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
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
Bui, Hung M.; Pratt, Kyle; Zaharescu, Alexandru A problem of Erdős-Graham-Granville-Selfridge on integral points on hyperelliptic curves. (English) Zbl 07806815 Math. Proc. Camb. Philos. Soc. 176, No. 2, 309-323 (2024). MSC: 11N25 11D41 PDFBibTeX XMLCite \textit{H. M. Bui} et al., Math. Proc. Camb. Philos. Soc. 176, No. 2, 309--323 (2024; Zbl 07806815) Full Text: DOI arXiv OA License
Yang, Daodao Extreme values of derivatives of zeta and \(L\)-functions. (English) Zbl 07798498 Bull. Lond. Math. Soc. 56, No. 1, 79-95 (2024). MSC: 11M06 PDFBibTeX XMLCite \textit{D. Yang}, Bull. Lond. Math. Soc. 56, No. 1, 79--95 (2024; Zbl 07798498) Full Text: DOI arXiv OA License
Soundararajan, Kannan; Xu, Max Wenqiang Central limit theorems for random multiplicative functions. (English) Zbl 07793430 J. Anal. Math. 151, No. 1, 343-374 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11K65 60F05 11N37 PDFBibTeX XMLCite \textit{K. Soundararajan} and \textit{M. W. Xu}, J. Anal. Math. 151, No. 1, 343--374 (2023; Zbl 07793430) Full Text: DOI arXiv
Gorodetsky, Ofir Smooth numbers and the Dickman \(\rho\) function. (English) Zbl 07793423 J. Anal. Math. 151, No. 1, 139-169 (2023). MSC: 11N25 11N05 11N37 PDFBibTeX XMLCite \textit{O. Gorodetsky}, J. Anal. Math. 151, No. 1, 139--169 (2023; Zbl 07793423) Full Text: DOI arXiv OA License
Weingartner, Andreas The mean number of divisors for rough, dense and practical numbers. (English) Zbl 07774966 Int. J. Number Theory 19, No. 10, 2333-2351 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N25 11N37 PDFBibTeX XMLCite \textit{A. Weingartner}, Int. J. Number Theory 19, No. 10, 2333--2351 (2023; Zbl 07774966) Full Text: DOI arXiv
Granville, Andrew; Mangerel, Alexander P. Three conjectures about character sums. (English) Zbl 07761135 Math. Z. 305, No. 3, Paper No. 49, 34 p. (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11L40 11M06 PDFBibTeX XMLCite \textit{A. Granville} and \textit{A. P. Mangerel}, Math. Z. 305, No. 3, Paper No. 49, 34 p. (2023; Zbl 07761135) Full Text: DOI arXiv OA License
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
Garaev, Moubariz Z.; Shparlinski, Igor E. On the distribution of modular inverses from short intervals. (English) Zbl 07754842 Mathematika 69, No. 4, 1183-1194 (2023). MSC: 11J71 11K38 11L05 11N25 PDFBibTeX XMLCite \textit{M. Z. Garaev} and \textit{I. E. Shparlinski}, Mathematika 69, No. 4, 1183--1194 (2023; Zbl 07754842) Full Text: DOI arXiv OA License
Lebowitz-Lockard, Noah; Vandehey, Joseph Arithmetic functions that remain constant on runs of consecutive integers. (English) Zbl 07753336 J. Integer Seq. 26, No. 8, Article 23.8.4, 11 p. (2023). MSC: 11A25 11N64 PDFBibTeX XMLCite \textit{N. Lebowitz-Lockard} and \textit{J. Vandehey}, J. Integer Seq. 26, No. 8, Article 23.8.4, 11 p. (2023; Zbl 07753336) Full Text: Link
Tenenbaum, Gérald On the bias of a probability law for brittle integers. (Sur le biais d’une loi de probabilité relative aux entiers friables.) (French. English summary) Zbl 07750328 J. Théor. Nombres Bordx. 35, No. 2, 481-493 (2023). Reviewer: S. Drappeau (Marseille) MSC: 11N25 11N37 PDFBibTeX XMLCite \textit{G. Tenenbaum}, J. Théor. Nombres Bordx. 35, No. 2, 481--493 (2023; Zbl 07750328) Full Text: DOI
