Baker, Roger; Harman, Glyn Representing an integer as the sum of a prime and the product of two small factors. (English) Zbl 1523.11164 Mathematika 67, No. 2, 447-467 (2021). MSC: 11N13 11N36 11P32 PDFBibTeX XMLCite \textit{R. Baker} and \textit{G. Harman}, Mathematika 67, No. 2, 447--467 (2021; Zbl 1523.11164) Full Text: DOI arXiv
Harman, Glyn Diophantine approximation with Goldbach numbers. (English) Zbl 1473.11143 Funct. Approximatio, Comment. Math. 63, No. 2, 151-163 (2020). MSC: 11J71 11L20 11N36 11P32 PDFBibTeX XMLCite \textit{G. Harman}, Funct. Approximatio, Comment. Math. 63, No. 2, 151--163 (2020; Zbl 1473.11143) Full Text: DOI
Harman, Glyn Diophantine approximation with Hardy-Littlewood numbers. (English) Zbl 1446.11135 Mathematika 66, No. 1, 1-14 (2020). Reviewer: Mehdi Hassani (Zanjan) MSC: 11J71 11N36 11P32 PDFBibTeX XMLCite \textit{G. Harman}, Mathematika 66, No. 1, 1--14 (2020; Zbl 1446.11135) Full Text: DOI
Harman, Glyn Primes in Beatty sequences in short intervals. (English) Zbl 1350.11084 Mathematika 62, No. 2, 572-586 (2016). Reviewer: Eira J. Scourfield (Egham) MSC: 11N13 11N36 PDFBibTeX XMLCite \textit{G. Harman}, Mathematika 62, No. 2, 572--586 (2016; Zbl 1350.11084) Full Text: DOI
Harman, Glyn Primes whose sum of digits is prime and metric number theory. (English) Zbl 1286.11117 Bull. Lond. Math. Soc. 44, No. 5, 1042-1049 (2012). Reviewer: Clemens Heuberger (Klagenfurt) MSC: 11K16 11N36 PDFBibTeX XMLCite \textit{G. Harman}, Bull. Lond. Math. Soc. 44, No. 5, 1042--1049 (2012; Zbl 1286.11117) Full Text: DOI
Harman, Glyn; Kumchev, Angel On sums of squares of primes. II. (English) Zbl 1204.11161 J. Number Theory 130, No. 9, 1969-2002 (2010). Reviewer: Giovanni Coppola (Avellino) MSC: 11P32 11N36 11L07 PDFBibTeX XMLCite \textit{G. Harman} and \textit{A. Kumchev}, J. Number Theory 130, No. 9, 1969--2002 (2010; Zbl 1204.11161) Full Text: DOI arXiv
Baker, Roger; Harman, Glyn Numbers with a large prime factor. II. (English) Zbl 1230.11114 Chen, W. W. L. (ed.) et al., Analytic number theory. Essays in honour of Klaus Roth on the occasion of his 80th birthday. Cambridge: Cambridge University Press (ISBN 978-0-521-51538-2/hbk). 1-14 (2009). Reviewer: Roger Heath-Brown (Oxford) MSC: 11N25 11N05 11N36 PDFBibTeX XMLCite \textit{R. Baker} and \textit{G. Harman}, in: Analytic number theory. Essays in honour of Klaus Roth on the occasion of his 80th birthday. Cambridge: Cambridge University Press. 1--14 (2009; Zbl 1230.11114)
Everest, Graham; Harman, Glyn On primitive divisors of \(n^2 + b\). (English) Zbl 1266.11099 McKee, James (ed.) et al., Number theory and polynomials. Proceedings of the workshop, Bristol, UK, April 3–7, 2006. Cambridge: Cambridge University Press (ISBN 978-0-521-71467-9/pbk). London Mathematical Society Lecture Note Series 352, 142-154 (2008). MSC: 11N36 11B05 11B83 PDFBibTeX XMLCite \textit{G. Everest} and \textit{G. Harman}, Lond. Math. Soc. Lect. Note Ser. 352, 142--154 (2008; Zbl 1266.11099) Full Text: DOI arXiv
