Dartyge, Cécile; Martin, Bruno; Rivat, Joël; Shparlinski, Igor E.; Swaenepoel, Cathy Reversible primes. (English) Zbl 07825018 J. Lond. Math. Soc., II. Ser. 109, No. 3, Article ID e12883, 38 p. (2024). MSC: 11A63 11N05 11N36 PDFBibTeX XMLCite \textit{C. Dartyge} et al., J. Lond. Math. Soc., II. Ser. 109, No. 3, Article ID e12883, 38 p. (2024; Zbl 07825018) Full Text: DOI arXiv
Li, Guoquan Enveloping sieve related to the Hardy-Littlewood irreducible tuple conjecture in a function field. (English) Zbl 07814057 Finite Fields Appl. 95, Article ID 102383, 57 p. (2024). MSC: 11N36 11T06 11T55 PDFBibTeX XMLCite \textit{G. Li}, Finite Fields Appl. 95, Article ID 102383, 57 p. (2024; Zbl 07814057) Full Text: DOI
Carrillo Santana, Sebastián The first negative Fourier coefficient of an Eisenstein series newform. (English) Zbl 07812005 Ramanujan J. 63, No. 3, 687-697 (2024). Reviewer: İlker İnam (Bilecik) MSC: 11F30 11N36 PDFBibTeX XMLCite \textit{S. Carrillo Santana}, Ramanujan J. 63, No. 3, 687--697 (2024; Zbl 07812005) Full Text: DOI arXiv OA License
Zhu, Wenbin Some problems about friable numbers in Piatetski-Shapiro sequence. (English) Zbl 07812002 Ramanujan J. 63, No. 3, 603-656 (2024). Reviewer: Giovanni Coppola (Napoli) MSC: 11L07 11N25 11B83 11J71 11P32 11N36 PDFBibTeX XMLCite \textit{W. Zhu}, Ramanujan J. 63, No. 3, 603--656 (2024; Zbl 07812002) Full Text: DOI
Matomäki, Kaisa; Teräväinen, Joni Products of primes in arithmetic progressions. (English) Zbl 07810139 J. Reine Angew. Math. 808, 193-240 (2024). MSC: 11N13 11P32 11N36 PDFBibTeX XMLCite \textit{K. Matomäki} and \textit{J. Teräväinen}, J. Reine Angew. Math. 808, 193--240 (2024; Zbl 07810139) Full Text: DOI arXiv
Mangerel, Alexander P. Large sums of high-order characters. (English) Zbl 07809014 J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12841, 44 p. (2024). MSC: 11L40 11N64 11P70 11N25 11N36 PDFBibTeX XMLCite \textit{A. P. Mangerel}, J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12841, 44 p. (2024; Zbl 07809014) Full Text: DOI arXiv OA License
Nath, Kunjakanan Primes with a missing digit: distribution in arithmetic progressions and an application in sieve theory. (English) Zbl 07809010 J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12837, 59 p. (2024). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N05 11N13 11N36 PDFBibTeX XMLCite \textit{K. Nath}, J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12837, 59 p. (2024; Zbl 07809010) Full Text: DOI arXiv
Li, Jinjiang; Xue, Fei; Zhang, Min A quaternary Diophantine inequality with prime numbers of a special form. (English) Zbl 07796578 Ramanujan J. 63, No. 2, 259-291 (2024). MSC: 11L07 11L20 11P05 11P32 11N36 PDFBibTeX XMLCite \textit{J. Li} et al., Ramanujan J. 63, No. 2, 259--291 (2024; Zbl 07796578) Full Text: DOI
Banerjee, Soumyarup On a conjecture of Sun about sums of restricted squares. (English) Zbl 07794613 J. Number Theory 256, 253-289 (2024). MSC: 11F37 11F11 11E25 11E45 11N36 11P05 PDFBibTeX XMLCite \textit{S. Banerjee}, J. Number Theory 256, 253--289 (2024; Zbl 07794613) Full Text: DOI arXiv
Dunn, Alexander Metaplectic cusp forms and the large sieve. arXiv:2403.13151 Preprint, arXiv:2403.13151 [math.NT] (2024). MSC: 11F27 11F30 11L05 11L20 11N36 BibTeX Cite \textit{A. Dunn}, ``Metaplectic cusp forms and the large sieve'', Preprint, arXiv:2403.13151 [math.NT] (2024) Full Text: arXiv OA License
Fernández, José L.; Fernández, Pablo Counting coprime pairs in random squares. arXiv:2403.12752 Preprint, arXiv:2403.12752 [math.NT] (2024). MSC: 11K65 11N36 11A51 BibTeX Cite \textit{J. L. Fernández} and \textit{P. Fernández}, ``Counting coprime pairs in random squares'', Preprint, arXiv:2403.12752 [math.NT] (2024) Full Text: arXiv OA License
Banks, William D. Consecutive primes and IP sets. arXiv:2403.10637 Preprint, arXiv:2403.10637 [math.NT] (2024). MSC: 11N05 11N36 11B75 BibTeX Cite \textit{W. D. Banks}, ``Consecutive primes and IP sets'', Preprint, arXiv:2403.10637 [math.NT] (2024) Full Text: arXiv OA License
Browning, Tim; Verzobio, Matteo Strong divisibility sequences and sieve methods. arXiv:2402.19301 Preprint, arXiv:2402.19301 [math.NT] (2024). MSC: 11N36 11A41 11A51 11B39 11B83 11G05 BibTeX Cite \textit{T. Browning} and \textit{M. Verzobio}, ``Strong divisibility sequences and sieve methods'', Preprint, arXiv:2402.19301 [math.NT] (2024) Full Text: arXiv OA License