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
Klurman, Oleksiy; Mangerel, Alexander P.; Teräväinen, Joni Multiplicative functions in short arithmetic progressions. (English) Zbl 07740478 Proc. Lond. Math. Soc. (3) 127, No. 2, 366-446 (2023). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N64 11N13 PDFBibTeX XMLCite \textit{O. Klurman} et al., Proc. Lond. Math. Soc. (3) 127, No. 2, 366--446 (2023; Zbl 07740478) Full Text: DOI arXiv OA License
de la Bretèche, Régis; Tenenbaum, Gérald Note on a conjecture of Hildebrand regarding friable integers. (English) Zbl 07732771 Acta Arith. 208, No. 3, 279-283 (2023). Reviewer: Florian Luca (Johannesburg) MSC: 11N25 PDFBibTeX XMLCite \textit{R. de la Bretèche} and \textit{G. Tenenbaum}, Acta Arith. 208, No. 3, 279--283 (2023; Zbl 07732771) 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
Jing, Mengyao; Liu, Huaning Consecutive quadratic residues in Beatty sequences. (English) Zbl 1523.11147 Int. J. Number Theory 19, No. 5, 1167-1189 (2023). Reviewer: Zhihong Sun (Huaian) MSC: 11L40 11A07 11B83 11K45 PDFBibTeX XMLCite \textit{M. Jing} and \textit{H. Liu}, Int. J. Number Theory 19, No. 5, 1167--1189 (2023; Zbl 1523.11147) Full Text: DOI
Savalia, Aditi; Vatwani, Akshaa Limitations to equidistribution in arithmetic progressions. (English) Zbl 1515.11094 Res. Math. Sci. 10, No. 1, Paper No. 9, 39 p. (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11N64 PDFBibTeX XMLCite \textit{A. Savalia} and \textit{A. Vatwani}, Res. Math. Sci. 10, No. 1, Paper No. 9, 39 p. (2023; Zbl 1515.11094) Full Text: DOI
Bujold, Crystel Long large character sums. (English) Zbl 1523.11145 Mathematika 68, No. 1, 15-50 (2022). MSC: 11L40 11N56 11H06 PDFBibTeX XMLCite \textit{C. Bujold}, Mathematika 68, No. 1, 15--50 (2022; Zbl 1523.11145) Full Text: DOI arXiv
Banks, William; Shparlinski, Igor On a conjecture of Soundararajan. (English) Zbl 1523.11166 Bull. Lond. Math. Soc. 54, No. 1, 301-317 (2022). MSC: 11N25 11N69 11M20 PDFBibTeX XMLCite \textit{W. Banks} and \textit{I. Shparlinski}, Bull. Lond. Math. Soc. 54, No. 1, 301--317 (2022; Zbl 1523.11166) Full Text: DOI arXiv
Konyagin, Sergei V.; Shparlinski, Igor E.; Vyugin, Ilya V. Polynomial equations in subgroups and applications. (English) Zbl 1509.11021 Avila, Artur (ed.) et al., Analysis at large. Dedicated to the life and work of Jean Bourgain. Cham: Springer. 273-297 (2022). MSC: 11D25 11G25 11T06 PDFBibTeX XMLCite \textit{S. V. Konyagin} et al., in: Analysis at large. Dedicated to the life and work of Jean Bourgain. Cham: Springer. 273--297 (2022; Zbl 1509.11021) Full Text: DOI arXiv
Kerr, Bryce; Mérai, László; Shparlinski, Igor E. On digits of Mersenne numbers. (English) Zbl 07628547 Rev. Mat. Iberoam. 38, No. 6, 1901-1925 (2022). Reviewer: Wolfgang Steiner (Paris) MSC: 11A63 11A51 11L07 PDFBibTeX XMLCite \textit{B. Kerr} et al., Rev. Mat. Iberoam. 38, No. 6, 1901--1925 (2022; Zbl 07628547) Full Text: DOI arXiv
Liechty, Karl; Petersen, T. Kyle Monotone subsets in lattices and the Schensted shape of a Sós permutation. (English) Zbl 1508.11067 Comb. Theory 2, No. 2, Paper No. 9, 41 p. (2022). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11H06 11B57 11K06 PDFBibTeX XMLCite \textit{K. Liechty} and \textit{T. K. Petersen}, Comb. Theory 2, No. 2, Paper No. 9, 41 p. (2022; Zbl 1508.11067) Full Text: DOI arXiv
