Bazzanella, Danilo; Sanna, Carlo Least common multiple of polynomial sequences. (English) Zbl 07307021 Rend. Semin. Mat., Univ. Politec. Torino 78, No. 1, 21-25 (2020). MSC: 11N32 11N37 PDF BibTeX XML Cite \textit{D. Bazzanella} and \textit{C. Sanna}, Rend. Semin. Mat., Univ. Politec. Torino 78, No. 1, 21--25 (2020; Zbl 07307021) Full Text: Link
Aletheia-Zomlefer, Soren Laing; Fukshansky, Lenny; Garcia, Stephan Ramon The Bateman-Horn conjecture: heuristic, history, and applications. (English) Zbl 07304249 Expo. Math. 38, No. 4, 430-479 (2020). MSC: 11N32 11N05 11N13 PDF BibTeX XML Cite \textit{S. L. Aletheia-Zomlefer} et al., Expo. Math. 38, No. 4, 430--479 (2020; Zbl 07304249) Full Text: DOI
Sah, Ashwin An improved bound on the least common multiple of polynomial sequences. (English. French summary) Zbl 07299138 J. Théor. Nombres Bordx. 32, No. 3, 891-899 (2020). MSC: 11N32 PDF BibTeX XML Cite \textit{A. Sah}, J. Théor. Nombres Bordx. 32, No. 3, 891--899 (2020; Zbl 07299138) Full Text: DOI
Lam, Peter Cho-ho; Schindler, Damaris; Xiao, Stanley Yao On prime values of binary quadratic forms with a thin variable. (English) Zbl 07288975 J. Lond. Math. Soc., II. Ser. 102, No. 2, 749-772 (2020). MSC: 11N05 11N32 11N35 11N36 PDF BibTeX XML Cite \textit{P. C. h. Lam} et al., J. Lond. Math. Soc., II. Ser. 102, No. 2, 749--772 (2020; Zbl 07288975) Full Text: DOI
Dunn, Alexander; Kerr, Bryce; Shparlinski, Igor E.; Zaharescu, Alexandru Bilinear forms in Weyl sums for modular square roots and applications. (English) Zbl 07281396 Adv. Math. 375, Article ID 107369, 58 p. (2020). MSC: 11A15 11E25 11K38 11L07 11L20 11N32 PDF BibTeX XML Cite \textit{A. Dunn} et al., Adv. Math. 375, Article ID 107369, 58 p. (2020; Zbl 07281396) Full Text: DOI
Ford, Kevin; Qian, Guoyou The distribution of divisors of polynomials. (English) Zbl 07209644 Mathematika 66, No. 2, 395-415 (2020). MSC: 11N32 11N25 PDF BibTeX XML Cite \textit{K. Ford} and \textit{G. Qian}, Mathematika 66, No. 2, 395--415 (2020; Zbl 07209644) Full Text: DOI
De la Bretèche, Régis; Drappeau, Sary Level of distribution of quadratic polynomials and an upper bound sieve for friable integers. (Niveau de répartition des polynômes quadratiques et crible majorant pour les entiers friables.) (French. English summary) Zbl 07198114 J. Eur. Math. Soc. (JEMS) 22, No. 5, 1577-1624 (2020). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N32 11N75 PDF BibTeX XML Cite \textit{R. De la Bretèche} and \textit{S. Drappeau}, J. Eur. Math. Soc. (JEMS) 22, No. 5, 1577--1624 (2020; Zbl 07198114) Full Text: DOI
Pratt, Kyle Primes from sums of two squares and missing digits. (English) Zbl 07194983 Proc. Lond. Math. Soc. (3) 120, No. 6, 770-830 (2020). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N05 11N32 11N36 11A63 PDF BibTeX XML Cite \textit{K. Pratt}, Proc. Lond. Math. Soc. (3) 120, No. 6, 770--830 (2020; Zbl 07194983) Full Text: DOI
Hajdu, L.; Sárközy, A. On multiplicative decompositions of polynomial sequences. III. (English) Zbl 1447.11099 Acta Arith. 193, No. 2, 193-216 (2020). Reviewer: Florian Luca (Johannesburg) MSC: 11N25 11N32 11D41 PDF BibTeX XML Cite \textit{L. Hajdu} and \textit{A. Sárközy}, Acta Arith. 193, No. 2, 193--216 (2020; Zbl 1447.11099) Full Text: DOI
Bober, J. W.; Fretwell, D.; Martin, G.; Wooley, T. D. Smooth values of polynomials. (English) Zbl 07177251 J. Aust. Math. Soc. 108, No. 2, 245-261 (2020). MSC: 11N32 11N25 12E05 PDF BibTeX XML Cite \textit{J. W. Bober} et al., J. Aust. Math. Soc. 108, No. 2, 245--261 (2020; Zbl 07177251) Full Text: DOI
Maynard, James Primes represented by incomplete norm forms. (English) Zbl 1451.11101 Forum Math. Pi 8, Paper No. e3, 128 p. (2020). Reviewer: Ghaith A. Hiary (Columbus) MSC: 11N05 11N35 11N32 PDF BibTeX XML Cite \textit{J. Maynard}, Forum Math. Pi 8, Paper No. e3, 128 p. (2020; Zbl 1451.11101) Full Text: DOI
Krumm, David; Pollack, Paul Twists of hyperelliptic curves by integers in progressions modulo \(p\). (English) Zbl 07146371 Acta Arith. 192, No. 1, 63-71 (2020). MSC: 11N32 11N36 11G30 PDF BibTeX XML Cite \textit{D. Krumm} and \textit{P. Pollack}, Acta Arith. 192, No. 1, 63--71 (2020; Zbl 07146371) Full Text: DOI arXiv
Li, Weixiong A note on the Bateman-Horn conjecture. (English) Zbl 07137135 J. Number Theory 208, 390-399 (2020). MSC: 11N32 11N13 11N05 PDF BibTeX XML Cite \textit{W. Li}, J. Number Theory 208, 390--399 (2020; Zbl 07137135) Full Text: DOI arXiv