Harman, Glyn; Matomäki, Kaisa Some problems of analytic number theory on arithmetic semigroups. (English) Zbl 1231.11114 Funct. Approximatio, Comment. Math. 38, Part 1, 21-39 (2008). Reviewer: Christian Elsholtz (Graz) MSC: 11N25 11N36 PDFBibTeX XMLCite \textit{G. Harman} and \textit{K. Matomäki}, Funct. Approximatio, Comment. Math. 38, Part 1, 21--39 (2008; Zbl 1231.11114) Full Text: DOI Euclid
Harman, Glyn Watt’s mean value theorem and Carmichael numbers. (English) Zbl 1221.11194 Int. J. Number Theory 4, No. 2, 241-248 (2008). Reviewer: Olaf Ninnemann (Berlin) MSC: 11N13 11N36 PDFBibTeX XMLCite \textit{G. Harman}, Int. J. Number Theory 4, No. 2, 241--248 (2008; Zbl 1221.11194) Full Text: DOI
Harman, Glyn Prime-detecting sieves. (English) Zbl 1220.11118 London Mathematical Society Monographs Series 33. Princeton, NJ: Princeton University Press (ISBN 978-0-691-12437-7/hbk). xiv, 362 p. (2007). Reviewer: Roger Heath-Brown (Oxford) MSC: 11N36 11N35 11N05 11N25 11-02 PDFBibTeX XMLCite \textit{G. Harman}, Prime-detecting sieves. Princeton, NJ: Princeton University Press (2007; Zbl 1220.11118)
Alkan, Emre; Harman, Glyn; Zaharescu, Alexandru Diophantine approximation with mild divisibility constraints. (English) Zbl 1093.11053 J. Number Theory 118, No. 1, 1-14 (2006). Reviewer: Angel V. Kumchev (Towson) MSC: 11J25 11N25 11N36 PDFBibTeX XMLCite \textit{E. Alkan} et al., J. Number Theory 118, No. 1, 1--14 (2006; Zbl 1093.11053) Full Text: DOI
Harman, Glyn; Kumchev, Angel V. On sums of squares of primes. (English) Zbl 1114.11079 Math. Proc. Camb. Philos. Soc. 140, No. 1, 1-13 (2006). Reviewer: Jianya Liu (Jinan) MSC: 11P32 11P55 11N36 11L07 PDFBibTeX XMLCite \textit{G. Harman} and \textit{A. V. Kumchev}, Math. Proc. Camb. Philos. Soc. 140, No. 1, 1--13 (2006; Zbl 1114.11079) Full Text: DOI
Harman, Glyn On the number of Carmichael numbers up to \(x\). (English) Zbl 1108.11065 Bull. Lond. Math. Soc. 37, No. 5, 641-650 (2005). Reviewer: Angel V. Kumchev (Towson) MSC: 11N25 11N13 11A51 11N36 PDFBibTeX XMLCite \textit{G. Harman}, Bull. Lond. Math. Soc. 37, No. 5, 641--650 (2005; Zbl 1108.11065) Full Text: DOI
Harman, Glyn The values of ternary quadratic forms at prime arguments. (English) Zbl 1107.11043 Mathematika 51, No. 1-2, 83-96 (2004). Reviewer: Angel V. Kumchev (Towson) MSC: 11P32 11D75 11N36 PDFBibTeX XMLCite \textit{G. Harman}, Mathematika 51, No. 1--2, 83--96 (2004; Zbl 1107.11043) Full Text: DOI
Harman, G.; Kumchev, A.; Lewis, P. A. The distribution of prime ideals of imaginary quadratic fields. (English) Zbl 1030.11061 Trans. Am. Math. Soc. 356, No. 2, 599-620 (2004). Reviewer: Jürgen Hinz (Marburg) MSC: 11R44 11N32 11N36 PDFBibTeX XMLCite \textit{G. Harman} et al., Trans. Am. Math. Soc. 356, No. 2, 599--620 (2004; Zbl 1030.11061) Full Text: DOI
Harman, Glyn; Lewis, Philip Gaussian primes in narrow sectors. (English) Zbl 1035.11043 Mathematika 48, No. 1-2, 119-135 (2001). Reviewer: Jürgen Hinz (Marburg) MSC: 11N36 11R47 PDFBibTeX XMLCite \textit{G. Harman} and \textit{P. Lewis}, Mathematika 48, No. 1--2, 119--135 (2001; Zbl 1035.11043) Full Text: DOI