Mangerel, Alexander P. Additive functions in short intervals, gaps and a conjecture of Erdős. (English) Zbl 1510.11144 Ramanujan J. 59, No. 4, 1023-1090 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N64 PDFBibTeX XMLCite \textit{A. P. Mangerel}, Ramanujan J. 59, No. 4, 1023--1090 (2022; Zbl 1510.11144) Full Text: DOI arXiv
Wang, Dan Sums of Fourier coefficients of holomorphic cusp forms over integers without large prime factors. (English) Zbl 1498.11199 Indian J. Pure Appl. Math. 53, No. 4, 1090-1109 (2022). MSC: 11N37 11F30 PDFBibTeX XMLCite \textit{D. Wang}, Indian J. Pure Appl. Math. 53, No. 4, 1090--1109 (2022; Zbl 1498.11199) Full Text: DOI
Bergelson, Vitaly; Richter, Florian K. Dynamical generalizations of the prime number theorem and disjointness of additive and multiplicative semigroup actions. (English) Zbl 1514.37018 Duke Math. J. 171, No. 15, 3133-3200 (2022). Reviewer: Tomas Persson (Lund) MSC: 37A44 37A30 37H15 11J71 11A41 PDFBibTeX XMLCite \textit{V. Bergelson} and \textit{F. K. Richter}, Duke Math. J. 171, No. 15, 3133--3200 (2022; Zbl 1514.37018) 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
Bordignon, Matteo Partial Gaussian sums and the Pólya-Vinogradov inequality for primitive characters. (English) Zbl 1501.11084 Rev. Mat. Iberoam. 38, No. 4, 1101-1127 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L40 11L05 PDFBibTeX XMLCite \textit{M. Bordignon}, Rev. Mat. Iberoam. 38, No. 4, 1101--1127 (2022; Zbl 1501.11084) Full Text: DOI arXiv
Jing, Mengyao; Liu, Huaning Consecutive quadratic residues and primitive roots in the sequences formed by twice-differentiable functions. (English) Zbl 1498.11012 Taiwanese J. Math. 26, No. 3, 445-461 (2022). MSC: 11A07 11B83 11L40 PDFBibTeX XMLCite \textit{M. Jing} and \textit{H. Liu}, Taiwanese J. Math. 26, No. 3, 445--461 (2022; Zbl 1498.11012) Full Text: DOI
Fan, Kai (Steve) An inequality for the distribution of numbers free of small prime factors. (English) Zbl 1517.11122 Integers 22, Paper A26, 12 p. (2022). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N25 PDFBibTeX XMLCite \textit{K. Fan}, Integers 22, Paper A26, 12 p. (2022; Zbl 1517.11122) Full Text: Link
Chan, Stephanie; Koymans, Peter; Milovic, Djordjo; Pagano, Carlo The 8-rank of the narrow class group and the negative Pell equation. (English) Zbl 1497.11241 Forum Math. Sigma 10, Paper No. e46, 45 p. (2022). MSC: 11N45 11R29 11R45 11R65 11R11 11R37 PDFBibTeX XMLCite \textit{S. Chan} et al., Forum Math. Sigma 10, Paper No. e46, 45 p. (2022; Zbl 1497.11241) Full Text: DOI
Chakraborty, K.; Kanemitsu, S.; Laurinčikas, A. Complex powers of \(L\)-functions and integers without small prime factors. (English) Zbl 1502.11096 Mediterr. J. Math. 19, No. 4, Paper No. 167, 23 p. (2022). Reviewer: Shin-ya Koyama (Yokohama) MSC: 11M36 11M41 PDFBibTeX XMLCite \textit{K. Chakraborty} et al., Mediterr. J. Math. 19, No. 4, Paper No. 167, 23 p. (2022; Zbl 1502.11096) Full Text: DOI
Suzuki, Koji On the number of semismooth integers. (English) Zbl 1499.11289 Int. J. Number Theory 18, No. 5, 999-1011 (2022). MSC: 11N25 11Y05 PDFBibTeX XMLCite \textit{K. Suzuki}, Int. J. Number Theory 18, No. 5, 999--1011 (2022; Zbl 1499.11289) Full Text: DOI
Mastrostefano, Daniele A lower bound for the variance of generalized divisor functions in arithmetic progressions. (English) Zbl 1489.11155 Ramanujan J. 57, No. 2, 623-695 (2022). MSC: 11N64 11B25 PDFBibTeX XMLCite \textit{D. Mastrostefano}, Ramanujan J. 57, No. 2, 623--695 (2022; Zbl 1489.11155) Full Text: DOI arXiv