Goudout, Élie Simultaneous concentrations of additive functions. (Concentrations simultanées de fonctions additives.) (French. English summary) Zbl 1445.11097 J. Théor. Nombres Bordx. 31, No. 2, 385-402 (2019). MSC: 11N25 11N32 11N60 PDF BibTeX XML Cite \textit{É. Goudout}, J. Théor. Nombres Bordx. 31, No. 2, 385--402 (2019; Zbl 1445.11097) Full Text: DOI
Dimabayao, Jerome T.; Ponomarenko, Vadim; Tigas, Orland James Q. On the monoid of monic binary quadratic forms. (English) Zbl 1449.11097 Miskolc Math. Notes 20, No. 2, 863-871 (2019). MSC: 11N32 11E25 11A41 PDF BibTeX XML Cite \textit{J. T. Dimabayao} et al., Miskolc Math. Notes 20, No. 2, 863--871 (2019; Zbl 1449.11097) Full Text: DOI
Wu, Jie; Xi, Ping Towards representations of primes by polynomials. (English) Zbl 07128801 Ji, Lizhen (ed.) et al., Proceedings of the seventh international congress of Chinese mathematicians, ICCM 2016, Beijing, China, August 2016. Volume II. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-370-8/pbk; 978-1-57146-371-5/set). Advanced Lectures in Mathematics (ALM) 44, 99-122 (2019). MSC: 11N32 11N05 11N13 11N36 PDF BibTeX XML Cite \textit{J. Wu} and \textit{P. Xi}, in: Proceedings of the seventh international congress of Chinese mathematicians, ICCM 2016, Beijing, China, August 2016. Volume II. Somerville, MA: International Press; Beijing: Higher Education Press. 99--122 (2019; Zbl 07128801)
Destagnol, Kevin; Sofos, Efthymios Rational points and prime values of polynomials in moderately many variables. (English) Zbl 07124081 Bull. Sci. Math. 156, Article ID 102794, 33 p. (2019). Reviewer: B. Z. Moroz (Bonn) MSC: 11N32 11P55 14G05 PDF BibTeX XML Cite \textit{K. Destagnol} and \textit{E. Sofos}, Bull. Sci. Math. 156, Article ID 102794, 33 p. (2019; Zbl 07124081) Full Text: DOI arXiv
Ramírez Viñas, Víctor Julio A simple criterion for the class number of a quadratic number field to be one. (English) Zbl 1436.11129 Int. J. Number Theory 15, No. 9, 1857-1862 (2019). Reviewer: Anitha Srinivasan (Madrid) MSC: 11R11 11C08 11R29 11N32 PDF BibTeX XML Cite \textit{V. J. Ramírez Viñas}, Int. J. Number Theory 15, No. 9, 1857--1862 (2019; Zbl 1436.11129) Full Text: DOI
Lapkova, Kostadinka; Xiao, Stanley Yao Density of power-free values of polynomials. (English) Zbl 1440.11183 Mathematika 65, No. 4, 1038-1050 (2019). MSC: 11N32 11D45 PDF BibTeX XML Cite \textit{K. Lapkova} and \textit{S. Y. Xiao}, Mathematika 65, No. 4, 1038--1050 (2019; Zbl 1440.11183) Full Text: DOI arXiv
Sun, Yu-Chen; Pan, Hao The Green-Tao theorem for primes of the form \(x^2+y^2+1\). (English) Zbl 1431.11022 Monatsh. Math. 189, No. 4, 715-733 (2019). Reviewer: Štefan Porubský (Praha) MSC: 11B25 11B30 11N32 11P32 11N36 PDF BibTeX XML Cite \textit{Y.-C. Sun} and \textit{H. Pan}, Monatsh. Math. 189, No. 4, 715--733 (2019; Zbl 1431.11022) Full Text: DOI arXiv
Tao, Terence; Ziegler, Tamar Polynomial patterns in the primes. (English) Zbl 07087932 Forum Math. Pi 6, Paper No. e1, 60 p. (2018). MSC: 11B30 11N32 PDF BibTeX XML Cite \textit{T. Tao} and \textit{T. Ziegler}, Forum Math. Pi 6, Paper No. e1, 60 p. (2018; Zbl 07087932) Full Text: DOI arXiv
Zaman, Asif Primes represented by positive definite binary quadratic forms. (English) Zbl 1441.11249 Q. J. Math. 69, No. 4, 1353-1386 (2018). MSC: 11N32 11E16 PDF BibTeX XML Cite \textit{A. Zaman}, Q. J. Math. 69, No. 4, 1353--1386 (2018; Zbl 1441.11249) Full Text: DOI arXiv
Ma, Shilin; McGown, Kevin J.; Rhodes, Devon; Wanner, Mathias On the number of primes for which a polynomial is Eisenstein. (English) Zbl 1441.11247 Integers 18, Paper A101, 7 p. (2018). MSC: 11N32 11A41 PDF BibTeX XML Cite \textit{S. Ma} et al., Integers 18, Paper A101, 7 p. (2018; Zbl 1441.11247) Full Text: Link
Akman, Fusun Polynomials in base \(x\) and the prime-irreducible affinity. (English) Zbl 07063855 Missouri J. Math. Sci. 30, No. 2, 197-217 (2018). MSC: 11A41 11A63 11K16 11N32 11Y05 PDF BibTeX XML Cite \textit{F. Akman}, Missouri J. Math. Sci. 30, No. 2, 197--217 (2018; Zbl 07063855) Full Text: Euclid
Xiao, Stanley Yao Square-free values of decomposable forms. (English) Zbl 1441.11248 Can. J. Math. 70, No. 6, 1390-1415 (2018). MSC: 11N32 11N36 PDF BibTeX XML Cite \textit{S. Y. Xiao}, Can. J. Math. 70, No. 6, 1390--1415 (2018; Zbl 1441.11248) Full Text: Link arXiv
