Ferrari, Matteo On a basic mean value theorem with explicit exponents. (English) Zbl 07505291 Int. J. Number Theory 18, No. 3, 673-690 (2022). MSC: 11N35 11N36 11N37 11N13 PDF BibTeX XML Cite \textit{M. Ferrari}, Int. J. Number Theory 18, No. 3, 673--690 (2022; Zbl 07505291) Full Text: DOI OpenURL
Halupczok, Karin; Munsch, Marc Large sieve estimate for multivariate polynomial moduli and applications. (English) Zbl 07493687 Monatsh. Math. 197, No. 3, 463-478 (2022). MSC: 11B57 11L07 11N32 11C08 11N36 PDF BibTeX XML Cite \textit{K. Halupczok} and \textit{M. Munsch}, Monatsh. Math. 197, No. 3, 463--478 (2022; Zbl 07493687) Full Text: DOI arXiv OpenURL
Akiyama, Shigeki Asymptotic formula for balanced words. (English) Zbl 07493019 J. Number Theory 236, 144-159 (2022). MSC: 11N37 11B57 68R15 PDF BibTeX XML Cite \textit{S. Akiyama}, J. Number Theory 236, 144--159 (2022; Zbl 07493019) Full Text: DOI arXiv OpenURL
Ye, Yangbo Bounds toward hypothesis S for cusp forms. (English) Zbl 07493018 J. Number Theory 236, 128-143 (2022). MSC: 11F12 11F30 PDF BibTeX XML Cite \textit{Y. Ye}, J. Number Theory 236, 128--143 (2022; Zbl 07493018) Full Text: DOI OpenURL
Norvidas, S. Some inequalities of the large sieve type. (English) Zbl 07491534 Acta Math. Hung. 166, No. 1, 205-215 (2022). MSC: 11L07 42A85 47A10 PDF BibTeX XML Cite \textit{S. Norvidas}, Acta Math. Hung. 166, No. 1, 205--215 (2022; Zbl 07491534) Full Text: DOI OpenURL
Baier, Stephan; Singh, Rajneesh Kumar The large sieve with square moduli in function fields. (English) Zbl 07485556 J. Number Theory 235, 420-464 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L40 11N35 PDF BibTeX XML Cite \textit{S. Baier} and \textit{R. K. Singh}, J. Number Theory 235, 420--464 (2022; Zbl 07485556) Full Text: DOI OpenURL
Fouvry, Étienne; Tenenbaum, Gérald Multiplicative functions in large arithmetic progressions and applications. (English) Zbl 07453318 Trans. Am. Math. Soc. 375, No. 1, 245-299 (2022). MSC: 11N37 11N25 11N36 11N60 PDF BibTeX XML Cite \textit{É. Fouvry} and \textit{G. Tenenbaum}, Trans. Am. Math. Soc. 375, No. 1, 245--299 (2022; Zbl 07453318) Full Text: DOI arXiv OpenURL
Jaming, Philippe; Speckbacher, Michael Concentration estimates for finite expansions of spherical harmonics on two-point homogeneous spaces via the large sieve principle. (English) Zbl 07444764 Sampl. Theory Signal Process. Data Anal. 19, No. 1, Paper No. 9, 22 p. (2021). Reviewer: Patrice Sawyer (Sudbury) MSC: 43A85 22F30 33C55 33C45 42C10 PDF BibTeX XML Cite \textit{P. Jaming} and \textit{M. Speckbacher}, Sampl. Theory Signal Process. Data Anal. 19, No. 1, Paper No. 9, 22 p. (2021; Zbl 07444764) Full Text: DOI arXiv OpenURL
Bansal, Arpit Large sieve for special characters to Gaussian prime square moduli. (English) Zbl 1473.11161 Funct. Approximatio, Comment. Math. 64, No. 1, 23-37 (2021). MSC: 11L40 11N35 PDF BibTeX XML Cite \textit{A. Bansal}, Funct. Approximatio, Comment. Math. 64, No. 1, 23--37 (2021; Zbl 1473.11161) Full Text: DOI OpenURL
Granville, Andrew An alternative to Vaughan’s identity. (English) Zbl 1482.11123 Riv. Mat. Univ. Parma (N.S.) 12, No. 1, 119-124 (2021). Reviewer: Florian Luca (Johannesburg) MSC: 11N13 PDF BibTeX XML Cite \textit{A. Granville}, Riv. Mat. Univ. Parma (N.S.) 12, No. 1, 119--124 (2021; Zbl 1482.11123) Full Text: arXiv Link OpenURL
Friedlander, John; Iwaniec, Henryk Sums over vanishing determinants. (English) Zbl 1479.11168 Riv. Mat. Univ. Parma (N.S.) 12, No. 1, 49-62 (2021). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N37 11N05 11N32 PDF BibTeX XML Cite \textit{J. Friedlander} and \textit{H. Iwaniec}, Riv. Mat. Univ. Parma (N.S.) 12, No. 1, 49--62 (2021; Zbl 1479.11168) Full Text: arXiv Link OpenURL
Abreu, Luís Daniel; Speckbacher, Michael Donoho-Logan large sieve principles for modulation and polyanalytic Fock spaces. (English) Zbl 1470.42055 Bull. Sci. Math. 171, Article ID 103032, 25 p. (2021). MSC: 42C15 46E15 46E20 11N36 94A12 30G30 PDF BibTeX XML Cite \textit{L. D. Abreu} and \textit{M. Speckbacher}, Bull. Sci. Math. 171, Article ID 103032, 25 p. (2021; Zbl 1470.42055) Full Text: DOI arXiv OpenURL
Gao, Peng; Zhao, Liangyi Moments of central values of quartic Dirichlet \(L\)-functions. (English) Zbl 07377289 J. Number Theory 228, 342-358 (2021). Reviewer: Stephan Baier (Hāoṛā) MSC: 11M06 11N36 11L05 PDF BibTeX XML Cite \textit{P. Gao} and \textit{L. Zhao}, J. Number Theory 228, 342--358 (2021; Zbl 07377289) Full Text: DOI arXiv OpenURL
