Ren, Xiumin; Zhang, Wei Averages of exponential twists of the von Mangoldt function. (English) Zbl 07626917 Bull. Aust. Math. Soc. 106, No. 3, 425-430 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L20 11M26 PDF BibTeX XML Cite \textit{X. Ren} and \textit{W. Zhang}, Bull. Aust. Math. Soc. 106, No. 3, 425--430 (2022; Zbl 07626917) Full Text: DOI arXiv OpenURL
Perret-Gentil, Corentin Exponential sums over finite fields and the large sieve. (English) Zbl 1466.11093 Int. Math. Res. Not. 2020, No. 20, 7139-7174 (2020). Reviewer: Jebrel M. Habeb (Irbid) MSC: 11T23 11L05 11N35 11N64 PDF BibTeX XML Cite \textit{C. Perret-Gentil}, Int. Math. Res. Not. 2020, No. 20, 7139--7174 (2020; Zbl 1466.11093) Full Text: DOI arXiv OpenURL
Zhang, Wei Fourier coefficients at primes twisted with exponential functions. (English) Zbl 1443.11051 J. Number Theory 201, 280-291 (2019). MSC: 11F30 11L07 11L20 PDF BibTeX XML Cite \textit{W. Zhang}, J. Number Theory 201, 280--291 (2019; Zbl 1443.11051) Full Text: DOI OpenURL
Pomykała, Jacek On exponents of modular subgroups generated by small consecutive integers. (English) Zbl 1372.11094 Acta Arith. 176, No. 4, 321-342 (2016). MSC: 11N25 11M06 11A51 14G50 PDF BibTeX XML Cite \textit{J. Pomykała}, Acta Arith. 176, No. 4, 321--342 (2016; Zbl 1372.11094) Full Text: DOI OpenURL
Koukoulopoulos, Dimitris Primes in short arithmetic progressions. (English) Zbl 1346.11048 Int. J. Number Theory 11, No. 5, 1499-1521 (2015). Reviewer: Lajos Hajdu (Debrecen) MSC: 11N05 11N13 PDF BibTeX XML Cite \textit{D. Koukoulopoulos}, Int. J. Number Theory 11, No. 5, 1499--1521 (2015; Zbl 1346.11048) Full Text: DOI arXiv OpenURL
Yao, Weili A Bombieri-type theorem for exponential sums. (English) Zbl 1336.11060 Acta Math. Sin., Engl. Ser. 29, No. 10, 1997-2012 (2013). Reviewer: Huaning Liu (Shaanxi) MSC: 11L07 PDF BibTeX XML Cite \textit{W. Yao}, Acta Math. Sin., Engl. Ser. 29, No. 10, 1997--2012 (2013; Zbl 1336.11060) Full Text: DOI OpenURL
Braichev, G. G. Sharp bounds for the type of an entire function of order less than 1 whose zeros are located on a ray and have given averaged densities. (English. Russian original) Zbl 1260.30014 Dokl. Math. 86, No. 1, 559-561 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 445, No. 6, 615-617 (2012). Reviewer: Igor Chyzhykov (Lviv) MSC: 30D15 PDF BibTeX XML Cite \textit{G. G. Braichev}, Dokl. Math. 86, No. 1, 559--561 (2012; Zbl 1260.30014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 445, No. 6, 615--617 (2012) Full Text: DOI OpenURL
Yao, Weili Estimate for exponential sums and its applications. (English) Zbl 1314.11052 Front. Math. China 7, No. 4, 765-783 (2012). Reviewer: Zaizhao Meng (Beijing) MSC: 11L07 11M20 11P32 PDF BibTeX XML Cite \textit{W. Yao}, Front. Math. China 7, No. 4, 765--783 (2012; Zbl 1314.11052) Full Text: DOI OpenURL
Bazzanella, Danilo Two conditional results about primes in short intervals. (English) Zbl 1269.11095 Int. J. Number Theory 7, No. 7, 1753-1759 (2011). MSC: 11N05 PDF BibTeX XML Cite \textit{D. Bazzanella}, Int. J. Number Theory 7, No. 7, 1753--1759 (2011; Zbl 1269.11095) Full Text: DOI OpenURL