Thorner, Jesse; Zaman, Asif A Chebotarev variant of the Brun-Titchmarsh theorem and bounds for the Lang-Trotter conjectures. (English) Zbl 1447.11115 Int. Math. Res. Not. 2018, No. 16, 4991-5027 (2018). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R45 11E12 11F30 11G05 11N32 11R44 PDF BibTeX XML Cite \textit{J. Thorner} and \textit{A. Zaman}, Int. Math. Res. Not. 2018, No. 16, 4991--5027 (2018; Zbl 1447.11115) Full Text: DOI arXiv
Hajdu, L.; Sárközy, A. On multiplicative decompositions of polynomial sequences. II. (English) Zbl 1426.11097 Acta Arith. 186, No. 2, 191-200 (2018). Reviewer: Gennady Bachman (Las Vegas) MSC: 11N25 11N32 11D41 PDF BibTeX XML Cite \textit{L. Hajdu} and \textit{A. Sárközy}, Acta Arith. 186, No. 2, 191--200 (2018; Zbl 1426.11097) Full Text: DOI
De Koninck, Jean-Marie; Moineau, Matthieu Consecutive integers divisible by a power of their largest prime factor. (English) Zbl 1448.11172 J. Integer Seq. 21, No. 9, Article 18.9.3, 16 p. (2018). MSC: 11N25 11N32 PDF BibTeX XML Cite \textit{J.-M. De Koninck} and \textit{M. Moineau}, J. Integer Seq. 21, No. 9, Article 18.9.3, 16 p. (2018; Zbl 1448.11172) Full Text: Link
Hajdu, L.; Sárközy, A. On multiplicative decompositions of polynomial sequences. I. (English) Zbl 1452.11114 Acta Arith. 184, No. 2, 139-150 (2018). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11N25 11N32 11D09 PDF BibTeX XML Cite \textit{L. Hajdu} and \textit{A. Sárközy}, Acta Arith. 184, No. 2, 139--150 (2018; Zbl 1452.11114) Full Text: DOI
Zhou, Nian Hong Primes in higher-order progressions on average. (English) Zbl 1428.11166 Int. J. Number Theory 14, No. 7, 1943-1959 (2018). MSC: 11N32 11P55 11P32 11N13 PDF BibTeX XML Cite \textit{N. H. Zhou}, Int. J. Number Theory 14, No. 7, 1943--1959 (2018; Zbl 1428.11166) Full Text: DOI
Tenenbaum, Gérald A note on the local conjoint laws of the function number of prime factors. (Note sur les lois locales conjointes de la fonction nombre de facteurs premiers.) (French. English summary) Zbl 1441.11246 J. Number Theory 188, 88-95 (2018). MSC: 11N25 11N32 11N37 11N60 PDF BibTeX XML Cite \textit{G. Tenenbaum}, J. Number Theory 188, 88--95 (2018; Zbl 1441.11246) Full Text: DOI
Teräväinen, Joni The Goldbach problem for primes that are sums of two squares plus one. (English) Zbl 1428.11179 Mathematika 64, No. 1, 20-70 (2018). MSC: 11P32 11N32 11N36 PDF BibTeX XML Cite \textit{J. Teräväinen}, Mathematika 64, No. 1, 20--70 (2018; Zbl 1428.11179) Full Text: DOI arXiv
Kao, P.-H. Almost-prime polynomials at prime arguments. (English) Zbl 1420.11120 J. Number Theory 184, 85-106 (2018). MSC: 11N32 11N35 11N36 PDF BibTeX XML Cite \textit{P. H. Kao}, J. Number Theory 184, 85--106 (2018; Zbl 1420.11120) Full Text: DOI
Schinzel, Andrzej On some consequences of conjecture H. (English) Zbl 1439.11247 Dubickas, A. (ed.) et al., Analytic and probabilistic methods in number theory. Proceedings of the sixth international conference, Palanga, Lithuania, September 11–17, 2016. Vilnius: Vilnius University Publishing House. 179-183 (2017). MSC: 11N32 11R09 11R04 PDF BibTeX XML Cite \textit{A. Schinzel}, in: Analytic and probabilistic methods in number theory. Proceedings of the sixth international conference, Palanga, Lithuania, September 11--17, 2016. Vilnius: Vilnius University Publishing House. 179--183 (2017; Zbl 1439.11247)
Xiao, Stanley Yao Power-free values of binary forms and the global determinant method. (English) Zbl 1405.11035 Int. Math. Res. Not. 2017, No. 16, 5078-5135 (2017). MSC: 11D45 11E76 11N32 PDF BibTeX XML Cite \textit{S. Y. Xiao}, Int. Math. Res. Not. 2017, No. 16, 5078--5135 (2017; Zbl 1405.11035) Full Text: DOI
Gamero, Harold; Blanco, Jaider; Vergara, Gabriel Dirichlet’s theorem on \(F_q[t]\). (Spanish. English summary) Zbl 1414.11164 Rev. Integr. 35, No. 2, 163-187 (2017). MSC: 11T55 11N32 11R58 11T06 PDF BibTeX XML Cite \textit{H. Gamero} et al., Rev. Integr. 35, No. 2, 163--187 (2017; Zbl 1414.11164) Full Text: DOI
Fuentes, Frank; Meirose, Monta; Tou, Erik R. Quadratic prime-generating polynomials over the Gaussian integers. (English) Zbl 1384.11092 Pi Mu Epsilon J. 14, No. 6, 365-372 (2017). MSC: 11N32 11A41 PDF BibTeX XML Cite \textit{F. Fuentes} et al., Pi Mu Epsilon J. 14, No. 6, 365--372 (2017; Zbl 1384.11092)
Tomski, Andrzej; Zakarczemny, Maciej On some cancellation algorithms. (English) Zbl 1386.11017 Notes Number Theory Discrete Math. 23, No. 1, 101-114 (2017). MSC: 11A41 11N32 11N36 PDF BibTeX XML Cite \textit{A. Tomski} and \textit{M. Zakarczemny}, Notes Number Theory Discrete Math. 23, No. 1, 101--114 (2017; Zbl 1386.11017) Full Text: Link