Lau, Yuk-Kam; Ng, Ming Ho; Royer, Emmanuel; Wang, Yingnan A large sieve inequality of Elliott-Montgomery-Vaughan type for Maass forms on \(\mathrm{GL}(n,\mathbb{R})\) with applications. (English) Zbl 1480.11050 Rev. Mat. Iberoam. 37, No. 4, 1539-1552 (2021). Reviewer: Kaisa Matomäki (Turku) MSC: 11F30 11N35 PDF BibTeX XML Cite \textit{Y.-K. Lau} et al., Rev. Mat. Iberoam. 37, No. 4, 1539--1552 (2021; Zbl 1480.11050) Full Text: DOI arXiv OpenURL
Munsch, Marc A large sieve inequality for power moduli. (English) Zbl 1471.11248 Acta Arith. 197, No. 2, 207-211 (2021). Reviewer: John H. Loxton (Greenwich) MSC: 11N35 11B57 11L03 11L07 PDF BibTeX XML Cite \textit{M. Munsch}, Acta Arith. 197, No. 2, 207--211 (2021; Zbl 1471.11248) Full Text: DOI arXiv OpenURL
Thorner, Jesse; Zaman, Asif An unconditional \(\mathrm{GL}_n\) large sieve. (English) Zbl 1468.11113 Adv. Math. 378, Article ID 107529, 25 p. (2021). Reviewer: Nils Matthes (Oxford) MSC: 11F66 11F67 11M41 11R44 11F70 PDF BibTeX XML Cite \textit{J. Thorner} and \textit{A. Zaman}, Adv. Math. 378, Article ID 107529, 25 p. (2021; Zbl 1468.11113) Full Text: DOI arXiv OpenURL
Pomykała, Jacek; Radziejewski, Maciej Integer factoring and compositeness witnesses. (English) Zbl 1468.11244 J. Math. Cryptol. 14, 346-358 (2020). Reviewer: Markus Hittmeir (Wien) MSC: 11Y05 11Y11 11Y16 PDF BibTeX XML Cite \textit{J. Pomykała} and \textit{M. Radziejewski}, J. Math. Cryptol. 14, 346--358 (2020; Zbl 1468.11244) Full Text: DOI OpenURL
Grześkowiak, Maciej A variant of the large sieve inequality with explicit constants. (English) Zbl 1459.11183 J. Math. Cryptol. 14, 307-315 (2020). MSC: 11N36 11L40 68Q25 PDF BibTeX XML Cite \textit{M. Grześkowiak}, J. Math. Cryptol. 14, 307--315 (2020; Zbl 1459.11183) Full Text: DOI 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
Yamada, Tomohiro On the divisibility of odd perfect numbers, quasiperfect numbers and amicable numbers by a high power of a prime. (English) Zbl 1471.11014 Integers 20, Paper A91, 17 p. (2020). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 11A25 11N35 11A41 11B25 PDF BibTeX XML Cite \textit{T. Yamada}, Integers 20, Paper A91, 17 p. (2020; Zbl 1471.11014) Full Text: arXiv Link OpenURL
Baier, Stephan; Bansal, Arpit Large sieve with sparse sets of moduli for \(\mathbb{Z}[i]\). (English) Zbl 1461.11113 Acta Arith. 196, No. 1, 17-34 (2020). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L40 11N35 PDF BibTeX XML Cite \textit{S. Baier} and \textit{A. Bansal}, Acta Arith. 196, No. 1, 17--34 (2020; Zbl 1461.11113) Full Text: DOI arXiv OpenURL
Baier, Stephan; Kumar Singh, Rajneesh The large sieve inequality with square moduli for quadratic extensions of function fields. (English) Zbl 1465.11173 Int. J. Number Theory 16, No. 9, 1907-1922 (2020). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L03 11L07 11L40 11R58 11N35 PDF BibTeX XML Cite \textit{S. Baier} and \textit{R. Kumar Singh}, Int. J. Number Theory 16, No. 9, 1907--1922 (2020; Zbl 1465.11173) Full Text: DOI arXiv OpenURL
Perret-Gentil, Corentin Roots of \(L\)-functions of characters over function fields, generic linear independence and biases. (English) Zbl 1459.11228 Algebra Number Theory 14, No. 5, 1291-1329 (2020). MSC: 11T23 11J72 11N36 11R58 PDF BibTeX XML Cite \textit{C. Perret-Gentil}, Algebra Number Theory 14, No. 5, 1291--1329 (2020; Zbl 1459.11228) Full Text: DOI arXiv OpenURL
Boca, Florin P.; Radziwiłł, Maksym Limiting distribution of eigenvalues in the large sieve matrix. (English) Zbl 07227735 J. Eur. Math. Soc. (JEMS) 22, No. 7, 2287-2329 (2020). MSC: 11L07 11B57 11N35 PDF BibTeX XML Cite \textit{F. P. Boca} and \textit{M. Radziwiłł}, J. Eur. Math. Soc. (JEMS) 22, No. 7, 2287--2329 (2020; Zbl 07227735) Full Text: DOI arXiv OpenURL
Halupczok, Karin Bounds for discrete moments of Weyl sums and applications. (English) Zbl 1458.11129 Acta Arith. 194, No. 1, 1-28 (2020). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L15 11J54 PDF BibTeX XML Cite \textit{K. Halupczok}, Acta Arith. 194, No. 1, 1--28 (2020; Zbl 1458.11129) Full Text: DOI arXiv OpenURL