Pollack, Paul; Roy, Akash Singha Mean values of multiplicative functions and applications to residue-class distribution. arXiv:2402.16266 Preprint, arXiv:2402.16266 [math.NT] (2024). MSC: 11A25 11N36 11N64 BibTeX Cite \textit{P. Pollack} and \textit{A. S. Roy}, ``Mean values of multiplicative functions and applications to residue-class distribution'', Preprint, arXiv:2402.16266 [math.NT] (2024) Full Text: arXiv OA License
Wang, Tian Distribution of supersingular primes for abelian surfaces. arXiv:2402.12218 Preprint, arXiv:2402.12218 [math.NT] (2024). MSC: 11G10 11N45 11G18 11N13 11N36 BibTeX Cite \textit{T. Wang}, ``Distribution of supersingular primes for abelian surfaces'', Preprint, arXiv:2402.12218 [math.NT] (2024) Full Text: arXiv OA License
Bilu, Yuri F; Gun, Sanoli; Naik, Sunil L On a non-Archimedean analogue of a question of Atkin and Serre. arXiv:2402.07943 Preprint, arXiv:2402.07943 [math.NT] (2024). MSC: 11F11 11F30 11F80 11N56 11N05 11N36 11R45 BibTeX Cite \textit{Y. F Bilu} et al., ``On a non-Archimedean analogue of a question of Atkin and Serre'', Preprint, arXiv:2402.07943 [math.NT] (2024) Full Text: DOI arXiv OA License
Chen, Bin Small gaps between almost-twin primes. arXiv:2402.00748 Preprint, arXiv:2402.00748 [math.NT] (2024). MSC: 11N05 11N35 11N36 BibTeX Cite \textit{B. Chen}, ``Small gaps between almost-twin primes'', Preprint, arXiv:2402.00748 [math.NT] (2024) Full Text: arXiv OA License
Sabuncu, Cihan Right-angled triangles with almost prime hypotenuse. arXiv:2401.16334 Preprint, arXiv:2401.16334 [math.NT] (2024). MSC: 11N25 11N36 BibTeX Cite \textit{C. Sabuncu}, ``Right-angled triangles with almost prime hypotenuse'', Preprint, arXiv:2401.16334 [math.NT] (2024) Full Text: arXiv OA License
Paterson, Ross 2-Selmer Groups over Multiquadratic Extensions. arXiv:2401.08828 Preprint, arXiv:2401.08828 [math.NT] (2024). MSC: 11G05 11G07 11N36 11N45 11R45 BibTeX Cite \textit{R. Paterson}, ``2-Selmer Groups over Multiquadratic Extensions'', Preprint, arXiv:2401.08828 [math.NT] (2024) Full Text: arXiv OA License
Akande, Agbolade Patrick Uniform distribution of polynomially-defined additive function to varying moduli. arXiv:2401.04199 Preprint, arXiv:2401.04199 [math.NT] (2024). MSC: 11A25 11N64 11N36 BibTeX Cite \textit{A. P. Akande}, ``Uniform distribution of polynomially-defined additive function to varying moduli'', Preprint, arXiv:2401.04199 [math.NT] (2024) Full Text: arXiv OA License
Gamburd, Alexander Arithmetic and dynamics on varieties of Markoff type. (English) Zbl 07823043 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 1800-1836 (2023). MSC: 14G12 11N36 11D45 37P55 PDFBibTeX XMLCite \textit{A. Gamburd}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 3. Sections 1--4. Berlin: European Mathematical Society (EMS). 1800--1836 (2023; Zbl 07823043) Full Text: DOI OA License
Maynard, James Counting primes. (English) Zbl 07822676 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 1. Prize lectures. Berlin: European Mathematical Society (EMS). 240-268 (2023). MSC: 11N05 11N35 11M06 11N13 PDFBibTeX XMLCite \textit{J. Maynard}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 1. Prize lectures. Berlin: European Mathematical Society (EMS). 240--268 (2023; Zbl 07822676) Full Text: DOI OA License
Soundararajan, Kannan The work of James Maynard. (English) Zbl 07822668 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 1. Prize lectures. Berlin: European Mathematical Society (EMS). 66-80 (2023). MSC: 01A70 11N05 11N32 11N35 11J83 PDFBibTeX XMLCite \textit{K. Soundararajan}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 1. Prize lectures. Berlin: European Mathematical Society (EMS). 66--80 (2023; Zbl 07822668) Full Text: DOI arXiv OA License
Kohnen, Winfried; Luca, Florian On certain partial sums involving squares of Hecke eigenvalues. (English) Zbl 07809567 Hardy-Ramanujan J. 46, 1-5 (2023). MSC: 11F30 11F11 11N36 PDFBibTeX XMLCite \textit{W. Kohnen} and \textit{F. Luca}, Hardy-Ramanujan J. 46, 1--5 (2023; Zbl 07809567) Full Text: DOI
Tao, Terence; Ziegler, Tamar Infinite partial sumsets in the primes. (English) Zbl 07793431 J. Anal. Math. 151, No. 1, 375-389 (2023). MSC: 11N05 11P32 11N36 37A44 PDFBibTeX XMLCite \textit{T. Tao} and \textit{T. Ziegler}, J. Anal. Math. 151, No. 1, 375--389 (2023; Zbl 07793431) Full Text: DOI arXiv
Li, Jiamin; Liu, Jianya Triples of almost primes. (English) Zbl 07786160 Sci. China, Math. 66, No. 12, 2779-2794 (2023). MSC: 11N25 11N36 PDFBibTeX XMLCite \textit{J. Li} and \textit{J. Liu}, Sci. China, Math. 66, No. 12, 2779--2794 (2023; Zbl 07786160) Full Text: DOI