Pollack, Paul Subgroup avoidance for primes dividing the values of a polynomial. (English) Zbl 1429.11183 Rocky Mt. J. Math. 47, No. 6, 2043-2050 (2017). MSC: 11N32 11A41 11N13 PDF BibTeX XML Cite \textit{P. Pollack}, Rocky Mt. J. Math. 47, No. 6, 2043--2050 (2017; Zbl 1429.11183) Full Text: DOI Euclid
Browning, T. D.; Gorodnik, A. Power-free values of polynomials on symmetric varieties. (English) Zbl 1429.11181 Proc. Lond. Math. Soc. (3) 114, No. 6, 1044-1080 (2017). MSC: 11N32 11D09 11D45 20G30 PDF BibTeX XML Cite \textit{T. D. Browning} and \textit{A. Gorodnik}, Proc. Lond. Math. Soc. (3) 114, No. 6, 1044--1080 (2017; Zbl 1429.11181) Full Text: DOI
Akbal, Yıldırım Friable values of Piatetski-Shapiro sequences. (English) Zbl 1432.11133 Proc. Am. Math. Soc. 145, No. 10, 4255-4268 (2017). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N32 11L03 11B83 PDF BibTeX XML Cite \textit{Y. Akbal}, Proc. Am. Math. Soc. 145, No. 10, 4255--4268 (2017; Zbl 1432.11133) Full Text: DOI
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 PDF BibTeX XML Cite \textit{D. R. Heath-Brown} and \textit{X. Li}, Invent. Math. 208, No. 2, 441--499 (2017; Zbl 1405.11124) Full Text: DOI
Wu, Jie; Xi, Ping Quadratic polynomials at prime arguments. (English) Zbl 1365.11109 Math. Z. 285, No. 1-2, 631-646 (2017). Reviewer: Giovanni Coppola (Avellino) MSC: 11N32 11N13 11N36 PDF BibTeX XML Cite \textit{J. Wu} and \textit{P. Xi}, Math. Z. 285, No. 1--2, 631--646 (2017; Zbl 1365.11109) Full Text: DOI arXiv
Martin, Greg; Miao, Winnie \(abc\) triples. (English) Zbl 1406.11099 Funct. Approximatio, Comment. Math. 55, No. 2, 145-176 (2016). MSC: 11N32 11N25 11N05 11R29 PDF BibTeX XML Cite \textit{G. Martin} and \textit{W. Miao}, Funct. Approximatio, Comment. Math. 55, No. 2, 145--176 (2016; Zbl 1406.11099) Full Text: DOI Euclid arXiv
Scourfield, Eira J. Exact divisors of polynomials with prime variable. (English) Zbl 1396.11116 Funct. Approximatio, Comment. Math. 55, No. 1, 83-104 (2016). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11N64 11N32 PDF BibTeX XML Cite \textit{E. J. Scourfield}, Funct. Approximatio, Comment. Math. 55, No. 1, 83--104 (2016; Zbl 1396.11116) Full Text: DOI Euclid
Hirano, Miki; Katata, Kohei; Yamasaki, Yoshinori Ramanujan Cayley graphs of Frobenius groups. (English) Zbl 1360.05097 Bull. Aust. Math. Soc. 94, No. 3, 373-383 (2016). MSC: 05C50 05C25 11M41 11N32 PDF BibTeX XML Cite \textit{M. Hirano} et al., Bull. Aust. Math. Soc. 94, No. 3, 373--383 (2016; Zbl 1360.05097) Full Text: DOI arXiv
Lapkova, K. On the \(k\)-free values of the polynomial \(xy^k + C\). (English) Zbl 1374.11081 Acta Math. Hung. 149, No. 1, 190-207 (2016). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N32 11N37 PDF BibTeX XML Cite \textit{K. Lapkova}, Acta Math. Hung. 149, No. 1, 190--207 (2016; Zbl 1374.11081) Full Text: DOI
Booker, Andrew R.; Browning, T. D. Square-free values of reducible polynomials. (English) Zbl 1423.11168 Discrete Anal. 2016, Paper No. 8, 16 p. (2016). MSC: 11N32 11N36 PDF BibTeX XML Cite \textit{A. R. Booker} and \textit{T. D. Browning}, Discrete Anal. 2016, Paper No. 8, 16 p. (2016; Zbl 1423.11168) Full Text: DOI arXiv
Bašić, Bojan On quotients of values of Euler’s function on the Catalan numbers. (English) Zbl 1409.11004 J. Number Theory 169, 160-173 (2016). MSC: 11A25 11N32 11N37 11B65 11A63 PDF BibTeX XML Cite \textit{B. Bašić}, J. Number Theory 169, 160--173 (2016; Zbl 1409.11004) Full Text: DOI
Phong, Bui Minh The functional equation \(f(p+n^4+m^4)=g(p)+h(n^4)+h(m^4)\). (English) Zbl 1389.11121 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 44, 109-117 (2015). MSC: 11N32 11Y70 39B52 PDF BibTeX XML Cite \textit{B. M. Phong}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 44, 109--117 (2015; Zbl 1389.11121)
Davis, Simon Prime values of meromorphic functions and irreducible polynomials. (English) Zbl 1366.11008 Notes Number Theory Discrete Math. 21, No. 4, 36-39 (2015). MSC: 11A41 11C08 11N32 PDF BibTeX XML Cite \textit{S. Davis}, Notes Number Theory Discrete Math. 21, No. 4, 36--39 (2015; Zbl 1366.11008) Full Text: Link