Speckbacher, M.; Hrycak, T. Concentration estimates for band-limited spherical harmonics expansions via the large sieve principle. (English) Zbl 1442.42067 J. Fourier Anal. Appl. 26, No. 3, Paper No. 38, 18 p. (2020). MSC: 42C10 11N36 33C55 33C45 46E15 46E20 PDF BibTeX XML Cite \textit{M. Speckbacher} and \textit{T. Hrycak}, J. Fourier Anal. Appl. 26, No. 3, Paper No. 38, 18 p. (2020; Zbl 1442.42067) Full Text: DOI arXiv OpenURL
Chandee, Vorrapan; Lee, Yoonbok \(n\)-level density of the low-lying zeros of primitive Dirichlet \(L\)-functions. (English) Zbl 1452.11100 Adv. Math. 369, Article ID 107185, 69 p. (2020). Reviewer: Roma Kačinskaitė (Kaunas) MSC: 11M06 60B20 15B52 11F66 PDF BibTeX XML Cite \textit{V. Chandee} and \textit{Y. Lee}, Adv. Math. 369, Article ID 107185, 69 p. (2020; Zbl 1452.11100) Full Text: DOI arXiv OpenURL
Gao, Peng; Zhao, Liangyi Moments of central values of cubic Hecke \(L\)-functions of \(\mathbb{Q}(i)\). (English) Zbl 07170268 Res. Number Theory 6, No. 1, Paper No. 14, 22 p. (2020). Reviewer: Maciej Radziejewski (Poznań) MSC: 11L40 11R16 11R42 PDF BibTeX XML Cite \textit{P. Gao} and \textit{L. Zhao}, Res. Number Theory 6, No. 1, Paper No. 14, 22 p. (2020; Zbl 07170268) Full Text: DOI arXiv OpenURL
Dryło, Robert; Pomykała, Jacek Integer factoring problem and elliptic curves over the ring \(\mathbb Z_n\). (English) Zbl 1476.11145 Colloq. Math. 159, No. 2, 259-284 (2020). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11Y05 14H52 11G07 11A15 11Y16 PDF BibTeX XML Cite \textit{R. Dryło} and \textit{J. Pomykała}, Colloq. Math. 159, No. 2, 259--284 (2020; Zbl 1476.11145) Full Text: DOI OpenURL
Sedunova, Alisa A logarithmic improvement in the Bombieri-Vinogradov theorem. (English. French summary) Zbl 1459.11180 J. Théor. Nombres Bordx. 31, No. 3, 635-651 (2019). Reviewer: Lajos Hajdu (Debrecen) MSC: 11N13 11N37 11N60 PDF BibTeX XML Cite \textit{A. Sedunova}, J. Théor. Nombres Bordx. 31, No. 3, 635--651 (2019; Zbl 1459.11180) Full Text: DOI arXiv OpenURL
Conrey, Brian; Iwaniec, Henryk; Soundararajan, Kannan The mean square of the product of a Dirichlet \(L\)-function and a Dirichlet polynomial. (English) Zbl 1454.11156 Funct. Approximatio, Comment. Math. 61, No. 2, 147-177 (2019). Reviewer: Stelian Mihalas (Timişoara) MSC: 11M06 PDF BibTeX XML Cite \textit{B. Conrey} et al., Funct. Approximatio, Comment. Math. 61, No. 2, 147--177 (2019; Zbl 1454.11156) Full Text: DOI arXiv Euclid OpenURL
Xiao, Xuanxuan; Xu, Zhao A large sieve inequality of Elliott-Montgomery-Vaughan type for automorphic forms on \(\mathrm{GL}_3\). (English) Zbl 1459.11116 Rev. Mat. Iberoam. 35, No. 6, 1693-1714 (2019). MSC: 11F30 11F72 11N36 PDF BibTeX XML Cite \textit{X. Xiao} and \textit{Z. Xu}, Rev. Mat. Iberoam. 35, No. 6, 1693--1714 (2019; Zbl 1459.11116) Full Text: DOI OpenURL
Baier, Stephan; Lynch, Sean B.; Zhao, Liangyi A lower bound for the large sieve with square moduli. (English) Zbl 1457.11130 Bull. Aust. Math. Soc. 100, No. 2, 225-229 (2019). Reviewer: Florian Luca (Johannesburg) MSC: 11N35 11L07 PDF BibTeX XML Cite \textit{S. Baier} et al., Bull. Aust. Math. Soc. 100, No. 2, 225--229 (2019; Zbl 1457.11130) Full Text: DOI arXiv OpenURL
Dąbrowski, Andrzej; Pomykała, Jacek On a Linnik problem for elliptic curves. (English) Zbl 1481.11048 Proc. Am. Math. Soc. 147, No. 9, 3759-3763 (2019). Reviewer: Sungkon Chang (Savannah) MSC: 11F30 11G05 11N36 PDF BibTeX XML Cite \textit{A. Dąbrowski} and \textit{J. Pomykała}, Proc. Am. Math. Soc. 147, No. 9, 3759--3763 (2019; Zbl 1481.11048) Full Text: DOI OpenURL
Landesman, Aaron; Swaminathan, Ashvin; Tao, James; Xu, Yujie Surjectivity of Galois representations in rational families of abelian varieties. (English) Zbl 1472.11169 Algebra Number Theory 13, No. 5, 995-1038 (2019). MSC: 11F80 11G10 11G30 11N36 11R32 12E25 PDF BibTeX XML Cite \textit{A. Landesman} et al., Algebra Number Theory 13, No. 5, 995--1038 (2019; Zbl 1472.11169) Full Text: DOI arXiv OpenURL
Hou, Fei; Chen, Bin Level aspect subconvexity for twisted \(L\)-functions. (English) Zbl 1472.11154 J. Number Theory 203, 12-31 (2019). MSC: 11F67 11F11 11L07 PDF BibTeX XML Cite \textit{F. Hou} and \textit{B. Chen}, J. Number Theory 203, 12--31 (2019; Zbl 1472.11154) Full Text: DOI OpenURL
Lou, Miao; Lü, Guangshi Triple correlations of ternary divisor functions. (English) Zbl 1461.11128 J. Number Theory 198, 318-345 (2019). MSC: 11N37 11F72 PDF BibTeX XML Cite \textit{M. Lou} and \textit{G. Lü}, J. Number Theory 198, 318--345 (2019; Zbl 1461.11128) Full Text: DOI OpenURL