Merikoski, Jori The polynomials \(X^2+(Y^2+1)^2\) and \(X^2 + (Y^3+Z^3)^2\) also capture their primes. (English) Zbl 07785232 Proc. Lond. Math. Soc. (3) 127, No. 4, 1057-1133 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N32 11N36 PDFBibTeX XMLCite \textit{J. Merikoski}, Proc. Lond. Math. Soc. (3) 127, No. 4, 1057--1133 (2023; Zbl 07785232) Full Text: DOI arXiv OA License
Kumar, Arvind; Kumari, Moni Divisors of Fourier coefficients of two newforms. (English) Zbl 07781683 Pac. J. Math. 326, No. 1, 85-107 (2023). Reviewer: David Lowry-Duda (Providence) MSC: 11F30 11N36 11F33 11F80 PDFBibTeX XMLCite \textit{A. Kumar} and \textit{M. Kumari}, Pac. J. Math. 326, No. 1, 85--107 (2023; Zbl 07781683) Full Text: DOI arXiv
Pratt, Kyle The irrationality of a divisor function series of Erdős and Kac. (English) Zbl 07771591 Acta Arith. 211, No. 3, 193-228 (2023). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J72 PDFBibTeX XMLCite \textit{K. Pratt}, Acta Arith. 211, No. 3, 193--228 (2023; Zbl 07771591) Full Text: DOI arXiv
Baier, Stephan; Pujahari, Sudhir A Bombieri-Vinogradov-type theorem for moduli with small radical. (English) Zbl 07771589 Acta Arith. 211, No. 2, 173-184 (2023). MSC: 11N13 11N36 PDFBibTeX XMLCite \textit{S. Baier} and \textit{S. Pujahari}, Acta Arith. 211, No. 2, 173--184 (2023; Zbl 07771589) Full Text: DOI arXiv
Kimmel, Noam The least common multiple of a bivariate quadratic sequence. (English) Zbl 07771583 Acta Arith. 211, No. 1, 25-60 (2023). MSC: 11N32 11N36 PDFBibTeX XMLCite \textit{N. Kimmel}, Acta Arith. 211, No. 1, 25--60 (2023; Zbl 07771583) Full Text: DOI arXiv
Ding, Yuchen; Zhao, Lilu Solution to a problem of Luca, Menares and Pizarro-Madariaga. (-.) (English) Zbl 07771581 Acta Arith. 210, 391-401 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N05 11N36 11N37 PDFBibTeX XMLCite \textit{Y. Ding} and \textit{L. Zhao}, Acta Arith. 210, 391--401 (2023; Zbl 07771581) Full Text: DOI arXiv
Li, Jiamin; Ma, Jing Three-dimensional exponential sums under constant perturbation. (English) Zbl 07754810 Indag. Math., New Ser. 34, No. 6, 1223-1236 (2023). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11L03 11N36 PDFBibTeX XMLCite \textit{J. Li} and \textit{J. Ma}, Indag. Math., New Ser. 34, No. 6, 1223--1236 (2023; Zbl 07754810) Full Text: DOI arXiv
Mangerel, Alexander P. Sign changes of Fourier coefficients of holomorphic cusp forms at norm form arguments. (English) Zbl 07751265 Math. Proc. Camb. Philos. Soc. 175, No. 3, 539-567 (2023). Reviewer: Florian Luca (Johannesburg) MSC: 11N37 11N64 11F30 11F11 11N36 11R47 PDFBibTeX XMLCite \textit{A. P. Mangerel}, Math. Proc. Camb. Philos. Soc. 175, No. 3, 539--567 (2023; Zbl 07751265) Full Text: DOI arXiv OA License
Blomer, Valentin; Grimmelt, Lasse; Li, Junxian; Rydin Myerson, Simon L. Additive problems with almost prime squares. (English) Zbl 07746807 Geom. Funct. Anal. 33, No. 5, 1173-1242 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N36 11N75 11P32 11E16 PDFBibTeX XMLCite \textit{V. Blomer} et al., Geom. Funct. Anal. 33, No. 5, 1173--1242 (2023; Zbl 07746807) Full Text: DOI arXiv OA License
Zhai, W.-G.; Zhao, Y.-T. On a Piatetski-Shapiro analog problem over almost-primes. (English) Zbl 07745826 Acta Math. Hung. 170, No. 2, 616-632 (2023). Reviewer: Olivier Ramaré (Marseille) MSC: 11N36 11L07 PDFBibTeX XMLCite \textit{W. G. Zhai} and \textit{Y. T. Zhao}, Acta Math. Hung. 170, No. 2, 616--632 (2023; Zbl 07745826) Full Text: DOI
Bhakta, Subham; Loughran, Daniel; Rydin Myerson, Simon L.; Nakahara, Masahiro The elliptic sieve and Brauer groups. (English) Zbl 07740463 Proc. Lond. Math. Soc. (3) 126, No. 6, 1884-1922 (2023). MSC: 14G05 11N36 14F22 11G05 PDFBibTeX XMLCite \textit{S. Bhakta} et al., Proc. Lond. Math. Soc. (3) 126, No. 6, 1884--1922 (2023; Zbl 07740463) Full Text: DOI arXiv OA License
Eckels, Emily; Jin, Steven; Ledoan, Andrew; Tobin, Brian Linnik’s large sieve and the \(L^1\) norm of exponential sums. (English) Zbl 07738022 Bull. Lond. Math. Soc. 55, No. 2, 843-853 (2023). MSC: 11L03 11L07 11L20 11N36 42A05 PDFBibTeX XMLCite \textit{E. Eckels} et al., Bull. Lond. Math. Soc. 55, No. 2, 843--853 (2023; Zbl 07738022) Full Text: DOI arXiv
Matomäki, Kaisa; Teräväinen, Joni Almost primes in almost all short intervals. II. (English) Zbl 07731961 Trans. Am. Math. Soc. 376, No. 8, 5433-5459 (2023). Reviewer: David T. Nguyen (Kingston) MSC: 11N05 11N36 PDFBibTeX XMLCite \textit{K. Matomäki} and \textit{J. Teräväinen}, Trans. Am. Math. Soc. 376, No. 8, 5433--5459 (2023; Zbl 07731961) Full Text: DOI arXiv