Andrianov, Anatoli N. On prime values of some quadratic polynomials. (English. Russian original) Zbl 1352.11089 J. Math. Sci., New York 207, No. 6, 803-807 (2015); translation from Zap. Nauchn. Semin. POMI 429, 5-10 (2014). MSC: 11N32 11N13 11A05 PDF BibTeX XML Cite \textit{A. N. Andrianov}, J. Math. Sci., New York 207, No. 6, 803--807 (2015; Zbl 1352.11089); translation from Zap. Nauchn. Semin. POMI 429, 5--10 (2014) Full Text: DOI
Tao, Terence; Ziegler, Tamar Narrow progressions in the primes. (English) Zbl 1391.11131 Pomerance, Carl (ed.) et al., Analytic number theory. In honor of Helmut Maier’s 60th birthday. Cham: Springer (ISBN 978-3-319-22239-4/hbk; 978-3-319-22240-0/ebook). 357-379 (2015). MSC: 11N32 11N13 11N05 PDF BibTeX XML Cite \textit{T. Tao} and \textit{T. Ziegler}, in: Analytic number theory. In honor of Helmut Maier's 60th birthday. Cham: Springer. 357--379 (2015; Zbl 1391.11131) Full Text: DOI
Irving, A. J. Almost-prime values of binary forms with one prime variable. (English) Zbl 1334.11077 Mathematika 61, No. 3, 741-755 (2015). Reviewer: Yong-Gao Chen (Nanjing) MSC: 11N32 11N36 PDF BibTeX XML Cite \textit{A. J. Irving}, Mathematika 61, No. 3, 741--755 (2015; Zbl 1334.11077) Full Text: DOI arXiv
Irving, A. J. The largest prime factor of \(X^3+2\). (English) Zbl 1384.11093 Acta Arith. 171, No. 1, 67-80 (2015). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N32 11N25 PDF BibTeX XML Cite \textit{A. J. Irving}, Acta Arith. 171, No. 1, 67--80 (2015; Zbl 1384.11093) Full Text: DOI
Shparlinski, Igor E. Small discriminants of complex multiplication fields of elliptic curves over finite fields. (English) Zbl 1363.11071 Czech. Math. J. 65, No. 2, 381-388 (2015). Reviewer: Sergey Stepanov (Moskva) MSC: 11G20 11N32 11R11 PDF BibTeX XML Cite \textit{I. E. Shparlinski}, Czech. Math. J. 65, No. 2, 381--388 (2015; Zbl 1363.11071) Full Text: DOI Link
Filaseta, M.; Graham, S.; Trifonov, O. Starting with gaps between \(k\)-free numbers. (English) Zbl 1333.11091 Int. J. Number Theory 11, No. 5, 1411-1435 (2015). Reviewer: Yong-Gao Chen (Nanjing) MSC: 11N25 11J54 11N32 11N37 11P21 PDF BibTeX XML Cite \textit{M. Filaseta} et al., Int. J. Number Theory 11, No. 5, 1411--1435 (2015; Zbl 1333.11091) Full Text: DOI
Irving, A. J. Almost-prime values of polynomials at prime arguments. (English) Zbl 1335.11077 Bull. Lond. Math. Soc. 47, No. 4, 593-606 (2015). Reviewer: Angel V. Kumchev (Towson) MSC: 11N32 11N36 PDF BibTeX XML Cite \textit{A. J. Irving}, Bull. Lond. Math. Soc. 47, No. 4, 593--606 (2015; Zbl 1335.11077) Full Text: DOI arXiv
Dartyge, Cécile Chebyshev’s problem for the twelfth cyclotomic polynomial. (Le problème de Tchébychev pour le douzième polynôme cyclotomique.) (French. English summary) Zbl 1323.11069 Proc. Lond. Math. Soc. (3) 111, No. 1, 1-62 (2015). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N32 11N36 11P21 11L07 11L26 PDF BibTeX XML Cite \textit{C. Dartyge}, Proc. Lond. Math. Soc. (3) 111, No. 1, 1--62 (2015; Zbl 1323.11069) Full Text: DOI
Eisner, Tanja A polynomial version of Sarnak’s conjecture. (Une version polynomiale de la conjecture de Sarnak.) (English. French summary) Zbl 1316.37008 C. R., Math., Acad. Sci. Paris 353, No. 7, 569-572 (2015). MSC: 37A45 11N32 PDF BibTeX XML Cite \textit{T. Eisner}, C. R., Math., Acad. Sci. Paris 353, No. 7, 569--572 (2015; Zbl 1316.37008) Full Text: DOI arXiv
de la Bretèche, R. Greatest first prime factor of values of entire polynomials (with an appendix written with Jean-François Mestre). (Plus grand facteur premier de valeurs de polynômes aux entiers.) (French. English summary) Zbl 1379.11083 Acta Arith. 169, No. 3, 221-250 (2015). Reviewer: Olivier Ramaré (Lille) MSC: 11N32 11L07 11N36 PDF BibTeX XML Cite \textit{R. de la Bretèche}, Acta Arith. 169, No. 3, 221--250 (2015; Zbl 1379.11083) Full Text: DOI
Gallot, Yves; Moree, Pieter Addendum to the paper: “Artin prime producing quadratics” by P. Moree. (English) Zbl 1317.11098 Abh. Math. Semin. Univ. Hamb. 85, No. 1, 87-88 (2015). MSC: 11N32 11A07 11B83 11Y16 PDF BibTeX XML Cite \textit{Y. Gallot} and \textit{P. Moree}, Abh. Math. Semin. Univ. Hamb. 85, No. 1, 87--88 (2015; Zbl 1317.11098) Full Text: DOI
Pasten, Hector The ABC conjecture, arithmetic progressions of primes and squarefree values of polynomials at prime arguments. (English) Zbl 1337.11065 Int. J. Number Theory 11, No. 3, 721-737 (2015). Reviewer: Paul Vojta (Berkeley) MSC: 11N32 11N13 11J97 11N36 PDF BibTeX XML Cite \textit{H. Pasten}, Int. J. Number Theory 11, No. 3, 721--737 (2015; Zbl 1337.11065) Full Text: DOI