Baker, R. C.; Harman, G.; Pintz, J. The difference between consecutive primes. II. (English) Zbl 1016.11037 Proc. Lond. Math. Soc., III. Ser. 83, No. 3, 532-562 (2001). Reviewer: Roger Heath-Brown (Oxford) MSC: 11N05 11N36 PDFBibTeX XMLCite \textit{R. C. Baker} et al., Proc. Lond. Math. Soc. (3) 83, No. 3, 532--562 (2001; Zbl 1016.11037) Full Text: DOI Backlinks: MO
Baker, R. C.; Harman, G. The three primes theorem with almost equal summands. (English) Zbl 0907.11033 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 356, No. 1738, 763-780 (1998). Reviewer: P.Shiu (Loughborough) MSC: 11P32 11P55 11N36 11L07 11N25 PDFBibTeX XMLCite \textit{R. C. Baker} and \textit{G. Harman}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 356, No. 1738, 763--780 (1998; Zbl 0907.11033) Full Text: DOI
Baker, R. C.; Harman, G. Shifted primes without large prime factors. (English) Zbl 0994.11033 Acta Arith. 83, No. 4, 331-361 (1998). Reviewer: Peter Shiu (Loughborough) MSC: 11N25 11N13 11N36 PDFBibTeX XMLCite \textit{R. C. Baker} and \textit{G. Harman}, Acta Arith. 83, No. 4, 331--361 (1998; Zbl 0994.11033) Full Text: DOI EuDML
Harman, Glyn Eratosthenes, Legendre, Vinogradov and beyond. (English) Zbl 1013.11062 Greaves, G. R. H. (ed.) et al., Sieve methods, exponential sums, and their applications in number theory. Proceedings of a symposium, Cardiff, UK, July 17-21, 1995. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 237, 161-173 (1997). Reviewer: O.Ninnemann (Berlin) MSC: 11N36 11N05 11N35 PDFBibTeX XMLCite \textit{G. Harman}, Lond. Math. Soc. Lect. Note Ser. 237, 161--173 (1997; Zbl 1013.11062)
Baker, R. C.; Harman, G.; Pintz, J. The exeptional set for Goldbach’s problem in short intervals. (English) Zbl 0929.11042 Greaves, G. R. H. (ed.) et al., Sieve methods, exponential sums, and their applications in number theory. Proceedings of a symposium, Cardiff, UK, July 17–21, 1995. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 237, 1-54 (1997). Reviewer: Dieter Wolke (Freiburg i.Br.) MSC: 11P32 11N36 PDFBibTeX XMLCite \textit{R. C. Baker} et al., Lond. Math. Soc. Lect. Note Ser. 237, 1--54 (1997; Zbl 0929.11042)
Greaves, G. R. H. (ed.); Harman, G. (ed.); Huxley, M. N. (ed.) Sieve methods, exponential sums, and their applications in number theory. Proceedings of a symposium, Cardiff, UK, July 17–21, 1995. (English) Zbl 0910.00038 London Mathematical Society Lecture Note Series. 237. Cambridge: Cambridge University Press. xii, 344 p. (1997). MSC: 00B25 11-06 PDFBibTeX XMLCite \textit{G. R. H. Greaves} (ed.) et al., Sieve methods, exponential sums, and their applications in number theory. Proceedings of a symposium, Cardiff, UK, July 17--21, 1995. Cambridge: Cambridge University Press (1997; Zbl 0910.00038)
