Lao, Huixue Bombieri’s theorem in short intervals. (English) Zbl 1265.11090 Commun. Math. Res. 28, No. 2, 173-180 (2012). MSC: 11N13 11N36 PDF BibTeX XML Cite \textit{H. Lao}, Commun. Math. Res. 28, No. 2, 173--180 (2012; Zbl 1265.11090)
Petrenko, B. V. On the distribution of distances between the points of affine curves over finite fields. (English) Zbl 1085.11039 Integers 5, No. 1, Paper A04, 12 p. (2005). Reviewer: Fernando Torres (Campinas) MSC: 11L07 11G20 11L05 11T23 PDF BibTeX XML Cite \textit{B. V. Petrenko}, Integers 5, No. 1, Paper A04, 12 p. (2005; Zbl 1085.11039) Full Text: EuDML
Davenport, Harold Multiplicative number theory. Revised and with a preface by Hugh L. Montgomery. 3rd ed. (English) Zbl 1002.11001 Graduate Texts in Mathematics. 74. New York, NY: Springer. x, 177 p. DM 99.00; öS 723.00; sFr. 90.50; £34.00; $ 49.95 (2000). Reviewer: O.Ninnemann (Berlin) MSC: 11-02 11-01 11Nxx 11Lxx 11Mxx 11P32 11N35 PDF BibTeX XML Cite \textit{H. Davenport}, Multiplicative number theory. Revised and with a preface by Hugh L. Montgomery. 3rd ed. New York, NY: Springer (2000; Zbl 1002.11001)
Hindry, Marc; Silverman, Joseph H. Diophantine geometry. An introduction. (English) Zbl 0948.11023 Graduate Texts in Mathematics. 201. New York, NY: Springer. xiii, 558 p. (2000). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11Gxx 14-01 11-01 14Gxx 11G10 11J68 11G30 11G50 14G05 14G25 14G40 14K15 PDF BibTeX XML Cite \textit{M. Hindry} and \textit{J. H. Silverman}, Diophantine geometry. An introduction. New York, NY: Springer (2000; Zbl 0948.11023)
Dwork, Bernard; Gerotto, Giovanni; Sullivan, Francis J. An introduction to \(G\)-functions. (English) Zbl 0830.12004 Annals of Mathematics Studies. 133. Princeton, NJ: Princeton University Press. xxi, 323 p. $ 59.50; £ 50.00 / hbk; $ 29.95; £ 25.00 / pbk (1994). Reviewer: D.Bertrand (Paris) MSC: 12H25 12-02 11J91 11S80 14G10 14G20 32S40 33C60 41A21 PDF BibTeX XML Cite \textit{B. Dwork} et al., An introduction to \(G\)-functions. Princeton, NJ: Princeton University Press (1994; Zbl 0830.12004) Full Text: DOI
Sander, J. W. On \(4/n= 1/x+ 1/y+1/z\) and Iwaniec’ half dimensional sieve. (English) Zbl 0796.11040 J. Number Theory 46, No. 2, 123-136 (1994). Reviewer: Wolfgang Schwarz (Frankfurt / Main) MSC: 11N36 11D68 PDF BibTeX XML Cite \textit{J. W. Sander}, J. Number Theory 46, No. 2, 123--136 (1994; Zbl 0796.11040) Full Text: DOI
Hinz, Jürgen G. On the binary Goldbach problem in algebraic number fields. (English) Zbl 0798.11041 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, 211-216 (1992). Reviewer: J.Hinz (Marburg) MSC: 11P32 11R44 11N36 PDF BibTeX XML Cite \textit{J. G. Hinz}, 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. 211--216 (1992; Zbl 0798.11041)
Luo, Wenzhi Lower bound for number of \(B\)-twins in short intervals. (English) Zbl 0808.11056 Gong, Sheng (ed.) et al., International symposium on number theory and analysis in memory of Hua Loo Keng, held August 1-7, 1988 at the Tsing Hua University, Beijing, China. Volume I: Number theory. Berlin: Springer-Verlag. 193-208 (1991). Reviewer: Kan Jiahai (Nanjing) MSC: 11N36 11N05 PDF BibTeX XML Cite \textit{W. Luo}, in: International symposium on number theory and analysis in memory of Hua Loo Keng, held August 1-7, 1988 at the Tsing Hua University, Beijing, China. Volume I: Number theory. Berlin: Springer-Verlag; Beijing: Science Press. 193--208 (1991; Zbl 0808.11056)
Friedlander, J. B. Shifted primes without large prime factors. (English) Zbl 0686.10030 Number theory and applications, Proc. NATO ASI, Banff/Can. 1988, NATO ASI Ser., Ser. C 265, 393-401 (1989). Reviewer: D.Wolke MSC: 11N05 11N35 PDF BibTeX XML
Zhan, Tao Bombieri’s theorem in short intervals. (English) Zbl 0779.11038 Acta Math. Sin., New Ser. 5, No. 1, 37-47 (1989). Reviewer: P.Shiu (Loughborough) MSC: 11N25 PDF BibTeX XML Cite \textit{T. Zhan}, Acta Math. Sin., New Ser. 5, No. 1, 37--47 (1989; Zbl 0779.11038) Full Text: DOI