Baier, Stephan; Singh, Rajneesh Kumar Large sieve inequality with power moduli for function fields. (English) Zbl 1448.11161 J. Number Theory 196, 1-13 (2019); erratum ibid. 210, 431-432 (2020). MSC: 11L40 11N35 PDF BibTeX XML Cite \textit{S. Baier} and \textit{R. K. Singh}, J. Number Theory 196, 1--13 (2019; Zbl 1448.11161) Full Text: DOI arXiv OpenURL
Halupczok, Karin Vinogradov’s mean value theorem as an ingredient in polynomial large sieve inequalities and some consequences. (English) Zbl 1441.11250 Pintz, János (ed.) et al., Irregularities in the distribution of prime numbers. From the era of Helmut Maier’s matrix method and beyond. Cham: Springer. 97-109 (2018). MSC: 11N35 11N25 PDF BibTeX XML Cite \textit{K. Halupczok}, in: Irregularities in the distribution of prime numbers. From the era of Helmut Maier's matrix method and beyond. Cham: Springer. 97--109 (2018; Zbl 1441.11250) Full Text: DOI OpenURL
Ford, Kevin; Maynard, James; Tao, Terence Chains of large gaps between primes. (English) Zbl 1456.11173 Pintz, János (ed.) et al., Irregularities in the distribution of prime numbers. From the era of Helmut Maier’s matrix method and beyond. Cham: Springer. 1-21 (2018). Reviewer: Stephan Baier (Haora) MSC: 11N05 11N25 PDF BibTeX XML Cite \textit{K. Ford} et al., in: Irregularities in the distribution of prime numbers. From the era of Helmut Maier's matrix method and beyond. Cham: Springer. 1--21 (2018; Zbl 1456.11173) Full Text: DOI arXiv OpenURL
Baier, S.; Bansal, A.; Singh, R. Kumar Divisibility problems for function fields. (English) Zbl 1424.11064 Acta Math. Hung. 156, No. 2, 435-448 (2018); corrigendum ibid. 160, No. 2, 519-521 (2020). MSC: 11B75 11N36 11L40 11P99 PDF BibTeX XML Cite \textit{S. Baier} et al., Acta Math. Hung. 156, No. 2, 435--448 (2018; Zbl 1424.11064) Full Text: DOI arXiv OpenURL
Baier, Stephan The large sieve with square norm moduli in \(\mathbb Z[i]\). (English. French summary) Zbl 1408.11079 J. Théor. Nombres Bordx. 30, No. 1, 93-115 (2018). MSC: 11L03 11N35 11R04 PDF BibTeX XML Cite \textit{S. Baier}, J. Théor. Nombres Bordx. 30, No. 1, 93--115 (2018; Zbl 1408.11079) Full Text: DOI arXiv OpenURL
Sedunova, Alisa A partial Bombieri-Vinogradov theorem with explicit constants. (English) Zbl 1440.11181 Algèbre et thèorie des nombres 2018. Besançon: Presses Universitaires de Franche-Comté. Publ. Math. Besançon, Algèbre Théor. Nombres 2018, 101-110 (2018). MSC: 11N13 11N05 11N36 PDF BibTeX XML Cite \textit{A. Sedunova}, Publ. Math. Besançon, Algèbre Théor. Nombres 2018, 101--110 (2018; Zbl 1440.11181) OpenURL
Baier, Stephan; Bansal, Arpit The large sieve with power moduli for \(\mathbb{Z}[i]\). (English) Zbl 1446.11152 Int. J. Number Theory 14, No. 10, 2737-2756 (2018). Reviewer: Florian Luca (Johannesburg) MSC: 11L40 11N35 PDF BibTeX XML Cite \textit{S. Baier} and \textit{A. Bansal}, Int. J. Number Theory 14, No. 10, 2737--2756 (2018; Zbl 1446.11152) Full Text: DOI arXiv OpenURL
Kalmynin, A. B. On Novák numbers. (English. Russian original) Zbl 1444.11009 Sb. Math. 209, No. 4, 491-502 (2018); translation from Mat. Sb. 209, No. 4, 26-37 (2018). MSC: 11A07 11A41 PDF BibTeX XML Cite \textit{A. B. Kalmynin}, Sb. Math. 209, No. 4, 491--502 (2018; Zbl 1444.11009); translation from Mat. Sb. 209, No. 4, 26--37 (2018) Full Text: DOI arXiv OpenURL
Shparlinski, Igor E. Character sums with smooth numbers. (English) Zbl 1415.11113 Arch. Math. 110, No. 5, 467-476 (2018). Reviewer: Olivier Ramaré (Marseille) MSC: 11L40 11N25 11N36 PDF BibTeX XML Cite \textit{I. E. Shparlinski}, Arch. Math. 110, No. 5, 467--476 (2018; Zbl 1415.11113) Full Text: DOI arXiv OpenURL
Lin, Yongxiao Triple correlations of Fourier coefficients of cusp forms. (English) Zbl 1401.11132 Ramanujan J. 45, No. 3, 841-858 (2018). MSC: 11N37 11F30 11F72 PDF BibTeX XML Cite \textit{Y. Lin}, Ramanujan J. 45, No. 3, 841--858 (2018; Zbl 1401.11132) Full Text: DOI arXiv OpenURL
Rodgers, Brad; Soundararajan, Kannan The variance of divisor sums in arithmetic progressions. (English) Zbl 1445.11008 Forum Math. 30, No. 2, 269-293 (2018). MSC: 11B25 11K65 11M50 11N37 PDF BibTeX XML Cite \textit{B. Rodgers} and \textit{K. Soundararajan}, Forum Math. 30, No. 2, 269--293 (2018; Zbl 1445.11008) Full Text: DOI arXiv OpenURL
Mallesham, Kummari Primes in sumsets. (English) Zbl 1393.11060 Arch. Math. 110, No. 2, 131-143 (2018). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N36 11N13 11B13 11A41 PDF BibTeX XML Cite \textit{K. Mallesham}, Arch. Math. 110, No. 2, 131--143 (2018; Zbl 1393.11060) Full Text: DOI arXiv OpenURL
