Darbar, Pranendu; Mukhopadhyay, Anirban Correlation of multiplicative functions over \(\mathbb{F}_q[x]\): a pretentious approach. (English) Zbl 07796297 Mathematika 70, No. 1, Article ID e12227, 51 p. (2024). MSC: 11K65 11N35 11N37 11N60 11T06 PDFBibTeX XMLCite \textit{P. Darbar} and \textit{A. Mukhopadhyay}, Mathematika 70, No. 1, Article ID e12227, 51 p. (2024; Zbl 07796297) Full Text: DOI OA License
El Abdalaoui, Houcein; Shparlinski, Igor E.; Steiner, Raphael S. Chowla and Sarnak conjectures for Kloosterman sums. (English) Zbl 07794284 Math. Nachr. 297, No. 1, 209-228 (2024). MSC: 11L07 11T23 37B40 PDFBibTeX XMLCite \textit{H. El Abdalaoui} et al., Math. Nachr. 297, No. 1, 209--228 (2024; Zbl 07794284) Full Text: DOI arXiv OA License
Matomäki, Kaisa (ed.); Soundararajan, Kannan (ed.); Vaughan, Robert C. (ed.); Wooley, Trevor D. (ed.) Analytic number theory. Abstracts from the workshop held November 6–12, 2022. (English) Zbl 1521.00022 Oberwolfach Rep. 19, No. 4, 2895-2960 (2022). MSC: 00B05 00B25 11-06 11Bxx 11Dxx 11Jxx 11Pxx PDFBibTeX XMLCite \textit{K. Matomäki} (ed.) et al., Oberwolfach Rep. 19, No. 4, 2895--2960 (2022; Zbl 1521.00022) Full Text: DOI
Helfgott, Harald Andrés Expansion, divisibility and parity: an explanation. (English) Zbl 1508.11095 Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory V. Selected papers based on the presentations at the CANT 2021 workshop, New York, NY, USA, virtual event, May 24–28, 2021. Cham: Springer. Springer Proc. Math. Stat. 395, 199-237 (2022). MSC: 11N37 11N35 05C81 05C48 PDFBibTeX XMLCite \textit{H. A. Helfgott}, Springer Proc. Math. Stat. 395, 199--237 (2022; Zbl 1508.11095) Full Text: DOI arXiv
Jiang, Yujiao; Lü, Guangshi; Wang, Zhiwei Averaged forms of two conjectures of Erdős and Pomerance, and their applications. (English) Zbl 1506.11125 Adv. Math. 409, Part A, Article ID 108592, 42 p. (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11P55 11N25 11N36 PDFBibTeX XMLCite \textit{Y. Jiang} et al., Adv. Math. 409, Part A, Article ID 108592, 42 p. (2022; Zbl 1506.11125) Full Text: DOI
Lichtman, Jared Duker; Teräväinen, Joni On the Hardy-Littlewood-Chowla conjecture on average. (English) Zbl 1501.11094 Forum Math. Sigma 10, Paper No. e57, 17 p. (2022). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11P32 11L20 11N37 PDFBibTeX XMLCite \textit{J. D. Lichtman} and \textit{J. Teräväinen}, Forum Math. Sigma 10, Paper No. e57, 17 p. (2022; Zbl 1501.11094) Full Text: DOI arXiv
Gomilko, Alexander; Lemańczyk, Mariusz; de la Rue, Thierry On Furstenberg systems of aperiodic multiplicative functions of Matomäki, Radziwiłł, and Tao. (English) Zbl 1490.11094 J. Mod. Dyn. 17, 529-555 (2021). MSC: 11N37 37A44 37A50 PDFBibTeX XMLCite \textit{A. Gomilko} et al., J. Mod. Dyn. 17, 529--555 (2021; Zbl 1490.11094) Full Text: DOI arXiv
Kanigowski, Adam; Lemańczyk, Mariusz; Radziwiłł, Maksym Rigidity in dynamics and Möbius disjointness. (English) Zbl 1490.37009 Fundam. Math. 255, No. 3, 309-336 (2021). MSC: 37A44 11A25 11N37 PDFBibTeX XMLCite \textit{A. Kanigowski} et al., Fundam. Math. 255, No. 3, 309--336 (2021; Zbl 1490.37009) Full Text: DOI arXiv
Wang, Zhiwei Three conjectures on \(P^+(n)\) and \(P^+(n+1)\) hold under the Elliott-Halberstam conjecture for friable integers. (English) Zbl 1468.11194 J. Number Theory 223, 1-11 (2021). Reviewer: Gennady Bachman (Las Vegas) MSC: 11N25 11N37 PDFBibTeX XMLCite \textit{Z. Wang}, J. Number Theory 223, 1--11 (2021; Zbl 1468.11194) Full Text: DOI
Frantzikinakis, Nikos Correlations of multiplicative functions along deterministic and independent sequences. (English) Zbl 1461.11127 Trans. Am. Math. Soc. 373, No. 9, 6595-6620 (2020). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N37 11K65 PDFBibTeX XMLCite \textit{N. Frantzikinakis}, Trans. Am. Math. Soc. 373, No. 9, 6595--6620 (2020; Zbl 1461.11127) Full Text: DOI arXiv
Najnudel, Joseph On consecutive values of random completely multiplicative functions. (English) Zbl 1470.11214 Electron. J. Probab. 25, Paper No. 59, 28 p. (2020). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K65 11N37 60F05 60F15 PDFBibTeX XMLCite \textit{J. Najnudel}, Electron. J. Probab. 25, Paper No. 59, 28 p. (2020; Zbl 1470.11214) Full Text: DOI arXiv Euclid
Tao, Terence; Teräväinen, Joni The structure of logarithmically averaged correlations of multiplicative functions, with applications to the Chowla and Elliott conjectures. (English) Zbl 1436.11115 Duke Math. J. 168, No. 11, 1977-2027 (2019). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 37A44 PDFBibTeX XMLCite \textit{T. Tao} and \textit{J. Teräväinen}, Duke Math. J. 168, No. 11, 1977--2027 (2019; Zbl 1436.11115) Full Text: DOI arXiv Euclid