Peña, Daniel; Tsay, Ruey S. A testing approach to clustering scalar time series. (English) Zbl 07731499 J. Time Ser. Anal. 44, No. 5-6, 667-685 (2023). MSC: 62Mxx 62F40 62H30 62M10 PDFBibTeX XMLCite \textit{D. Peña} and \textit{R. S. Tsay}, J. Time Ser. Anal. 44, No. 5--6, 667--685 (2023; Zbl 07731499) Full Text: DOI
Alahmadi, Adel; Luca, Florian On a question of Witno concerning hypothetical elite primes for Mersenne numbers and repunits. (English) Zbl 1525.11006 Rocky Mt. J. Math. 53, No. 3, 679-683 (2023). Reviewer: Amin Witno (Amman) MSC: 11A15 11A41 PDFBibTeX XMLCite \textit{A. Alahmadi} and \textit{F. Luca}, Rocky Mt. J. Math. 53, No. 3, 679--683 (2023; Zbl 1525.11006) Full Text: DOI Link
Dimitrov, Stoyan On the distribution of \(\alpha p\) modulo one over Piatetski-Shapiro primes. (English) Zbl 1517.11085 Indian J. Pure Appl. Math. 54, No. 3, 858-867 (2023). MSC: 11J71 11L07 11N13 11N36 PDFBibTeX XMLCite \textit{S. Dimitrov}, Indian J. Pure Appl. Math. 54, No. 3, 858--867 (2023; Zbl 1517.11085) Full Text: DOI arXiv
Kim, Jiseong On the Rankin-Selberg problem in families. (English) Zbl 1523.11075 J. Number Theory 252, 298-325 (2023). MSC: 11F25 11F66 11N37 11N25 11N36 PDFBibTeX XMLCite \textit{J. Kim}, J. Number Theory 252, 298--325 (2023; Zbl 1523.11075) Full Text: DOI arXiv
Cojocaru, Alina Carmen; Meyer, McKinley Non-CM elliptic curves with infinitely many almost prime Frobenius traces. (English) Zbl 07722265 J. Number Theory 252, 74-117 (2023). Reviewer: Matteo Verzobio (Pisa) MSC: 11G05 11G25 11A41 11N05 11N36 PDFBibTeX XMLCite \textit{A. C. Cojocaru} and \textit{M. Meyer}, J. Number Theory 252, 74--117 (2023; Zbl 07722265) Full Text: DOI arXiv
Browning, Tim; Lyczak, Julian; Sarapin, Roman Local solubility for a family of quadrics over a split quadric surface. (English) Zbl 07714195 Involve 16, No. 2, 331-342 (2023). MSC: 14G05 11N36 14D10 PDFBibTeX XMLCite \textit{T. Browning} et al., Involve 16, No. 2, 331--342 (2023; Zbl 07714195) Full Text: DOI arXiv
Sanjaya, Gian Cordana; Wang, Xiaoheng On the squarefree values of \(a^4+b^3\). (English) Zbl 07710873 Math. Ann. 386, No. 3-4, 1237-1265 (2023). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N32 11N36 11N45 PDFBibTeX XMLCite \textit{G. C. Sanjaya} and \textit{X. Wang}, Math. Ann. 386, No. 3--4, 1237--1265 (2023; Zbl 07710873) Full Text: DOI arXiv
Bonolis, Dante; Browning, Tim Uniform bounds for rational points on hyperelliptic fibrations. (English) Zbl 07697297 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 24, No. 1, 173-204 (2023); erratum ibid. 24, No. 4, 2501-2504 (2023). MSC: 11D45 14G05 11L40 11N36 PDFBibTeX XMLCite \textit{D. Bonolis} and \textit{T. Browning}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 24, No. 1, 173--204 (2023; Zbl 07697297) Full Text: DOI arXiv
Hu, Daniel; Iyer, Hari R.; Shashkov, Alexander Modular forms and an explicit Chebotarev variant of the Brun-Titchmarsh theorem. (English) Zbl 07695789 Res. Number Theory 9, No. 3, Paper No. 46, 37 p. (2023). MSC: 11R44 11N36 11F30 PDFBibTeX XMLCite \textit{D. Hu} et al., Res. Number Theory 9, No. 3, Paper No. 46, 37 p. (2023; Zbl 07695789) Full Text: DOI arXiv
Lartaux, Alexandre On the number of ideals whose norm is the value of a binary form of degree 3. (Sur le nombre d’idéaux dont la norme est la valeur d’une forme binaire de degré 3.) (French. English summary) Zbl 1527.11035 Q. J. Math. 74, No. 2, 421-458 (2023). MSC: 11E76 11N36 PDFBibTeX XMLCite \textit{A. Lartaux}, Q. J. Math. 74, No. 2, 421--458 (2023; Zbl 1527.11035) Full Text: DOI arXiv
Chen, Bin; Wu, Jie; Zhao, Feng Note on a paper by Bordellés, Dai, Heyman, Pan and Shparlinski, 3. (English) Zbl 07692688 Publ. Math. Debr. 102, No. 3-4, 495-505 (2023). MSC: 11A25 11N36 11N37 PDFBibTeX XMLCite \textit{B. Chen} et al., Publ. Math. Debr. 102, No. 3--4, 495--505 (2023; Zbl 07692688) Full Text: DOI
Berend, Daniel; Kumar, Rishi; Pollington, Andrew Simultaneous visibility in the integer lattice. (English) Zbl 1527.11074 J. Number Theory 250, 84-123 (2023). Reviewer: Matthew C. Lettington (Cardiff) MSC: 11P21 11N36 37A44 PDFBibTeX XMLCite \textit{D. Berend} et al., J. Number Theory 250, 84--123 (2023; Zbl 1527.11074) Full Text: DOI
Balestrieri, Francesca; Rome, Nick Average Bateman-Horn for Kummer polynomials. (English) Zbl 1525.11103 Acta Arith. 207, No. 4, 315-350 (2023). MSC: 11N32 11N36 11N37 11P55 14G05 PDFBibTeX XMLCite \textit{F. Balestrieri} and \textit{N. Rome}, Acta Arith. 207, No. 4, 315--350 (2023; Zbl 1525.11103) Full Text: DOI arXiv