Chang, Mei-Chu; Kerr, Bryce; Shparlinski, Igor E. On the exponential large sieve inequality for sparse sequences modulo primes. (English) Zbl 1430.11131 J. Math. Anal. Appl. 459, No. 1, 53-81 (2018). Reviewer: Huaning Liu (Shaanxi) MSC: 11N35 11L07 PDF BibTeX XML Cite \textit{M.-C. Chang} et al., J. Math. Anal. Appl. 459, No. 1, 53--81 (2018; Zbl 1430.11131) Full Text: DOI arXiv OpenURL
Halupczok, Karin A Bombieri-Vinogradov theorem with products of Gaussian primes as moduli. (English) Zbl 1427.11090 Funct. Approximatio, Comment. Math. 57, No. 1, 77-91 (2017). MSC: 11N36 11N05 PDF BibTeX XML Cite \textit{K. Halupczok}, Funct. Approximatio, Comment. Math. 57, No. 1, 77--91 (2017; Zbl 1427.11090) Full Text: DOI arXiv Euclid OpenURL
Durnoga, Konrad; Pomykała, Jacek Large sieve, Miller-Rabin compositeness witnesses and integer factoring problem. (English) Zbl 1434.11234 Fundam. Inform. 156, No. 2, 179-185 (2017). MSC: 11Y05 11Y16 PDF BibTeX XML Cite \textit{K. Durnoga} and \textit{J. Pomykała}, Fundam. Inform. 156, No. 2, 179--185 (2017; Zbl 1434.11234) Full Text: DOI OpenURL
Baker, Roger Primes in arithmetic progressions to spaced moduli. III. (English) Zbl 1426.11090 Acta Arith. 179, No. 2, 125-132 (2017). MSC: 11N13 PDF BibTeX XML Cite \textit{R. Baker}, Acta Arith. 179, No. 2, 125--132 (2017; Zbl 1426.11090) Full Text: DOI arXiv OpenURL
Hanson, Brandon; Vaughan, Robert C.; Zhang, Ruixiang The least number with prescribed Legendre symbols and representation by binary quadratic forms of small discriminant. (English) Zbl 1405.11038 J. Number Theory 179, 3-16 (2017). MSC: 11E04 11A07 11D85 PDF BibTeX XML Cite \textit{B. Hanson} et al., J. Number Theory 179, 3--16 (2017; Zbl 1405.11038) Full Text: DOI OpenURL
Joung, Haewon Weighted inequalities for generalized polynomials with doubling weights. (English) Zbl 1360.26014 J. Inequal. Appl. 2017, Paper No. 91, 14 p. (2017). MSC: 26D05 42A05 PDF BibTeX XML Cite \textit{H. Joung}, J. Inequal. Appl. 2017, Paper No. 91, 14 p. (2017; Zbl 1360.26014) Full Text: DOI OpenURL
Pomykała, Jacek Small generating sets and DLPC problem. (English) Zbl 1395.11137 Fundam. Inform. 145, No. 2, 143-150 (2016). MSC: 11Y05 11A51 PDF BibTeX XML Cite \textit{J. Pomykała}, Fundam. Inform. 145, No. 2, 143--150 (2016; Zbl 1395.11137) Full Text: DOI OpenURL
Shao, Xuancheng On an inverse ternary Goldbach problem. (English) Zbl 1372.11098 Am. J. Math. 138, No. 5, 1167-1191 (2016). MSC: 11P70 11P32 11N36 PDF BibTeX XML Cite \textit{X. Shao}, Am. J. Math. 138, No. 5, 1167--1191 (2016; Zbl 1372.11098) Full Text: DOI arXiv Link 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
Elliott, Peter D. T. A.; Kish, Jonathan Harmonic analysis on the positive rationals. I: Basic results. (English) Zbl 1370.11112 J. Math. Sci., Tokyo 23, No. 3, 569-614 (2016). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N37 11K65 11K70 11L40 11N05 11N13 11N64 43A40 PDF BibTeX XML Cite \textit{P. D. T. A. Elliott} and \textit{J. Kish}, J. Math. Sci., Tokyo 23, No. 3, 569--614 (2016; Zbl 1370.11112) Full Text: arXiv Link OpenURL
Shparlinski, Igor E. Ratios of small integers in multiplicative subgroups of residue rings. (English) Zbl 1403.11062 Exp. Math. 25, No. 3, 273-280 (2016). MSC: 11N36 11A07 11L40 PDF BibTeX XML Cite \textit{I. E. Shparlinski}, Exp. Math. 25, No. 3, 273--280 (2016; Zbl 1403.11062) Full Text: DOI OpenURL
Ramaré, Olivier Modified truncated Perron formulae. (English. French summary) Zbl 1404.11115 Ann. Math. Blaise Pascal 23, No. 1, 109-128 (2016). MSC: 11N35 PDF BibTeX XML Cite \textit{O. Ramaré}, Ann. Math. Blaise Pascal 23, No. 1, 109--128 (2016; Zbl 1404.11115) Full Text: DOI OpenURL
de la Bretèche, Régis; Tenenbaum, Gérald On the friable Turán-Kubilius inequality. (Sur l’inégalité de Turán-Kubilius friable.) (French. English summary) Zbl 1346.11050 J. Lond. Math. Soc., II. Ser. 93, No. 1, 175-193 (2016). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N25 11N60 11N37 PDF BibTeX XML Cite \textit{R. de la Bretèche} and \textit{G. Tenenbaum}, J. Lond. Math. Soc., II. Ser. 93, No. 1, 175--193 (2016; Zbl 1346.11050) Full Text: DOI OpenURL
Chen, Guohua On monochromatic sums of squares of primes. (English) Zbl 1402.11122 J. Number Theory 162, 180-189 (2016). MSC: 11P32 11P55 11N36 11L15 PDF BibTeX XML Cite \textit{G. Chen}, J. Number Theory 162, 180--189 (2016; Zbl 1402.11122) Full Text: DOI OpenURL