Xylouris, Triantafyllos On the least prime in an arithmetic progression and estimates for the zeros of Dirichlet L-functions. (English) Zbl 1248.11067 Acta Arith. 150, No. 1, 65-91 (2011). Reviewer: Stephan Baier (Norwich) MSC: 11N13 11M06 PDF BibTeX XML Cite \textit{T. Xylouris}, Acta Arith. 150, No. 1, 65--91 (2011; Zbl 1248.11067) Full Text: DOI arXiv OpenURL
Liu, H.-Q. Barban-Davenport-Halberstam average sum and exceptional zero of \(L\)-functions. (English) Zbl 1182.11041 J. Number Theory 128, No. 4, 1011-1043 (2008). Reviewer: Jan-Christoph Schlage-Puchta (Freiburg i. Br.) MSC: 11N37 11N36 11P55 PDF BibTeX XML Cite \textit{H. Q. Liu}, J. Number Theory 128, No. 4, 1011--1043 (2008; Zbl 1182.11041) Full Text: DOI OpenURL
Mukhopadhyay, Anirban; Srinivas, Kotyada A zero density estimate for the Selberg class. (English) Zbl 1146.11045 Int. J. Number Theory 3, No. 2, 263-273 (2007). Reviewer: Samuel James Patterson (Göttingen) MSC: 11M41 11M36 11F66 PDF BibTeX XML Cite \textit{A. Mukhopadhyay} and \textit{K. Srinivas}, Int. J. Number Theory 3, No. 2, 263--273 (2007; Zbl 1146.11045) Full Text: DOI OpenURL
Sankaranarayanan, Ayyadurai; Sengupta, Jyothi Omega theorems for a class of \(L\)-functions. (A note on the Rankin-Selberg zeta-function). (English) Zbl 1163.11041 Funct. Approximatio, Comment. Math. 36, 119-131 (2006). Reviewer: Roma Kačinskaitė (Siauliai) MSC: 11F66 11M41 11M06 PDF BibTeX XML Cite \textit{A. Sankaranarayanan} and \textit{J. Sengupta}, Funct. Approximatio, Comment. Math. 36, 119--131 (2006; Zbl 1163.11041) Full Text: DOI OpenURL
Daileda, Ryan C. Non-abelian number fields with very large class numbers. (English) Zbl 1158.11044 Acta Arith. 125, No. 3, 215-255 (2006). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R16 11F12 11R29 11R42 PDF BibTeX XML Cite \textit{R. C. Daileda}, Acta Arith. 125, No. 3, 215--255 (2006; Zbl 1158.11044) Full Text: DOI OpenURL
Maier, H.; Sankaranarayanan, A. On an exponential sum involving the Möbius function. (English) Zbl 1115.11053 Hardy-Ramanujan J. 28, 10-29 (2005). Reviewer: Roger Heath-Brown (Oxford) MSC: 11M06 11L07 PDF BibTeX XML Cite \textit{H. Maier} and \textit{A. Sankaranarayanan}, Hardy-Ramanujan J. 28, 10--29 (2005; Zbl 1115.11053) OpenURL
Languasco, A. On the exceptional set of Hardy-Littlewood’s numbers in short intervals. (English) Zbl 1068.11066 Tsukuba J. Math. 28, No. 1, 169-191 (2004). Reviewer: George Greaves (Cardiff) MSC: 11P32 11P55 PDF BibTeX XML Cite \textit{A. Languasco}, Tsukuba J. Math. 28, No. 1, 169--191 (2004; Zbl 1068.11066) Full Text: DOI OpenURL
Peneva, T. P. On the exceptional set for Goldbach’s problem in short intervals. (English) Zbl 0974.11037 Monatsh. Math. 132, No. 1, 49-65 (2001). Reviewer: Koichi Kawada (Morioka) MSC: 11P32 11P55 11L20 11M20 11M26 PDF BibTeX XML Cite \textit{T. P. Peneva}, Monatsh. Math. 132, No. 1, 49--65 (2001; Zbl 0974.11037) Full Text: DOI OpenURL