Cojocaru, Alina Carmen; Wang, Tian Bounds for the distribution of the Frobenius traces associated to products of non-CM elliptic curves. (English) Zbl 1525.11062 Can. J. Math. 75, No. 3, 687-712 (2023). Reviewer: B. Z. Moroz (Bonn) MSC: 11G05 11G20 11N05 11N36 11N37 11N56 PDFBibTeX XMLCite \textit{A. C. Cojocaru} and \textit{T. Wang}, Can. J. Math. 75, No. 3, 687--712 (2023; Zbl 1525.11062) Full Text: DOI arXiv
Merikoski, Jori On the largest prime factor of \(n^2 + 1\). (English) Zbl 1521.11056 J. Eur. Math. Soc. (JEMS) 25, No. 4, 1253-1284 (2023). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N05 11N36 PDFBibTeX XMLCite \textit{J. Merikoski}, J. Eur. Math. Soc. (JEMS) 25, No. 4, 1253--1284 (2023; Zbl 1521.11056) Full Text: DOI arXiv
Liu, Yu-Ru; Saunders, J. C. Sieve methods in random graph theory. (English) Zbl 1512.05360 Graphs Comb. 39, No. 3, Paper No. 39, 23 p. (2023). Reviewer: David B. Penman (Colchester) MSC: 05C80 05C12 PDFBibTeX XMLCite \textit{Y.-R. Liu} and \textit{J. C. Saunders}, Graphs Comb. 39, No. 3, Paper No. 39, 23 p. (2023; Zbl 1512.05360) Full Text: DOI arXiv
Basak, Debmalya; Nath, Kunjakanan; Zaharescu, Alexandru Gaussian phenomena for small quadratic residues and non-residues. (English) Zbl 1528.11074 Trans. Am. Math. Soc. 376, No. 5, 3695-3724 (2023). Reviewer: Ke Gong (Kaifeng) MSC: 11L40 11N60 11N36 PDFBibTeX XMLCite \textit{D. Basak} et al., Trans. Am. Math. Soc. 376, No. 5, 3695--3724 (2023; Zbl 1528.11074) Full Text: DOI
Lewulis, Paweł Variants of the Selberg sieve and almost prime \(k\)-tuples. (English) Zbl 07673946 Q. J. Math. 74, No. 1, 327-363 (2023). Reviewer: Gregory Debruyne (Gent) MSC: 11N35 11N36 11N25 PDFBibTeX XMLCite \textit{P. Lewulis}, Q. J. Math. 74, No. 1, 327--363 (2023; Zbl 07673946) Full Text: DOI arXiv
Ghosh, Aritra; Kumar, Sumit; Mallesham, Kummari; Singh, Saurabh Kumar Bounds for del Pezzo surfaces of degree two. (English) Zbl 07673943 Q. J. Math. 74, No. 1, 247-271 (2023). MSC: 11D45 11N36 14G05 14J26 PDFBibTeX XMLCite \textit{A. Ghosh} et al., Q. J. Math. 74, No. 1, 247--271 (2023; Zbl 07673943) Full Text: DOI arXiv
Pollack, Paul; Singha Roy, Akash Distribution in coprime residue classes of polynomially-defined multiplicative functions. (English) Zbl 1528.11101 Math. Z. 303, No. 4, Paper No. 93, 20 p. (2023). Reviewer: Péter Pál Pach (Budapest) MSC: 11N64 11A25 11N36 PDFBibTeX XMLCite \textit{P. Pollack} and \textit{A. Singha Roy}, Math. Z. 303, No. 4, Paper No. 93, 20 p. (2023; Zbl 1528.11101) Full Text: DOI arXiv
Li, Huixi Additive representations of natural numbers. (English) Zbl 1526.11054 Ramanujan J. 60, No. 4, 999-1024 (2023). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N13 11N36 11P32 PDFBibTeX XMLCite \textit{H. Li}, Ramanujan J. 60, No. 4, 999--1024 (2023; Zbl 1526.11054) Full Text: DOI
Konyagin, Sergei; Pollack, Paul A problem in comparative order theory. (English) Zbl 1524.11005 Period. Math. Hung. 86, No. 1, 24-36 (2023). Reviewer: Panayiotis Vlamos (Kérkyra) MSC: 11A07 11A15 11N36 PDFBibTeX XMLCite \textit{S. Konyagin} and \textit{P. Pollack}, Period. Math. Hung. 86, No. 1, 24--36 (2023; Zbl 1524.11005) Full Text: DOI arXiv
Li, Boyang; Wang, Yuchao Diophantine approximation with prime variables and mixed powers. (English) Zbl 07659057 Ramanujan J. 60, No. 2, 371-389 (2023). Reviewer: Guangshi Lü (Jinan) MSC: 11D75 11P32 11N36 PDFBibTeX XMLCite \textit{B. Li} and \textit{Y. Wang}, Ramanujan J. 60, No. 2, 371--389 (2023; Zbl 07659057) Full Text: DOI
Anderson, Theresa C.; Gafni, Ayla; Lemke Oliver, Robert J.; Lowry-Duda, David; Shakan, George; Zhang, Ruixiang Quantitative Hilbert irreducibility and almost prime values of polynomial discriminants. (English) Zbl 1520.11091 Int. Math. Res. Not. 2023, No. 3, 2188-2214 (2023). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11R09 11R27 11N36 PDFBibTeX XMLCite \textit{T. C. Anderson} et al., Int. Math. Res. Not. 2023, No. 3, 2188--2214 (2023; Zbl 1520.11091) Full Text: DOI arXiv
Li, Jinjiang; Zhang, Min; Cai, Yingchun On the least almost-prime in arithmetic progression. (English) Zbl 07655761 Czech. Math. J. 73, No. 1, 177-188 (2023). MSC: 11N13 11N35 11N36 PDFBibTeX XMLCite \textit{J. Li} et al., Czech. Math. J. 73, No. 1, 177--188 (2023; Zbl 07655761) Full Text: DOI arXiv
