 0387.10023 Mathematika, London 25, 177-184 (1979). MSC: 11M06 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Mathematika 25, 177--184 (1979; Zbl 0387.10023) Full Text: DOI
Heath-Brown, D. R. On a paper of Baker and Schinzel. (English) Zbl 0341.10021 Acta Arith. 35, 203-207 (1979). MSC: 11E16 11M35 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Acta Arith. 35, 203--207 (1979; Zbl 0341.10021) Full Text: DOI EuDML
Heath-Brown, D. R. The twelfth power moment of the Riemann-function. (English) Zbl 0394.10020 Q. J. Math., Oxf. II. Ser. 29, 443-462 (1978). MSC: 11M06 PDFBibTeX XMLCite \textit{D. R. Heath-Brown}, Q. J. Math., Oxf. II. Ser. 29, 443--462 (1978; Zbl 0394.10020) Full Text: DOI