Akbary, Amir; Scholten, Keilan Artin prime producing polynomials. (English) Zbl 1333.11005 Math. Comput. 84, No. 294, 1861-1882 (2015). Reviewer: Pieter Moree (Bonn) MSC: 11A07 11N32 PDF BibTeX XML Cite \textit{A. Akbary} and \textit{K. Scholten}, Math. Comput. 84, No. 294, 1861--1882 (2015; Zbl 1333.11005) Full Text: DOI arXiv
Reuss, T. Power-free values of polynomials. (English) Zbl 1320.11093 Bull. Lond. Math. Soc. 47, No. 2, 270-284 (2015). Reviewer: Yong-Gao Chen (Nanjing) MSC: 11N32 PDF BibTeX XML Cite \textit{T. Reuss}, Bull. Lond. Math. Soc. 47, No. 2, 270--284 (2015; Zbl 1320.11093) Full Text: DOI arXiv
Boyd, David W.; Martin, Greg; Thom, Mark Squarefree values of trinomial discriminants. (English) Zbl 1329.11103 LMS J. Comput. Math. 18, 148-169 (2015). Reviewer: Zaizhao Meng (Beijing) MSC: 11N32 11N05 PDF BibTeX XML Cite \textit{D. W. Boyd} et al., LMS J. Comput. Math. 18, 148--169 (2015; Zbl 1329.11103) Full Text: DOI arXiv
Ji, Qingzhong; Qin, Hourong CM elliptic curves and primes captured by quadratic polynomials. (English) Zbl 1315.11048 Asian J. Math. 18, No. 4, 707-726 (2014). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 11G15 11N32 PDF BibTeX XML Cite \textit{Q. Ji} and \textit{H. Qin}, Asian J. Math. 18, No. 4, 707--726 (2014; Zbl 1315.11048) Full Text: DOI Euclid
Helfgott, Harald Andrés Square-free values of \(f(p)\), \(f\) cubic. (English) Zbl 1316.11084 Acta Math. 213, No. 1, 107-135 (2014). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N32 11N35 PDF BibTeX XML Cite \textit{H. A. Helfgott}, Acta Math. 213, No. 1, 107--135 (2014; Zbl 1316.11084) Full Text: DOI
Murty, M. Ram; Pasten, Hector Counting squarefree values of polynomials with error term. (English) Zbl 1318.11122 Int. J. Number Theory 10, No. 7, 1743-1760 (2014). Reviewer: Mihály Szalay (Budapest) MSC: 11N32 11C08 11G32 11J71 11K36 11K38 PDF BibTeX XML Cite \textit{M. R. Murty} and \textit{H. Pasten}, Int. J. Number Theory 10, No. 7, 1743--1760 (2014; Zbl 1318.11122) Full Text: DOI
Cho, Bumkyu Integers of the form \(x^2 + ny^2\). (English) Zbl 1294.11160 Monatsh. Math. 174, No. 2, 195-204 (2014). MSC: 11N32 11R37 11F11 PDF BibTeX XML Cite \textit{B. Cho}, Monatsh. Math. 174, No. 2, 195--204 (2014; Zbl 1294.11160) Full Text: DOI
Browkin, Jerzy; Cao, Hui-Qin Modifications of the Eratosthenes sieve. (English) Zbl 1356.11004 Colloq. Math. 135, No. 1, 127-138 (2014). MSC: 11A41 11N32 11N36 PDF BibTeX XML Cite \textit{J. Browkin} and \textit{H.-Q. Cao}, Colloq. Math. 135, No. 1, 127--138 (2014; Zbl 1356.11004) Full Text: DOI
Carroll, C. R. Cyclic products of purely periodic irrationals. (English) Zbl 1360.11017 J. Integer Seq. 17, No. 4, Article 14.4.8, 12 p. (2014). MSC: 11A55 11N32 37D20 PDF BibTeX XML Cite \textit{C. R. Carroll}, J. Integer Seq. 17, No. 4, Article 14.4.8, 12 p. (2014; Zbl 1360.11017) Full Text: EMIS
Weintraub, Steven H. Values of polynomials over integral domains. (English) Zbl 1293.13006 Am. Math. Mon. 121, No. 1, 73-74 (2014). Reviewer: Giulio Peruginelli (Padova) MSC: 13F20 11N32 13G05 PDF BibTeX XML Cite \textit{S. H. Weintraub}, Am. Math. Mon. 121, No. 1, 73--74 (2014; Zbl 1293.13006) Full Text: DOI
Il’yasov, I. I. On the distribution of primes in polynomials of second degree with integer coefficients. (Russian. English summary) Zbl 1429.11182 Chebyshevskiĭ Sb. 14, No. 1(45), 56-60 (2013). MSC: 11N32 PDF BibTeX XML Cite \textit{I. I. Il'yasov}, Chebyshevskiĭ Sb. 14, No. 1(45), 56--60 (2013; Zbl 1429.11182) Full Text: MNR
Vaughan, R. C. Some problems of ‘Partitio numerorum’: hybrid expressions. (English) Zbl 1369.11069 Berndt, Bruce C. (ed.) et al., The legacy of Srinivasa Ramanujan. Proceedings of the international conference in celebration of the 125th anniversary of Ramanujan’s birth, University of Delhi, Delhi, India, December 17–22, 2012. Mysore: Ramanujan Mathematical Society (ISBN 978-93-80416-13-7/hbk). Ramanujan Mathematical Society Lecture Notes Series 20, 363-385 (2013). MSC: 11P55 11P05 11P32 11N32 11N35 PDF BibTeX XML Cite \textit{R. C. Vaughan}, Ramanujan Math. Soc. Lect. Notes Ser. 20, 363--385 (2013; Zbl 1369.11069)
Wolf, Marek Some conjectures on primes of the form \(m^2 + 1\). (English) Zbl 1302.11072 J. Comb. Number Theory 5, No. 2, 103-131 (2013). MSC: 11N32 11A41 11N05 PDF BibTeX XML Cite \textit{M. Wolf}, J. Comb. Number Theory 5, No. 2, 103--131 (2013; Zbl 1302.11072)