Li, Hongze Small prime solutions of linear ternary equations. (English) Zbl 0972.11098 Acta Arith. 98, No. 3, 293-309 (2001). Reviewer: Roger Heath-Brown (Oxford) MSC: 11P32 11M26 11P55 PDF BibTeX XML Cite \textit{H. Li}, Acta Arith. 98, No. 3, 293--309 (2001; Zbl 0972.11098) Full Text: DOI OpenURL
Bauer, Claus; Liu, Ming-Chit; Zhan, Tao On a sum of three prime squares. (English) Zbl 0961.11034 J. Number Theory 85, No. 2, 336-359 (2000). Reviewer: Roger Heath-Brown (Oxford) MSC: 11P32 11M20 PDF BibTeX XML Cite \textit{C. Bauer} et al., J. Number Theory 85, No. 2, 336--359 (2000; Zbl 0961.11034) Full Text: DOI OpenURL
Kamiya, Yuichi Zero density estimates of \(L\)-functions associated with cusp forms. (English) Zbl 0912.11033 Acta Arith. 85, No. 3, 209-227 (1998). Reviewer: A.Ivić (Beograd) MSC: 11M41 11F66 11N75 PDF BibTeX XML Cite \textit{Y. Kamiya}, Acta Arith. 85, No. 3, 209--227 (1998; Zbl 0912.11033) Full Text: DOI EuDML OpenURL
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 PDF BibTeX XML Cite \textit{D. R. Heath-Brown}, Acta Arith. 72, No. 3, 235--275 (1995; Zbl 0828.11040) Full Text: DOI EuDML OpenURL
Jia, Chaohua Three primes theorem in a short interval. VII. (English) Zbl 0847.11054 Acta Math. Sin., New Ser. 10, No. 4, 369-387 (1994). Reviewer: P.Shiu (Loughborough) MSC: 11P32 11N36 PDF BibTeX XML Cite \textit{C. Jia}, Acta Math. Sin., New Ser. 10, No. 4, 369--387 (1994; Zbl 0847.11054) Full Text: DOI OpenURL
Mikawa, Hiroshi On the intervals between consecutive numbers that are sums of two primes. (English) Zbl 0798.11040 Tsukuba J. Math. 17, No. 2, 443-453 (1993). Reviewer: D.R.Heath-Brown (Oxford) MSC: 11P32 11N05 11M26 PDF BibTeX XML Cite \textit{H. Mikawa}, Tsukuba J. Math. 17, No. 2, 443--453 (1993; Zbl 0798.11040) Full Text: DOI OpenURL
Wolke, D. Some applications to zero density theorems for \(L\)-functions. (English) Zbl 0790.11075 Acta Math. Hung. 61, No. 3-4, 241-258 (1993). Reviewer: P.Shiu (Loughborough) MSC: 11P32 11N25 11M06 11L07 PDF BibTeX XML Cite \textit{D. Wolke}, Acta Math. Hung. 61, No. 3--4, 241--258 (1993; Zbl 0790.11075) Full Text: DOI OpenURL
Zheng, Zhiyong On zero-density estimates for the Riemann zeta-function. (Chinese. English summary) Zbl 0799.11025 J. Math., Wuhan Univ. 13, No. 2, 237-242 (1993). Reviewer: P.Shiu (Loughborough) MSC: 11M06 PDF BibTeX XML Cite \textit{Z. Zheng}, J. Math., Wuhan Univ. 13, No. 2, 237--242 (1993; Zbl 0799.11025) OpenURL
Pan, Chengdong; Pan, Chengbiao Goldbach conjecture. Transl. and rev. from the Chinese manuscript by the authors. (English) Zbl 0849.11080 Beijing: Science Press. iv, 240 p. (1992). Reviewer: D.Wolke (Freiburg i.Br.) MSC: 11P32 11-02 11N35 11N36 11M06 11L40 11N13 11P55 PDF BibTeX XML Cite \textit{C. Pan} and \textit{C. Pan}, Goldbach conjecture. Transl. and rev. from the Chinese manuscript by the authors. Beijing: Science Press (1992; Zbl 0849.11080) OpenURL
Tolev, D. I. On a diophantine inequality involving prime numbers. (English) Zbl 0762.11033 Acta Arith. 61, No. 3, 289-306 (1992). Reviewer: Peter Shiu (Loughborough) MSC: 11P32 11D75 PDF BibTeX XML Cite \textit{D. I. Tolev}, Acta Arith. 61, No. 3, 289--306 (1992; Zbl 0762.11033) Full Text: DOI EuDML OpenURL