Harman, Glyn Metrical theorems on prime values of the integer parts of real sequences. (English) Zbl 0891.11047 Proc. Lond. Math. Soc., III. Ser. 75, No. 3, 481-496 (1997). Reviewer: G.Harman (Cardiff) MSC: 11N05 11K31 11N36 PDFBibTeX XMLCite \textit{G. Harman}, Proc. Lond. Math. Soc. (3) 75, No. 3, 481--496 (1997; Zbl 0891.11047) Full Text: DOI
Baker, R. C.; Harman, G. The difference between consecutive primes. (English) Zbl 0853.11076 Proc. Lond. Math. Soc., III. Ser. 72, No. 2, 261-280 (1996). Reviewer: R.C.Baker (Provo / UT) MSC: 11N05 11N36 PDFBibTeX XMLCite \textit{R. C. Baker} and \textit{G. Harman}, Proc. Lond. Math. Soc. (3) 72, No. 2, 261--280 (1996; Zbl 0853.11076) Full Text: DOI
Baker, R. C.; Harman, G. The Brun-Titchmarsh theorem on average. (English) Zbl 0853.11078 Berndt, Bruce C. (ed.) et al., Analytic number theory. Vol. 1. Proceedings of a conference in honor of Heini Halberstam, May 16-20, 1995, Urbana, IL, USA. Boston, MA: Birkhäuser. Prog. Math. 138, 39-103 (1996). Reviewer: D.R.Heath-Brown (Oxford) MSC: 11N13 11N36 PDFBibTeX XMLCite \textit{R. C. Baker} and \textit{G. Harman}, Prog. Math. 138, 39--103 (1996; Zbl 0853.11078)
Baker, Roger C.; Harman, Glyn Sparsely totient numbers. (English) Zbl 0871.11060 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 5, No. 2, 183-190 (1996). Reviewer: P.Shiu (Loughborough) MSC: 11N36 11N25 11L07 PDFBibTeX XMLCite \textit{R. C. Baker} and \textit{G. Harman}, Ann. Fac. Sci. Toulouse, Math. (6) 5, No. 2, 183--190 (1996; Zbl 0871.11060) Full Text: DOI Numdam EuDML
Baker, R. C.; Harman, G. Numbers with a large prime factor. (English) Zbl 0834.11037 Acta Arith. 73, No. 2, 119-145 (1995). Reviewer: R.C.Baker (Provo/UT) MSC: 11N36 11N25 PDFBibTeX XML Full Text: DOI EuDML
Baker, R. C.; Harman, G.; Rivat, J. Primes of the form \([n^ c]\). (English) Zbl 0822.11062 J. Number Theory 50, No. 2, 261-277 (1995). Reviewer: D.Wolke (Freiburg i.Br.) MSC: 11N05 11N36 PDFBibTeX XMLCite \textit{R. C. Baker} et al., J. Number Theory 50, No. 2, 261--277 (1995; Zbl 0822.11062) Full Text: DOI
Harman, Glyn Sums of two squares in short intervals. (English) Zbl 0691.10034 Proc. Lond. Math. Soc., III. Ser. 62, No. 2, 225-241 (1991). Reviewer: G.Harman MSC: 11N25 11N36 11P05 PDFBibTeX XMLCite \textit{G. Harman}, Proc. Lond. Math. Soc. (3) 62, No. 2, 225--241 (1991; Zbl 0691.10034) Full Text: DOI
Balog, A.; Harman, G.; Pintz, J. Numbers with a large prime factor. IV. (English) Zbl 0514.10034 J. Lond. Math. Soc., II. Ser. 28, 218-226 (1983). MSC: 11N05 11N36 PDFBibTeX XMLCite \textit{A. Balog} et al., J. Lond. Math. Soc., II. Ser. 28, 218--226 (1983; Zbl 0514.10034) Full Text: DOI
Harman, Glyn On the distribution of \(\alpha(p)\) modulo one. (English) Zbl 0504.10018 J. Lond. Math. Soc., II. Ser. 27, 9-18 (1983). Reviewer: S. W. Graham MSC: 11J71 11N36 11L40 PDFBibTeX XMLCite \textit{G. Harman}, J. Lond. Math. Soc., II. Ser. 27, 9--18 (1983; Zbl 0504.10018) Full Text: DOI
Harman, Glyn Primes in short intervals. (English) Zbl 0482.10040 Math. Z. 180, 335-348 (1982). MSC: 11N05 11N36 PDFBibTeX XMLCite \textit{G. Harman}, Math. Z. 180, 335--348 (1982; Zbl 0482.10040) Full Text: DOI EuDML