Dey, Sampa; Savalia, Aditi An induction principle for the Bombieri-Vinogradov theorem over \(\mathbb{F}_q [t]\) and a variant of the Ttchmarsh divisor problem. (English) Zbl 1521.11058 J. Math. Anal. Appl. 521, No. 2, Article ID 126928, 28 p. (2023). Reviewer: Stephan Baier (Hāoṛā) MSC: 11N37 11N13 11N35 11L40 11N36 PDFBibTeX XMLCite \textit{S. Dey} and \textit{A. Savalia}, J. Math. Anal. Appl. 521, No. 2, Article ID 126928, 28 p. (2023; Zbl 1521.11058) Full Text: DOI arXiv
Wong, Siman On the rank of cubic and quartic twists of elliptic curves by primes. (English) Zbl 1519.14032 J. Number Theory 246, 157-165 (2023). Reviewer: B. Z. Moroz (Bonn) MSC: 14H52 11G05 11G35 11N36 PDFBibTeX XMLCite \textit{S. Wong}, J. Number Theory 246, 157--165 (2023; Zbl 1519.14032) Full Text: DOI
Gorodetsky, Ofir; Mangerel, Alexander; Rodgers, Brad Squarefrees are Gaussian in short intervals. (English) Zbl 1522.11093 J. Reine Angew. Math. 795, 1-44 (2023). Reviewer: Florian Luca (Johannesburg) MSC: 11N25 11N37 60F05 60G22 PDFBibTeX XMLCite \textit{O. Gorodetsky} et al., J. Reine Angew. Math. 795, 1--44 (2023; Zbl 1522.11093) Full Text: DOI arXiv
Darbar, Pranendu; Mukhopadhyay, Anirban; Viswanadham, G. K. Bounded gaps between product of two primes in imaginary quadratic number fields. (English) Zbl 1517.11121 Res. Number Theory 9, No. 1, Paper No. 11, 23 p. (2023). Reviewer: László Tóth (Pécs) MSC: 11N05 11N36 PDFBibTeX XMLCite \textit{P. Darbar} et al., Res. Number Theory 9, No. 1, Paper No. 11, 23 p. (2023; Zbl 1517.11121) Full Text: DOI arXiv
Roy, Akash Singha Joint distribution in residue classes of families of polynomially-defined additive functions. arXiv:2401.00892 Preprint, arXiv:2401.00892 [math.NT] (2023). MSC: 11A25 11N36 11N37 11N64 11N69 BibTeX Cite \textit{A. S. Roy}, ``Joint distribution in residue classes of families of polynomially-defined additive functions'', Preprint, arXiv:2401.00892 [math.NT] (2023) Full Text: arXiv OA License
Roy, Akash Singha Joint distribution in residue classes of families of polynomially-defined multiplicative functions. arXiv:2401.00358 Preprint, arXiv:2401.00358 [math.NT] (2023). MSC: 11A25 11N36 11N37 11N64 11N69 BibTeX Cite \textit{A. S. Roy}, ``Joint distribution in residue classes of families of polynomially-defined multiplicative functions'', Preprint, arXiv:2401.00358 [math.NT] (2023) Full Text: arXiv OA License
Yamada, Tomohiro Explicit improvements of the Brun-Titchmarsh theorem for arbitrary intervals. arXiv:2312.16090 Preprint, arXiv:2312.16090 [math.NT] (2023). MSC: 11N36 11B83 11N05 11N13 BibTeX Cite \textit{T. Yamada}, ``Explicit improvements of the Brun-Titchmarsh theorem for arbitrary intervals'', Preprint, arXiv:2312.16090 [math.NT] (2023) Full Text: arXiv OA License
Yip, Chi Hoi Multiplicatively reducible subsets of shifted perfect \(k\)-th powers and bipartite Diophantine tuples. arXiv:2312.14450 Preprint, arXiv:2312.14450 [math.NT] (2023). MSC: 11D45 11D72 11N36 BibTeX Cite \textit{C. H. Yip}, ``Multiplicatively reducible subsets of shifted perfect $k$-th powers and bipartite Diophantine tuples'', Preprint, arXiv:2312.14450 [math.NT] (2023) Full Text: arXiv OA License
Roy, Akash Singha Mean values of multiplicative functions and applications to the distribution of the sum of divisors. arXiv:2311.04324 Preprint, arXiv:2311.04324 [math.NT] (2023). MSC: 11A25 11N36 11N37 11N64 11N69 BibTeX Cite \textit{A. S. Roy}, ``Mean values of multiplicative functions and applications to the distribution of the sum of divisors'', Preprint, arXiv:2311.04324 [math.NT] (2023) Full Text: arXiv OA License
Choudhry, Ajai; Maji, Bibekananda Finite sequences of integers expressible as sums of two squares. arXiv:2310.13317 Preprint, arXiv:2310.13317 [math.NT] (2023). MSC: 11D09 11E25 11N36 11N37 BibTeX Cite \textit{A. Choudhry} and \textit{B. Maji}, ``Finite sequences of integers expressible as sums of two squares'', Preprint, arXiv:2310.13317 [math.NT] (2023) Full Text: arXiv OA License
Browning, Tim; Lyczak, Julian; Smeets, Arne Paucity of rational points on fibrations with multiple fibres. arXiv:2310.01135 Preprint, arXiv:2310.01135 [math.NT] (2023). MSC: 14G05 11G35 11N36 14A21 14D10 BibTeX Cite \textit{T. Browning} et al., ``Paucity of rational points on fibrations with multiple fibres'', Preprint, arXiv:2310.01135 [math.NT] (2023) Full Text: arXiv OA License