Rivat, Joël; Sárközy, András On arithmetic properties of products and shifted products. (English) Zbl 1390.11110 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). 345-355 (2015). MSC: 11N25 11K45 PDF BibTeX XML Cite \textit{J. Rivat} and \textit{A. Sárközy}, in: Analytic number theory. In honor of Helmut Maier's 60th birthday. Cham: Springer. 345--355 (2015; Zbl 1390.11110) Full Text: DOI OpenURL
Shao, Xuancheng Polynomial values modulo primes on average and sharpness of the larger sieve. (English) Zbl 1331.11083 Algebra Number Theory 9, No. 10, 2325-2346 (2015). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11N35 11R45 PDF BibTeX XML Cite \textit{X. Shao}, Algebra Number Theory 9, No. 10, 2325--2346 (2015; Zbl 1331.11083) Full Text: DOI arXiv OpenURL
Aryan, Farzad Distribution of squares modulo a composite number. (English) Zbl 1372.11095 Int. Math. Res. Not. 2015, No. 23, 12405-12431 (2015). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N36 11N35 11N69 11L07 PDF BibTeX XML Cite \textit{F. Aryan}, Int. Math. Res. Not. 2015, No. 23, 12405--12431 (2015; Zbl 1372.11095) Full Text: DOI arXiv OpenURL
Baier, Stephan; Derenthal, Ulrich Quadratic congruences on average and rational points on cubic surfaces. (English) Zbl 1394.11029 Acta Arith. 171, No. 2, 145-171 (2015). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11D45 11L40 11G35 14G05 PDF BibTeX XML Cite \textit{S. Baier} and \textit{U. Derenthal}, Acta Arith. 171, No. 2, 145--171 (2015; Zbl 1394.11029) Full Text: DOI arXiv OpenURL
Halupczok, Karin Large sieve inequalities with general polynomial moduli. (English) Zbl 1322.11100 Q. J. Math. 66, No. 2, 529-545 (2015). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N35 11N36 11N56 PDF BibTeX XML Cite \textit{K. Halupczok}, Q. J. Math. 66, No. 2, 529--545 (2015; Zbl 1322.11100) Full Text: DOI OpenURL
Choi, Stephen; Erdélyi, Tamás Sums of monomials with large Mahler measure. (English) Zbl 1397.11146 J. Approx. Theory 197, 49-61 (2015). MSC: 11R06 30C10 PDF BibTeX XML Cite \textit{S. Choi} and \textit{T. Erdélyi}, J. Approx. Theory 197, 49--61 (2015; Zbl 1397.11146) Full Text: DOI OpenURL
Akhilesh, P.; Ramana, D. S. A chromatic version of Lagrange’s four squares theorem. (English) Zbl 1317.11099 Monatsh. Math. 176, No. 1, 17-29 (2015). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N36 11E25 11P55 PDF BibTeX XML Cite \textit{P. Akhilesh} and \textit{D. S. Ramana}, Monatsh. Math. 176, No. 1, 17--29 (2015; Zbl 1317.11099) Full Text: DOI OpenURL
Kowalski, Emmanuel Sieves in discrete groups, especially sparse. (English) Zbl 1361.11057 Breuillard, Emmanuel (ed.) et al., Thin groups and superstrong approximation. Selected papers based on the presentations at the workshop held at MSRI, Berkeley, CA, USA, February 6–10, 2012. Cambridge: Cambridge University Press (ISBN 978-1-107-03685-7/hbk). Mathematical Sciences Research Institute Publications 61, 107-140 (2014). MSC: 11N35 11N36 11F06 PDF BibTeX XML Cite \textit{E. Kowalski}, Math. Sci. Res. Inst. Publ. 61, 107--140 (2014; Zbl 1361.11057) Full Text: arXiv OpenURL
Blomer, Valentin; Goldmakher, Leo; Louvel, Benoît \(L\)-functions with \(n\)-th-order twists. (English) Zbl 1328.11090 Int. Math. Res. Not. 2014, No. 7, 1925-1955 (2014). Reviewer: Solomon Friedberg (Chestnut Hill) MSC: 11M06 11F66 11F68 11N35 11R42 PDF BibTeX XML Cite \textit{V. Blomer} et al., Int. Math. Res. Not. 2014, No. 7, 1925--1955 (2014; Zbl 1328.11090) Full Text: DOI arXiv OpenURL
Chamizo, Fernando; Raboso, Dulcinea Distributional properties of powers of matrices. (English) Zbl 1349.11131 Czech. Math. J. 64, No. 3, 801-817 (2014). MSC: 11N36 11C20 11L05 PDF BibTeX XML Cite \textit{F. Chamizo} and \textit{D. Raboso}, Czech. Math. J. 64, No. 3, 801--817 (2014; Zbl 1349.11131) Full Text: DOI Link OpenURL
Watt, Nigel Weighted fourth moments of Hecke zeta functions with groessencharacters. (English) Zbl 1357.11086 Mosc. J. Comb. Number Theory 4, No. 2, 3-118 (2014). MSC: 11M41 11F30 11F37 11F72 11L05 PDF BibTeX XML Cite \textit{N. Watt}, Mosc. J. Comb. Number Theory 4, No. 2, 3--118 (2014; Zbl 1357.11086) Full Text: arXiv OpenURL