Ivić, Aleksandar On zeta-functions associated with Fourier coefficients of cusp forms. (English) Zbl 0787.11035 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, 231-246 (1992). Reviewer: D.R.Heath-Brown (Oxford) MSC: 11M41 11F66 11N37 PDF BibTeX XML Cite \textit{A. Ivić}, 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. 231--246 (1992; Zbl 0787.11035) OpenURL
Zhan, Tao Davenport’s theorem in short intervals. (English) Zbl 0749.11038 Chin. Ann. Math., Ser. B 12, No. 4, 421-431 (1991). Reviewer: D.R.Heath-Brown (Oxford) MSC: 11L20 11L99 PDF BibTeX XML Cite \textit{T. Zhan}, Chin. Ann. Math., Ser. B 12, No. 4, 421--431 (1991; Zbl 0749.11038) OpenURL
Heath-Brown, D. R. The differences between consecutive primes. IV. (English) Zbl 0713.11064 A tribute to Paul Erdős, 277-287 (1990). Reviewer: D.R.Heath-Brown MSC: 11N05 11M26 PDF BibTeX XML OpenURL
Coleman, M. D. The distribution of points at which binary quadratic forms are prime. (English) Zbl 0712.11065 Proc. Lond. Math. Soc., III. Ser. 61, No. 3, 433-456 (1990). Reviewer: Jürgen Hinz (Marburg) MSC: 11R44 11R42 11N32 11E16 PDF BibTeX XML Cite \textit{M. D. Coleman}, Proc. Lond. Math. Soc. (3) 61, No. 3, 433--456 (1990; Zbl 0712.11065) Full Text: DOI OpenURL
Zhang, Wenpeng On zero density of Dirichlet’s L-functions. (Chinese. English summary) Zbl 0699.10057 Northeast. Math. J. 5, No. 3, 370-378 (1989). Reviewer: P.Shiu MSC: 11M06 PDF BibTeX XML Cite \textit{W. Zhang}, Northeast. Math. J. 5, No. 3, 370--378 (1989; Zbl 0699.10057) OpenURL
Bartz, K. M.; Fryska, T. L. An effective estimate for the density of zeros of Hecke-Landau zeta-functions. (English) Zbl 0694.12009 Acta Arith. 52, No. 4, 339-352 (1989). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11R45 11R42 PDF BibTeX XML Cite \textit{K. M. Bartz} and \textit{T. L. Fryska}, Acta Arith. 52, No. 4, 339--352 (1989; Zbl 0694.12009) Full Text: DOI EuDML OpenURL
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 PDF BibTeX XML Cite \textit{D. R. Heath-Brown}, Jahresber. Dtsch. Math.-Ver. 90, No. 2, 71--89 (1988; Zbl 0639.10027) OpenURL
Meurman, Tom A generalization of Atkinson’s formula to L-functions. (English) Zbl 0561.10019 Acta Arith. 47, 351-370 (1986). MSC: 11M06 11N37 PDF BibTeX XML Cite \textit{T. Meurman}, Acta Arith. 47, 351--370 (1986; Zbl 0561.10019) Full Text: DOI EuDML OpenURL
Ivić, A. A zero-density theorem for the Riemann zeta-function. (English) Zbl 0583.10021 Proc. Steklov Inst. Math. 163, 103-107 (1985). MSC: 11M06 PDF BibTeX XML Cite \textit{A. Ivić}, Proc. Steklov Inst. Math. 163, 103--107 (1985; Zbl 0583.10021) OpenURL
Ivić, Aleksandar The Riemann zeta-function. The theory of the Riemann zeta-function with applications. (English) Zbl 0556.10026 A Wiley-Interscience Publication. New York etc.: John Wiley & Sons. XVI, 517 p. £57.80 (1985). Reviewer: D.R.Heath-Brown MSC: 11-02 11M06 11N37 11L40 PDF BibTeX XML OpenURL