Hinz, Jürgen G. A generalization of Bombieri’s prime number theorem to algebraic number fields. (English) Zbl 0605.10023 Acta Arith. 51, No. 2, 173-193 (1988). Reviewer: Jürgen G. Hinz (Marburg) MSC: 11N35 11N13 11R47 11L40 PDF BibTeX XML Cite \textit{J. G. Hinz}, Acta Arith. 51, No. 2, 173--193 (1988; Zbl 0605.10023) Full Text: DOI EuDML
Xie, Shenggang On the equation \(ap-bP_ 2=m\). (English) Zbl 0643.10037 Acta Math. Sin., New Ser. 3, 54-57 (1987). Reviewer: S.W.Graham MSC: 11P32 11N13 PDF BibTeX XML Cite \textit{S. Xie}, Acta Math. Sin., New Ser. 3, 54--57 (1987; Zbl 0643.10037) Full Text: DOI
Wolke, Dieter Ein Problem im Zusammenhang mit dem Bombierischen Primzahlsatz. (A problem connected with Bombieri’s prime number theorem). (German) Zbl 0556.10029 Arch. Math. 46, 46-51 (1986). MSC: 11N13 11N37 PDF BibTeX XML Cite \textit{D. Wolke}, Arch. Math. 46, 46--51 (1986; Zbl 0556.10029) Full Text: DOI
Perelli, A.; Pintz, J.; Salerno, S. Bombieri’s theorem in short intervals. II. (English) Zbl 0579.10020 Invent. Math. 79, 1-9 (1985). Reviewer: D.Wolke MSC: 11N13 11N05 PDF BibTeX XML Cite \textit{A. Perelli} et al., Invent. Math. 79, 1--9 (1985; Zbl 0579.10020) Full Text: DOI EuDML
Elliott, P. D. T. A. Arithmetic functions and integer products. (English) Zbl 0559.10032 Grundlehren der Mathematischen Wissenschaften, 272. New York etc.: Springer-Verlag. XV, 461 p. DM 198.00 (1985). Reviewer: I.Z.Ruzsa MSC: 11K65 11-02 11N37 00A07 11B83 PDF BibTeX XML
Perelli, A.; Pintz, J.; Salerno, S. Bombieri’s theorem in short intervals. (English) Zbl 0579.10019 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 11, 529-539 (1984). Reviewer: D.Wolke MSC: 11N13 11N05 PDF BibTeX XML Cite \textit{A. Perelli} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 11, 529--539 (1984; Zbl 0579.10019) Full Text: Numdam EuDML
Schaal, W. Siebmethoden in algebraischen Zahlkörpern. (English) Zbl 0545.10037 Jahrb. Überblicke Math. 1984, Math. Surv. 17, 37-53 (1984). Reviewer: W.Schwarz MSC: 11N35 11-02 12-02 PDF BibTeX XML
Zhang, Dexian A new mean value theorem for the function mu(n). (Chinese) Zbl 0515.10039 J. Shandong Coll. Oceanol. 12, No. 1, 11-20 (1982). MSC: 11N13 11N35 11N05 11M35 PDF BibTeX XML Cite \textit{D. Zhang}, J. Shandong Coll. Oceanol. 12, No. 1, 11--20 (1982; Zbl 0515.10039)
Heath-Brown, D. R. A parity problem from sieve theory. (English) Zbl 0475.10035 Mathematika 29, 1-6 (1982). MSC: 11N05 11N35 PDF BibTeX XML Cite \textit{D. R. Heath-Brown}, Mathematika 29, 1--6 (1982; Zbl 0475.10035) Full Text: DOI
Murata, Leo On an average of omega(n) with respect to some sets of composite integers. (English) Zbl 0489.10040 Tokyo J. Math. 4, 367-378 (1981). MSC: 11N05 11N37 11N35 PDF BibTeX XML Cite \textit{L. Murata}, Tokyo J. Math. 4, 367--378 (1981; Zbl 0489.10040) Full Text: DOI
Davenport, Harold Multiplicative number theory. 2nd ed. Rev. by Hugh L. Montgomery. (English) Zbl 0453.10002 Graduate Texts in Mathematics, 74. New York - Heidelberg - Berlin: Springer-Verlag. xiii, 177 p. DM 37.00; $ 21.90 (1980). Reviewer: David A. Burgess (Nottingham) MSC: 11-02 11Lxx 11Mxx 11Nxx 11P32 11N35 PDF BibTeX XML
Pan, Chengdong; Ding, Xiaxi A new mean value theorem. (English) Zbl 0643.10034 Sci. Sin. 1979, Special Issue II on Math., 149-161 (1979). MSC: 11N13 11N37 11N05 PDF BibTeX XML Cite \textit{C. Pan} and \textit{X. Ding}, Sci. Sin. 1979, 149--161 (1979; Zbl 0643.10034)
Chen, Jing-run On the Goldbach’s problem and the sieve methods. (English) Zbl 0399.10046 Sci. Sin. 21, 701-739 (1978). MSC: 11N35 11P32 PDF BibTeX XML Cite \textit{J.-r. Chen}, Sci. Sin. 21, 701--739 (1978; Zbl 0399.10046)
Kátai, Imre On the distribution of arithmetical functions. (English) Zbl 0175.04103 Acta Math. Acad. Sci. Hung. 20, 69-87 (1969). Reviewer: Imre Kátai MSC: 11N60 PDF BibTeX XML Cite \textit{I. Kátai}, Acta Math. Acad. Sci. Hung. 20, 69--87 (1969; Zbl 0175.04103) Full Text: DOI