Green, Ben; Harper, Adam J. Inverse questions for the large sieve. (English) Zbl 1316.11085 Geom. Funct. Anal. 24, No. 4, 1167-1203 (2014). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N35 PDF BibTeX XML Cite \textit{B. Green} and \textit{A. J. Harper}, Geom. Funct. Anal. 24, No. 4, 1167--1203 (2014; Zbl 1316.11085) Full Text: DOI arXiv Link OpenURL
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 arXiv OpenURL
Yao, Weili A Barban-Davenport-Halberstam theorem for integers with fixed number of prime divisors. (English) Zbl 1358.11103 Sci. China, Math. 57, No. 10, 2103-2110 (2014). MSC: 11N25 11N13 11N36 PDF BibTeX XML Cite \textit{W. Yao}, Sci. China, Math. 57, No. 10, 2103--2110 (2014; Zbl 1358.11103) Full Text: DOI OpenURL
Vaughan, R. C. Integer points on elliptic curves. (English) Zbl 1311.11048 Rocky Mt. J. Math. 44, No. 4, 1377-1382 (2014). Reviewer: Shabnam Akhtari (Eugene) MSC: 11G05 11D45 11N36 PDF BibTeX XML Cite \textit{R. C. Vaughan}, Rocky Mt. J. Math. 44, No. 4, 1377--1382 (2014; Zbl 1311.11048) Full Text: DOI Euclid OpenURL
Coppola, Giovanni On some lower bounds of some symmetry integrals. (English) Zbl 1304.11107 Afr. Mat. 25, No. 1, 183-195 (2014). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N37 11N25 PDF BibTeX XML Cite \textit{G. Coppola}, Afr. Mat. 25, No. 1, 183--195 (2014; Zbl 1304.11107) Full Text: DOI arXiv OpenURL
Chandee, Vorrapan; Lee, Yoonbok; Liu, Sheng-Chi; Radziwiłł, Maksym Simple zeros of primitive Dirichlet \(L\)-functions and the asymptotic large sieve. (English) Zbl 1303.11096 Q. J. Math. 65, No. 1, 63-87 (2014). Reviewer: Giovanni Coppola (Avellino) MSC: 11M06 11M26 PDF BibTeX XML Cite \textit{V. Chandee} et al., Q. J. Math. 65, No. 1, 63--87 (2014; Zbl 1303.11096) Full Text: DOI arXiv OpenURL
Watt, Nigel Spectral large sieve inequalities for Hecke congruence subgroups of \(\mathrm{SL}(2,\mathbb{Z}[i])\). (English) Zbl 1312.11032 J. Number Theory 140, 349-424 (2014). Reviewer: Ilker Inam (Bilecik) MSC: 11F30 11F37 11F72 11L05 11L07 11N35 PDF BibTeX XML Cite \textit{N. Watt}, J. Number Theory 140, 349--424 (2014; Zbl 1312.11032) Full Text: DOI arXiv OpenURL
Ramana, D. S.; Ramaré, O. Additive energy of dense sets of primes and monochromatic sums. (English) Zbl 1358.11022 Isr. J. Math. 199, Part B, 955-974 (2014). MSC: 11B13 11B05 11P32 11N36 PDF BibTeX XML Cite \textit{D. S. Ramana} and \textit{O. Ramaré}, Isr. J. Math. 199, Part B, 955--974 (2014; Zbl 1358.11022) Full Text: DOI HAL OpenURL
Chandee, Vorrapan; Li, Xiannan The eighth moment of Dirichlet \(L\)-functions. (English) Zbl 1295.11087 Adv. Math. 259, 339-375 (2014). Reviewer: Hung M. Bui (Bristol) MSC: 11M06 11M26 PDF BibTeX XML Cite \textit{V. Chandee} and \textit{X. Li}, Adv. Math. 259, 339--375 (2014; Zbl 1295.11087) Full Text: DOI arXiv OpenURL
Èminyan, K. M. The Goldbach problem with primes having binary expansions of a special form. (English) Zbl 1286.11157 Izv. Math. 78, No. 1, 201-211 (2014); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 78, No. 1, 215-224 (2014). MSC: 11P32 11N36 PDF BibTeX XML Cite \textit{K. M. Èminyan}, Izv. Math. 78, No. 1, 201--211 (2014; Zbl 1286.11157); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 78, No. 1, 215--224 (2014) Full Text: DOI OpenURL
Wang, Yingnan A large sieve inequality of Elliott-Montgomery-Vaughan type for Maass forms with applications to Linnik’s problem. (English) Zbl 1322.11101 J. Number Theory 136, 65-86 (2014). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N35 11F37 11F60 11F66 11F30 PDF BibTeX XML Cite \textit{Y. Wang}, J. Number Theory 136, 65--86 (2014; Zbl 1322.11101) Full Text: DOI OpenURL
Arcidiacono, Peter; Bayer, Patrick; Bugni, Federico A.; James, Jonathan Approximating high-dimensional dynamic models: sieve value function iteration. (English) Zbl 1452.91199 Choo, Eugene (ed.) et al., Structural econometric models. Bingley: Emerald. Adv. Econom. 31, 45-95 (2013). MSC: 91B55 91B06 PDF BibTeX XML Cite \textit{P. Arcidiacono} et al., Adv. Econom. 31, 45--95 (2013; Zbl 1452.91199) Full Text: DOI OpenURL
Ramana, D. S. Representation of integers as chromatic sums of primes. (English) Zbl 1358.11104 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, 335-346 (2013). MSC: 11N36 11P32 PDF BibTeX XML Cite \textit{D. S. Ramana}, Ramanujan Math. Soc. Lect. Notes Ser. 20, 335--346 (2013; Zbl 1358.11104) OpenURL