Luca, Florian; Sarkar, Santanu; Stanica, Pantelimon Representing the inverse map as a composition of quadratics in a finite field of characteristic \(2\). arXiv:2309.17424 Preprint, arXiv:2309.17424 [math.NT] (2023). MSC: 11A41 11N13 11N36 20B99 94A60 94D10 BibTeX Cite \textit{F. Luca} et al., ``Representing the inverse map as a composition of quadratics in a finite field of characteristic $2$'', Preprint, arXiv:2309.17424 [math.NT] (2023) Full Text: arXiv OA License
Kim, Seoyoung; Yip, Chi Hoi; Yoo, Semin Diophantine tuples and multiplicative structure of shifted multiplicative subgroups. arXiv:2309.09124 Preprint, arXiv:2309.09124 [math.NT] (2023). MSC: 11B30 11D72 11D45 11N36 11L40 BibTeX Cite \textit{S. Kim} et al., ``Diophantine tuples and multiplicative structure of shifted multiplicative subgroups'', Preprint, arXiv:2309.09124 [math.NT] (2023) Full Text: arXiv OA License
Lichtman, Jared Duker Primes in arithmetic progressions to large moduli, and Goldbach beyond the square-root barrier. arXiv:2309.08522 Preprint, arXiv:2309.08522 [math.NT] (2023). MSC: 11N35 11N36 11N05 BibTeX Cite \textit{J. D. Lichtman}, ``Primes in arithmetic progressions to large moduli, and Goldbach beyond the square-root barrier'', Preprint, arXiv:2309.08522 [math.NT] (2023) Full Text: arXiv OA License
Stadlmann, Julia On primes in arithmetic progressions and bounded gaps between many primes. arXiv:2309.00425 Preprint, arXiv:2309.00425 [math.NT] (2023). MSC: 11N05 11N36 11L07 BibTeX Cite \textit{J. Stadlmann}, ``On primes in arithmetic progressions and bounded gaps between many primes'', Preprint, arXiv:2309.00425 [math.NT] (2023) Full Text: arXiv OA License
Chou, Leon; Haag, Summer; Huryn, Jake; Ledoan, Andrew The error term in counting prime pairs. arXiv:2308.14888 Preprint, arXiv:2308.14888 [math.NT] (2023). MSC: 11N05 11P32 11N36 BibTeX Cite \textit{L. Chou} et al., ``The error term in counting prime pairs'', Preprint, arXiv:2308.14888 [math.NT] (2023) Full Text: arXiv OA License
Schlage-Puchta, Jan-Christoph Alternating state complexity of the set of primes and squarefree integers. arXiv:2307.11745 Preprint, arXiv:2307.11745 [math.NT] (2023). MSC: 68Q45 11N36 BibTeX Cite \textit{J.-C. Schlage-Puchta}, ``Alternating state complexity of the set of primes and squarefree integers'', Preprint, arXiv:2307.11745 [math.NT] (2023) Full Text: arXiv OA License
Sabuncu, Cihan On the Moments of the Number of Representations as Sums of Two Prime Squares. arXiv:2307.11547 Preprint, arXiv:2307.11547 [math.NT] (2023). MSC: 11N36 BibTeX Cite \textit{C. Sabuncu}, ``On the Moments of the Number of Representations as Sums of Two Prime Squares'', Preprint, arXiv:2307.11547 [math.NT] (2023) Full Text: arXiv OA License
Myerson, Simon L Rydin A question about points on an elliptic curve with prime denominator. arXiv:2307.09406 Preprint, arXiv:2307.09406 [math.NT] (2023). MSC: 11G05 11N05 11N36 14G05 11N32 BibTeX Cite \textit{S. L R. Myerson}, ``A question about points on an elliptic curve with prime denominator'', Preprint, arXiv:2307.09406 [math.NT] (2023) Full Text: arXiv OA License
Wong, Peng-Jie Cyclicity and exponent of elliptic curves modulo \(p\) in arithmetic progressions. arXiv:2307.05594 Preprint, arXiv:2307.05594 [math.NT] (2023). MSC: 11G05 11N36 11G15 11R45 BibTeX Cite \textit{P.-J. Wong}, ``Cyclicity and exponent of elliptic curves modulo $p$ in arithmetic progressions'', Preprint, arXiv:2307.05594 [math.NT] (2023) Full Text: arXiv OA License
Baier, Stephan; Roy, Sayantan A note on the distribution of prime ideals in real quadratic fields. arXiv:2307.03513 Preprint, arXiv:2307.03513 [math.NT] (2023). MSC: 11R44 11E25 11N36 BibTeX Cite \textit{S. Baier} and \textit{S. Roy}, ``A note on the distribution of prime ideals in real quadratic fields'', Preprint, arXiv:2307.03513 [math.NT] (2023) Full Text: arXiv OA License
David, Chantal; Dunn, Alexander; Hamieh, Alia; Lin, Hua Quartic Gauss sums over primes and metaplectic theta functions. arXiv:2306.11875 Preprint, arXiv:2306.11875 [math.NT] (2023). MSC: 11F27 11F30 11L05 11L20 11N36 BibTeX Cite \textit{C. David} et al., ``Quartic Gauss sums over primes and metaplectic theta functions'', Preprint, arXiv:2306.11875 [math.NT] (2023) Full Text: arXiv OA License
Wu, Liuying On an additive problem involving fractional powers with one prime and an almost prime variables. arXiv:2306.01972 Preprint, arXiv:2306.01972 [math.NT] (2023). MSC: 11L07 11L20 11N35 11N36 BibTeX Cite \textit{L. Wu}, ``On an additive problem involving fractional powers with one prime and an almost prime variables'', Preprint, arXiv:2306.01972 [math.NT] (2023) Full Text: arXiv OA License
