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
Matomäki, Kaisa; Shao, Xuancheng; Tao, Terence; Teräväinen, Joni Higher uniformity of arithmetic functions in short intervals. I: All intervals. (English) Zbl 07758129 Forum Math. Pi 11, Paper No. e29, 97 p. (2023). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N37 11B30 PDFBibTeX XMLCite \textit{K. Matomäki} et al., Forum Math. Pi 11, Paper No. e29, 97 p. (2023; Zbl 07758129) Full Text: DOI arXiv OA License
Lou, Miao Triple correlations of ternary divisor functions. II. (English) Zbl 1528.11098 Int. J. Number Theory 19, No. 7, 1525-1551 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11P55 11T23 PDFBibTeX XMLCite \textit{M. Lou}, Int. J. Number Theory 19, No. 7, 1525--1551 (2023; Zbl 1528.11098) Full Text: DOI
Kim, Jiseong On the asymptotics of the shifted sums of Hecke eigenvalue squares. (English) Zbl 1523.11079 Forum Math. 35, No. 2, 297-328 (2023). Reviewer: Kaisa Matomäki (Turku) MSC: 11F30 11N37 11P55 PDFBibTeX XMLCite \textit{J. Kim}, Forum Math. 35, No. 2, 297--328 (2023; Zbl 1523.11079) Full Text: DOI arXiv
Evans, Natalie Correlations of almost primes. (English) Zbl 1512.11068 Math. Proc. Camb. Philos. Soc. 174, No. 2, 301-344 (2023). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N37 11N05 11N35 PDFBibTeX XMLCite \textit{N. Evans}, Math. Proc. Camb. Philos. Soc. 174, No. 2, 301--344 (2023; Zbl 1512.11068) 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
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
Pandey, Mayank Moment estimates for the exponential sum with higher divisor functions. (English) Zbl 1505.11106 C. R., Math., Acad. Sci. Paris 360, 419-424 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L03 11L07 11L40 11N37 PDFBibTeX XMLCite \textit{M. Pandey}, C. R., Math., Acad. Sci. Paris 360, 419--424 (2022; Zbl 1505.11106) Full Text: DOI arXiv
Acevedo Agudelo, Yeisson Alexis Prime numbers: an alternative study using ova-angular rotations. (English) Zbl 1499.11021 JP J. Algebra Number Theory Appl. 52, No. 1, 127-161 (2021). MSC: 11A41 PDFBibTeX XMLCite \textit{Y. A. Acevedo Agudelo}, JP J. Algebra Number Theory Appl. 52, No. 1, 127--161 (2021; Zbl 1499.11021) Full Text: DOI arXiv
Ng, Nathan The sixth moment of the Riemann zeta function and ternary additive divisor sums. (English) Zbl 1486.11102 Discrete Anal. 2021, Paper No. 6, 60 p. (2021). Reviewer: Hirotaka Akatsuka (Otaru) MSC: 11M06 PDFBibTeX XMLCite \textit{N. Ng}, Discrete Anal. 2021, Paper No. 6, 60 p. (2021; Zbl 1486.11102) Full Text: DOI arXiv
Suzuki, Yuta On prime vs. prime power pairs. (English) Zbl 1476.11131 Math. Z. 295, No. 1-2, 681-710 (2020). Reviewer: Temenoujka Peneva (Plovdiv) MSC: 11P32 11P55 PDFBibTeX XMLCite \textit{Y. Suzuki}, Math. Z. 295, No. 1--2, 681--710 (2020; Zbl 1476.11131) Full Text: DOI arXiv
Matomäki, Kaisa; Radziwiłł, Maksym; Tao, Terence Fourier uniformity of bounded multiplicative functions in short intervals on average. (English) Zbl 1459.11186 Invent. Math. 220, No. 1, 1-58 (2020); correction 220, No. 1, 59 (2020). Reviewer: Maciej Radziejewski (Poznań) MSC: 11N37 11B30 11P32 11N05 PDFBibTeX XMLCite \textit{K. Matomäki} et al., Invent. Math. 220, No. 1, 1--58 (2020; Zbl 1459.11186) Full Text: DOI arXiv Link
Drappeau, Sary; Topacogullari, Berke Combinatorial identities and Titchmarsh’s divisor problem for multiplicative functions. (English) Zbl 1472.11252 Algebra Number Theory 13, No. 10, 2383-2425 (2019). MSC: 11N37 11N25 PDFBibTeX XMLCite \textit{S. Drappeau} and \textit{B. Topacogullari}, Algebra Number Theory 13, No. 10, 2383--2425 (2019; Zbl 1472.11252) Full Text: DOI arXiv
Matomäki, Kaisa; Radziwiłł, Maksym; Tao, Terence Correlations of the von Mangoldt and higher divisor functions. II: Divisor correlations in short ranges. (English) Zbl 1416.11138 Math. Ann. 374, No. 1-2, 793-840 (2019). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11N36 PDFBibTeX XMLCite \textit{K. Matomäki} et al., Math. Ann. 374, No. 1--2, 793--840 (2019; Zbl 1416.11138) Full Text: DOI arXiv Link
Lou, Miao Averages of shifted convolution sums for arithmetic functions. (English) Zbl 1470.11089 Front. Math. China 14, No. 1, 123-134 (2019). MSC: 11F30 11N75 PDFBibTeX XMLCite \textit{M. Lou}, Front. Math. China 14, No. 1, 123--134 (2019; Zbl 1470.11089) Full Text: DOI