Jones, Nathan Pairs of elliptic curves with maximal Galois representations. (English) Zbl 1295.11061 J. Number Theory 133, No. 10, 3381-3393 (2013). MSC: 11G05 11N35 11F80 PDF BibTeX XML Cite \textit{N. Jones}, J. Number Theory 133, No. 10, 3381--3393 (2013; Zbl 1295.11061) Full Text: DOI OpenURL
Graves, Hester Growth results and Euclidean ideals. (English) Zbl 1290.11140 J. Number Theory 133, No. 8, 2756-2769 (2013). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R04 13F07 11N36 PDF BibTeX XML Cite \textit{H. Graves}, J. Number Theory 133, No. 8, 2756--2769 (2013; Zbl 1290.11140) Full Text: DOI arXiv OpenURL
Blomer, Valentin Applications of the Kuznetsov formula on \(\mathrm{GL}(3)\). (English) Zbl 1292.11064 Invent. Math. 194, No. 3, 673-729 (2013). Reviewer: Salah Mehdi (Metz) MSC: 11F72 11F66 PDF BibTeX XML Cite \textit{V. Blomer}, Invent. Math. 194, No. 3, 673--729 (2013; Zbl 1292.11064) Full Text: DOI arXiv OpenURL
Watt, Nigel Weighted spectral large sieve inequalities for Hecke congruence subgroups of \(\mathrm{SL}(2,\mathbb{Z}[i])\). (English) Zbl 1277.11041 Funct. Approximatio, Comment. Math. 48, No. 2, 213-376 (2013). Reviewer: Lejla Smajlovic (Sarajevo) MSC: 11F30 11N37 11F70 11F72 11L05 11L07 11M41 11N13 11N35 11R42 11R44 PDF BibTeX XML Cite \textit{N. Watt}, Funct. Approximatio, Comment. Math. 48, No. 2, 213--376 (2013; Zbl 1277.11041) Full Text: DOI arXiv Euclid OpenURL
Young, Matthew P. The second moment of \(\mathrm{GL}(3) \times\mathrm{GL}(2)\) \(L\)-functions at special points. (English) Zbl 1312.11038 Math. Ann. 356, No. 3, 1005-1028 (2013). Reviewer: Neven Grbac (Rijeka) MSC: 11F66 11F67 11F72 11N36 PDF BibTeX XML Cite \textit{M. P. Young}, Math. Ann. 356, No. 3, 1005--1028 (2013; Zbl 1312.11038) Full Text: DOI arXiv OpenURL
Chan, Tsz Ho; Tsang, Kai Man Squarefull numbers in arithmetic progressions. (English) Zbl 1290.11130 Int. J. Number Theory 9, No. 4, 885-901 (2013). MSC: 11N25 11B25 11N36 PDF BibTeX XML Cite \textit{T. H. Chan} and \textit{K. M. Tsang}, Int. J. Number Theory 9, No. 4, 885--901 (2013; Zbl 1290.11130) Full Text: DOI OpenURL
Young, Matthew P. The third moment of quadratic Dirichlet \(L\)-functions. (English) Zbl 1303.11099 Sel. Math., New Ser. 19, No. 2, 509-543 (2013). Reviewer: Giovanni Coppola (Avellino) MSC: 11M06 PDF BibTeX XML Cite \textit{M. P. Young}, Sel. Math., New Ser. 19, No. 2, 509--543 (2013; Zbl 1303.11099) Full Text: DOI arXiv OpenURL
Murty, M. Ram; Petersen, Kathleen L. The Euclidean algorithm for number fields and primitive roots. (English) Zbl 1309.11005 Proc. Am. Math. Soc. 141, No. 1, 181-190 (2013). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11A07 11N36 11R21 PDF BibTeX XML Cite \textit{M. R. Murty} and \textit{K. L. Petersen}, Proc. Am. Math. Soc. 141, No. 1, 181--190 (2013; Zbl 1309.11005) Full Text: DOI OpenURL
Gao, Peng; Zhao, Liangyi Large sieve inequalities for quartic characters. (English) Zbl 1282.11104 Q. J. Math. 63, No. 4, 891-917 (2012). Reviewer: Zaizhao Meng (Beijing) MSC: 11L40 11N35 11L05 PDF BibTeX XML Cite \textit{P. Gao} and \textit{L. Zhao}, Q. J. Math. 63, No. 4, 891--917 (2012; Zbl 1282.11104) Full Text: DOI arXiv Link OpenURL
Conrey, J. B.; Iwaniec, H.; Soundararajan, K. Small gaps between zeros of twisted \(L\)-functions. (English) Zbl 1308.11075 Acta Arith. 155, No. 4, 353-371 (2012). MSC: 11M06 11M26 11N36 PDF BibTeX XML Cite \textit{J. B. Conrey} et al., Acta Arith. 155, No. 4, 353--371 (2012; Zbl 1308.11075) Full Text: DOI arXiv OpenURL
Lewko, Allison; Lewko, Mark A variational Barban-Davenport-Halberstam theorem. (English) Zbl 1315.11079 J. Number Theory 132, No. 9, 2020-2045 (2012). Reviewer: Giovanni Coppola (Avellino) MSC: 11N13 11N36 PDF BibTeX XML Cite \textit{A. Lewko} and \textit{M. Lewko}, J. Number Theory 132, No. 9, 2020--2045 (2012; Zbl 1315.11079) Full Text: DOI arXiv OpenURL
Fletcher, S. Adam; Nielsen, Pace P.; Ochem, Pascal Sieve methods for odd perfect numbers. (English) Zbl 1268.11004 Math. Comput. 81, No. 279, 1753-1776 (2012). Reviewer: Eira J. Scourfield (Egham) MSC: 11A25 11N36 11A51 11Y99 PDF BibTeX XML Cite \textit{S. A. Fletcher} et al., Math. Comput. 81, No. 279, 1753--1776 (2012; Zbl 1268.11004) Full Text: DOI OpenURL
Djanković, Goran A larger \(\mathrm{GL}_2\) large sieve in the level aspect. (English) Zbl 1280.11024 Cent. Eur. J. Math. 10, No. 2, 748-760 (2012). MSC: 11F30 11F11 11N75 11N36 PDF BibTeX XML Cite \textit{G. Djanković}, Cent. Eur. J. Math. 10, No. 2, 748--760 (2012; Zbl 1280.11024) Full Text: DOI OpenURL