Friedlander, John When Euler met Brun. arXiv:2305.11530 Preprint, arXiv:2305.11530 [math.NT] (2023). MSC: 11N05 11N36 BibTeX Cite \textit{J. Friedlander}, ``When Euler met Brun'', Preprint, arXiv:2305.11530 [math.NT] (2023) Full Text: arXiv OA License
Calderón, Irving; Magee, Michael Explicit spectral gap for Schottky subgroups of \(\mathrm{SL} (2,\mathbb{Z})\). arXiv:2303.17950 Preprint, arXiv:2303.17950 [math.SP] (2023). MSC: 58J50 11N36 BibTeX Cite \textit{I. Calderón} and \textit{M. Magee}, ``Explicit spectral gap for Schottky subgroups of $\mathrm{SL} (2,\mathbb{Z})$'', Preprint, arXiv:2303.17950 [math.SP] (2023) Full Text: arXiv OA License
Chen, Bin On almost-prime \(k\)-tuples. arXiv:2301.05044 Preprint, arXiv:2301.05044 [math.NT] (2023). MSC: 11N05 11N35 11N36 BibTeX Cite \textit{B. Chen}, ``On almost-prime $k$-tuples'', Preprint, arXiv:2301.05044 [math.NT] (2023) Full Text: arXiv OA License
Lewulis, Paweł Almost primes in various settings. (English) Zbl 1523.11162 Mathematika 68, No. 3, 651-709 (2022). MSC: 11N05 11N35 11N36 PDFBibTeX XMLCite \textit{P. Lewulis}, Mathematika 68, No. 3, 651--709 (2022; Zbl 1523.11162) Full Text: DOI arXiv
Iudelevich, Vitalii V. On the Karatsuba divisor problem. (English. Russian original) Zbl 1523.11170 Izv. Math. 86, No. 5, 992-1019 (2022); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 86, No. 5, 169-196 (2022). MSC: 11N36 PDFBibTeX XMLCite \textit{V. V. Iudelevich}, Izv. Math. 86, No. 5, 992--1019 (2022; Zbl 1523.11170); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 86, No. 5, 169--196 (2022) Full Text: DOI arXiv MNR
Matomäki, Kaisa Almost primes in almost all very short intervals. (English) Zbl 07730831 J. Lond. Math. Soc., II. Ser. 106, No. 2, 1061-1097 (2022). Reviewer: Marco Aymone (Belo Horizonte) MSC: 11N25 11N36 PDFBibTeX XMLCite \textit{K. Matomäki}, J. Lond. Math. Soc., II. Ser. 106, No. 2, 1061--1097 (2022; Zbl 07730831) Full Text: DOI arXiv
Kontorovich, Alex On trace sets of restricted continued fraction semigroups. (English) Zbl 1523.11129 Avila, Artur (ed.) et al., Analysis at large. Dedicated to the life and work of Jean Bourgain. Cham: Springer. 253-272 (2022). Reviewer: Vijay Yadav (Virar) MSC: 11J70 11N36 37A44 PDFBibTeX XMLCite \textit{A. Kontorovich}, in: Analysis at large. Dedicated to the life and work of Jean Bourgain. Cham: Springer. 253--272 (2022; Zbl 1523.11129) Full Text: DOI
Merikoski, Jori On totally split primes in high-degree torsion fields of elliptic curves. (English) Zbl 1522.11055 Int. Math. Res. Not. 2022, No. 24, 19905-19942 (2022). Reviewer: Pieter Moree (Bonn) MSC: 11G05 11N36 11R45 PDFBibTeX XMLCite \textit{J. Merikoski}, Int. Math. Res. Not. 2022, No. 24, 19905--19942 (2022; Zbl 1522.11055) Full Text: DOI arXiv
Ramaré, Olivier The number of rationals determined by large sets of sifted integers. (English) Zbl 1515.11092 Proc. Indian Acad. Sci., Math. Sci. 132, No. 2, Paper No. 62, 13 p. (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N36 11B30 PDFBibTeX XMLCite \textit{O. Ramaré}, Proc. Indian Acad. Sci., Math. Sci. 132, No. 2, Paper No. 62, 13 p. (2022; Zbl 1515.11092) Full Text: DOI
Akbal, Yıldırım; Güloğlu, Ahmet M. Cyclicity of elliptic curves modulo primes in arithmetic progressions. (English) Zbl 07613385 Can. J. Math. 74, No. 5, 1277-1309 (2022). Reviewer: Maciej Ulas (Kraków) MSC: 11G05 11N13 11N36 11N45 11R45 PDFBibTeX XMLCite \textit{Y. Akbal} and \textit{A. M. Güloğlu}, Can. J. Math. 74, No. 5, 1277--1309 (2022; Zbl 07613385) Full Text: DOI arXiv
McGrath, Oliver A variation of the prime k-tuples conjecture with applications to quantum limits. (English) Zbl 1510.11143 Math. Ann. 384, No. 3-4, 1343-1407 (2022). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N36 11N35 PDFBibTeX XMLCite \textit{O. McGrath}, Math. Ann. 384, No. 3--4, 1343--1407 (2022; Zbl 1510.11143) Full Text: DOI arXiv
Grimmelt, Lasse Vinogradov’s theorem with Fouvry-Iwaniec primes. (English) Zbl 1515.11091 Algebra Number Theory 16, No. 7, 1705-1776 (2022). Reviewer: Temenoujka Peneva (Plovdiv) MSC: 11N36 11P32 PDFBibTeX XMLCite \textit{L. Grimmelt}, Algebra Number Theory 16, No. 7, 1705--1776 (2022; Zbl 1515.11091) Full Text: DOI arXiv
Grimmelt, Lasse Goldbach numbers in short intervals. (English) Zbl 1512.11071 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 23, No. 3, 1395-1416 (2022). Reviewer: Olivier Ramaré (Marseille) MSC: 11P32 11P55 11N36 PDFBibTeX XMLCite \textit{L. Grimmelt}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 23, No. 3, 1395--1416 (2022; Zbl 1512.11071) Full Text: DOI