Ivić, A. A zero-density theorem for the Riemann zeta-function. (English) Zbl 0548.10024 Tr. Mat. Inst. Steklova 163, 85-89 (1984). Reviewer: D.R.Heath-Brown MSC: 11M06 PDF BibTeX XML Cite \textit{A. Ivić}, Tr. Mat. Inst. Steklova 163, 85--89 (1984; Zbl 0548.10024) OpenURL
Ivić, A. Exponent pairs and power moments of the zeta-function. (English) Zbl 0543.10028 Topics in classical number theory, Colloq. Budapest 1981, Vol. I, Colloq. Math. Soc. János Bolyai 34, 749-768 (1984). MSC: 11M06 11N05 11N37 PDF BibTeX XML OpenURL
Maknys, M. On the distance between consecutive prime ideal numbers in sectors. (English) Zbl 0525.10026 Acta Math. Hung. 42, 131-138 (1983). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N05 11R44 PDF BibTeX XML Cite \textit{M. Maknys}, Acta Math. Hung. 42, 131--138 (1983; Zbl 0525.10026) Full Text: DOI OpenURL
Ivic, Aleksandar Topics in recent zeta function theory. (English) Zbl 0524.10032 Publ. Math. Orsay 83.06, 272 p. (1983). MSC: 11M06 11-02 11N37 PDF BibTeX XML OpenURL
Pan, Chengdong The estimation of a trigonometric sum. (Chinese. English summary) Zbl 0597.10038 J. Shandong Univ., Nat. Sci. Ed. 1982, No. 4, 19-23 (1982). Reviewer: P.Shiu MSC: 11L40 PDF BibTeX XML Cite \textit{C. Pan}, J. Shandong Univ., Nat. Sci. Ed. 1982, No. 4, 19--23 (1982; Zbl 0597.10038) OpenURL
Ivic, Aleksandar Exponent pairs and the zeta-function of Riemann. (English) Zbl 0455.10025 Stud. Sci. Math. Hung. 15, 157-181 (1980). MSC: 11M06 PDF BibTeX XML Cite \textit{A. Ivic}, Stud. Sci. Math. Hung. 15, 157--181 (1980; Zbl 0455.10025) OpenURL
Chen, Jingrun; Pan, Chengdong The exceptional set of Goldbach-numbers. I. (English) Zbl 0439.10034 Sci. Sin. 23, 414-430 (1980). Reviewer: George Greaves (Cardiff) MSC: 11P32 11P55 PDF BibTeX XML Cite \textit{J. Chen} and \textit{C. Pan}, Sci. Sin. 23, 414--430 (1980; Zbl 0439.10034) OpenURL
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 PDF BibTeX XML Full Text: EuDML OpenURL
Heath-Brown, D. R.; Iwaniec, H. On the difference between consecutive primes. (English) Zbl 0414.10043 Bull. Am. Math. Soc., New Ser. 1, 758-760 (1979). MSC: 11N05 11N35 PDF BibTeX XML Cite \textit{D. R. Heath-Brown} and \textit{H. Iwaniec}, Bull. Am. Math. Soc., New Ser. 1, 758--760 (1979; Zbl 0414.10043) Full Text: DOI OpenURL
Ivić, Aleksandar A note on the zero-density estimates for the zeta-function. (English) Zbl 0405.10025 Arch. Math. 33, 155-164 (1979). Reviewer: Aleksandar Ivić MSC: 11M06 PDF BibTeX XML Cite \textit{A. Ivić}, Arch. Math. 33, 155--164 (1979; Zbl 0405.10025) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{D. R. Heath-Brown}, J. Lond. Math. Soc., II. Ser. 19, 221--232 (1979; Zbl 0393.10043) Full Text: DOI OpenURL
Wolke, Dieter Exponential sums and zeros of \(L\)-series. (Exponentialsummen und Nullstellen von L-Reihen.) (German) Zbl 0386.10024 Math. Z. 166, 83-91 (1979). Reviewer: Dieter Wolke (Freiburg i. Br.) MSC: 11M26 11M06 11L07 PDF BibTeX XML Cite \textit{D. Wolke}, Math. Z. 166, 83--91 (1979; Zbl 0386.10024) Full Text: DOI EuDML OpenURL