Shparlinski, Igor E. On the average number of square-free values of polynomials. (English) Zbl 1286.11149 Can. Math. Bull. 56, No. 4, 844-849 (2013). Reviewer: Florian Luca (Morelia) MSC: 11N32 PDF BibTeX XML Cite \textit{I. E. Shparlinski}, Can. Math. Bull. 56, No. 4, 844--849 (2013; Zbl 1286.11149) Full Text: DOI
Mollin, Richard A. New class number one criteria for real quadratic fields of Richaud-Degert type and prime-producing polynomials. (English) Zbl 1309.11077 Far East J. Math. Sci. (FJMS) 74, No. 2, 201-247 (2013). MSC: 11R29 11R11 11N32 PDF BibTeX XML Cite \textit{R. A. Mollin}, Far East J. Math. Sci. (FJMS) 74, No. 2, 201--247 (2013; Zbl 1309.11077) Full Text: Link
Foo, Timothy; Zhao, Liangyi On primes represented by cubic polynomials. (English) Zbl 1348.11069 Math. Z. 274, No. 1-2, 323-340 (2013). MSC: 11N32 11N13 11L05 11L07 PDF BibTeX XML Cite \textit{T. Foo} and \textit{L. Zhao}, Math. Z. 274, No. 1--2, 323--340 (2013; Zbl 1348.11069) Full Text: DOI arXiv
Heath-Brown, D. R. Power-free values of polynomials. (English) Zbl 1287.11114 Q. J. Math. 64, No. 1, 177-188 (2013). Reviewer: Christian Elsholtz (Graz) MSC: 11N32 11N37 PDF BibTeX XML Cite \textit{D. R. Heath-Brown}, Q. J. Math. 64, No. 1, 177--188 (2013; Zbl 1287.11114) Full Text: DOI
Sinlapavongsa, Sarat; Harnchoowong, Ajchara Primes of the form \(x^2+11y^2\) in \(\mathbb{Q}(\sqrt{2})\). (English) Zbl 1414.11111 Proceedings of the annual international conference on computational mathematics, computational geometry and statistics (CMCGS 2012), Singapore, January 30–31, 2012. Singapore: Global Science and Technology Forum (GSTF). 34-35 (2012). MSC: 11N32 PDF BibTeX XML Cite \textit{S. Sinlapavongsa} and \textit{A. Harnchoowong}, in: Proceedings of the annual international conference on computational mathematics, computational geometry and statistics (CMCGS 2012), Singapore, January 30--31, 2012. Singapore: Global Science and Technology Forum (GSTF). 34--35 (2012; Zbl 1414.11111)
Gorodnik, Alexander; Nevo, Amos Lifting, restricting and sifting integral points on affine homogeneous varieties. (English) Zbl 1307.11078 Compos. Math. 148, No. 6, 1695-1716 (2012). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11G35 11N36 11N32 11D79 PDF BibTeX XML Cite \textit{A. Gorodnik} and \textit{A. Nevo}, Compos. Math. 148, No. 6, 1695--1716 (2012; Zbl 1307.11078) Full Text: DOI arXiv
Ganguli, Himadri; Jankauskas, Jonas On the equation \(f(g(x))=f(x)h^m(x)\) for composite polynomials. (English) Zbl 1283.11057 J. Aust. Math. Soc. 92, No. 2, 155-161 (2012). Reviewer: Paulius Drungilas (Vilnius) MSC: 11B83 11C08 11D57 11N32 11R09 12D05 12E10 PDF BibTeX XML Cite \textit{H. Ganguli} and \textit{J. Jankauskas}, J. Aust. Math. Soc. 92, No. 2, 155--161 (2012; Zbl 1283.11057) Full Text: DOI arXiv
Guo, Ruting; Zhai, Wenguang Some problems about the ternary quadratic form \(m_1^2+m_2^2+m_3^2\). (English) Zbl 1270.11099 Acta Arith. 156, No. 2, 101-121 (2012). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11P55 11N37 11P32 11N32 11E25 PDF BibTeX XML Cite \textit{R. Guo} and \textit{W. Zhai}, Acta Arith. 156, No. 2, 101--121 (2012; Zbl 1270.11099) Full Text: DOI
Luca, Florian; Pollack, Paul How many primes can divide the values of a polynomial? (English) Zbl 1271.11089 Acta Arith. 156, No. 1, 19-27 (2012). Reviewer: Eira J. Scourfield (Egham) MSC: 11N32 11N37 11J68 PDF BibTeX XML Cite \textit{F. Luca} and \textit{P. Pollack}, Acta Arith. 156, No. 1, 19--27 (2012; Zbl 1271.11089) Full Text: DOI
Du, Bin; Qin, Hourong An expression for primes and its application to \(K_2\mathbb Q\). (English) Zbl 1269.11098 J. Pure Appl. Algebra 216, No. 7, 1637-1645 (2012). Reviewer: Kevin Hutchinson (Dublin) MSC: 11N32 11R70 19F15 PDF BibTeX XML Cite \textit{B. Du} and \textit{H. Qin}, J. Pure Appl. Algebra 216, No. 7, 1637--1645 (2012; Zbl 1269.11098) Full Text: DOI
Heath-Brown, D. R. Square-free values of \(n^2+1\). (English) Zbl 1312.11077 Acta Arith. 155, No. 1, 1-13 (2012). Reviewer: Angel V. Kumchev (Towson) MSC: 11N32 11D45 PDF BibTeX XML Cite \textit{D. R. Heath-Brown}, Acta Arith. 155, No. 1, 1--13 (2012; Zbl 1312.11077) Full Text: DOI arXiv
Xu, Shaoji On Euler polynomials and Rabinowitsch polynomials. (English) Zbl 1272.11107 Int. J. Algebra 6, No. 1-4, 123-134 (2012). Reviewer: Richard A. Mollin (Calgary) MSC: 11N32 PDF BibTeX XML Cite \textit{S. Xu}, Int. J. Algebra 6, No. 1--4, 123--134 (2012; Zbl 1272.11107) Full Text: Link
Le Boudec, Pierre Power-free values of the polynomial \(t_1\ldots t_r - 1\). (English) Zbl 1292.11112 Bull. Aust. Math. Soc. 85, No. 1, 154-163 (2012). Reviewer: Florian Luca (Morelia) MSC: 11N45 11N32 11L05 11L40 PDF BibTeX XML Cite \textit{P. Le Boudec}, Bull. Aust. Math. Soc. 85, No. 1, 154--163 (2012; Zbl 1292.11112) Full Text: DOI arXiv
Bary-Soroker, Lior Irreducible values of polynomials. (English) Zbl 1271.11114 Adv. Math. 229, No. 2, 854-874 (2012). Reviewer: Roberto Dvornicich (Pisa) MSC: 11T55 12E30 12J12 11N32 PDF BibTeX XML Cite \textit{L. Bary-Soroker}, Adv. Math. 229, No. 2, 854--874 (2012; Zbl 1271.11114) Full Text: DOI arXiv
Lemke Oliver, Robert J. Almost-primes represented by quadratic polynomials. (English) Zbl 1256.11049 Acta Arith. 151, No. 3, 241-261 (2012). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N36 11N32 PDF BibTeX XML Cite \textit{R. J. Lemke Oliver}, Acta Arith. 151, No. 3, 241--261 (2012; Zbl 1256.11049) Full Text: DOI
Tao, Terence Structure and randomness in the prime numbers. (English) Zbl 1314.11058 Schleicher, Dierk (ed.) et al., An invitation to mathematics. From competitions to research. With a preface by Günter M. Ziegler. Berlin: Springer (ISBN 978-3-642-19532-7/pbk; 978-3-642-19533-4/ebook). 1-7 (2011). MSC: 11N05 11N13 11N32 11N25 PDF BibTeX XML Cite \textit{T. Tao}, in: An invitation to mathematics. From competitions to research. With a preface by Günter M. Ziegler. Berlin: Springer. 1--7 (2011; Zbl 1314.11058) Full Text: DOI
Mollin, Richard A.; Srinivasan, Anitha Ideal class groups and generalized Euler-Rabinowitsch polynomials. (English) Zbl 1278.11097 Pioneer J. Math. Math. Sci. 1, No. 1, 1-17 (2011). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R11 11N32 11R29 11Y65 PDF BibTeX XML Cite \textit{R. A. Mollin} and \textit{A. Srinivasan}, Pioneer J. Math. Math. Sci. 1, No. 1, 1--17 (2011; Zbl 1278.11097) Full Text: Link
Browning, Tim The divisor problem for binary cubic forms. (English. French summary) Zbl 1271.11091 J. Théor. Nombres Bordx. 23, No. 3, 579-602 (2011). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N37 11N32 11D25 PDF BibTeX XML Cite \textit{T. Browning}, J. Théor. Nombres Bordx. 23, No. 3, 579--602 (2011; Zbl 1271.11091) Full Text: DOI EuDML
De Koninck, J.-M.; Doyon, N.; Kátai, I. Arithmetic functions evaluated at polynomial values. (English) Zbl 1240.11104 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 34, 95-114 (2011). MSC: 11N25 11N32 PDF BibTeX XML Cite \textit{J. M. De Koninck} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 34, 95--114 (2011; Zbl 1240.11104)
Mollin, Richard A.; Srinivasan, Anitha Euler-Rabinowitsch polynomials and class number problems revisited. (English) Zbl 1296.11138 Funct. Approximatio, Comment. Math. 45, No. 2, 271-288 (2011). MSC: 11R11 11R29 11N32 PDF BibTeX XML Cite \textit{R. A. Mollin} and \textit{A. Srinivasan}, Funct. Approximatio, Comment. Math. 45, No. 2, 271--288 (2011; Zbl 1296.11138) Full Text: DOI Euclid
Browning, T. D. Power-free values of polynomials. (English) Zbl 1252.11070 Arch. Math. 96, No. 2, 139-150 (2011). Reviewer: B. Z. Moroz (Bonn) MSC: 11N32 11D45 11G35 14G25 PDF BibTeX XML Cite \textit{T. D. Browning}, Arch. Math. 96, No. 2, 139--150 (2011; Zbl 1252.11070) Full Text: DOI
Browkin, J.; Schinzel, A. Prime factors of values of polynomials. (English) Zbl 1239.11102 Colloq. Math. 122, No. 1, 135-138 (2011). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11N32 11C08 11R11 11R27 PDF BibTeX XML Cite \textit{J. Browkin} and \textit{A. Schinzel}, Colloq. Math. 122, No. 1, 135--138 (2011; Zbl 1239.11102) Full Text: DOI
Nevo, Amos; Sarnak, Peter Prime and almost prime integral points on principal homogeneous spaces. (English) Zbl 1233.11102 Acta Math. 205, No. 2, 361-402 (2010). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N36 11C20 11N32 11N35 PDF BibTeX XML Cite \textit{A. Nevo} and \textit{P. Sarnak}, Acta Math. 205, No. 2, 361--402 (2010; Zbl 1233.11102) Full Text: DOI arXiv
Foo, Timothy The Bouniakowsky conjecture and the density of polynomial roots to prime moduli. (English) Zbl 1248.11069 Acta Arith. 144, No. 1, 1-4 (2010). Reviewer: Dmitriy Frolenkov (Moscow) MSC: 11N32 11B05 11C08 11K06 PDF BibTeX XML Cite \textit{T. Foo}, Acta Arith. 144, No. 1, 1--4 (2010; Zbl 1248.11069) Full Text: DOI arXiv