Li, Xiaomin Webster sequences, apportionment problems, and just-in-time sequencing. (English) Zbl 1484.11087 Discrete Appl. Math. 306, 52-69 (2022). MSC: 11B83 90B35 91B32 PDFBibTeX XMLCite \textit{X. Li}, Discrete Appl. Math. 306, 52--69 (2022; Zbl 1484.11087) Full Text: DOI arXiv
McGown, Kevin; Treviño, Enrique The least quadratic non-residue. (English) Zbl 1490.11007 Galaz-García, Fernando (ed.) et al., Mexican mathematicians in the world. Trends and recent contributions. IV meeting. Reunión de matemáticos mexicanos en el mundo, Casa Matemática Oaxaca, Oaxaca, Mexico, June 10–15, 2018. Providence, RI: American Mathematical Society (AMS); México: Sociedad Matemática Mexicana. Contemp. Math. 775, 205-231 (2021). MSC: 11A15 PDFBibTeX XMLCite \textit{K. McGown} and \textit{E. Treviño}, Contemp. Math. 775, 205--231 (2021; Zbl 1490.11007) Full Text: DOI
Hajdu, G.; Hajdu, L. On the Liouville function on rational polynomial values. (English) Zbl 1498.11194 Acta Arith. 201, No. 2, 119-130 (2021). Reviewer: Florian Luca (Johannesburg) MSC: 11N32 11G05 11D09 11D25 PDFBibTeX XMLCite \textit{G. Hajdu} and \textit{L. Hajdu}, Acta Arith. 201, No. 2, 119--130 (2021; Zbl 1498.11194) Full Text: DOI
Baker, Roger Smooth numbers in Beatty sequences. (English) Zbl 1498.11191 Acta Arith. 200, No. 4, 429-438 (2021). Reviewer: Florian Luca (Johannesburg) MSC: 11N25 11L03 PDFBibTeX XMLCite \textit{R. Baker}, Acta Arith. 200, No. 4, 429--438 (2021; Zbl 1498.11191) Full Text: DOI arXiv
Shao, Xuancheng; Teräväinen, Joni The Bombieri-Vinogradov theorem for nilsequences. (English) Zbl 1483.11203 Discrete Anal. 2021, Paper No. 21, 55 p. (2021). MSC: 11N13 11B30 11L20 PDFBibTeX XMLCite \textit{X. Shao} and \textit{J. Teräväinen}, Discrete Anal. 2021, Paper No. 21, 55 p. (2021; Zbl 1483.11203) Full Text: DOI arXiv
Richter, Florian K. A new elementary proof of the Prime Number Theorem. (English) Zbl 1485.11139 Bull. Lond. Math. Soc. 53, No. 5, 1365-1375 (2021). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N05 11A41 PDFBibTeX XMLCite \textit{F. K. Richter}, Bull. Lond. Math. Soc. 53, No. 5, 1365--1375 (2021; Zbl 1485.11139) Full Text: DOI arXiv
Bordignon, Matteo A Pólya-Vinogradov inequality for short character sums. (English) Zbl 1487.11078 Can. Math. Bull. 64, No. 4, 906-910 (2021). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11L05 11L40 PDFBibTeX XMLCite \textit{M. Bordignon}, Can. Math. Bull. 64, No. 4, 906--910 (2021; Zbl 1487.11078) Full Text: DOI arXiv
Román, Gábor On sums of monotone functions over smooth numbers. (English) Zbl 1478.11111 Acta Univ. Sapientiae, Math. 13, No. 1, 273-280 (2021). MSC: 11N25 40D05 PDFBibTeX XMLCite \textit{G. Román}, Acta Univ. Sapientiae, Math. 13, No. 1, 273--280 (2021; Zbl 1478.11111) Full Text: DOI
Costello, Craig; Meyer, Michael; Naehrig, Michael Sieving for twin smooth integers with solutions to the Prouhet-Tarry-Escott problem. (English) Zbl 1483.94040 Canteaut, Anne (ed.) et al., Advances in cryptology – EUROCRYPT 2021. 40th annual international conference on the theory and applications of cryptographic techniques, Zagreb, Croatia, October 17–21, 2021. Proceedings. Part I. Cham: Springer. Lect. Notes Comput. Sci. 12696, 272-301 (2021). MSC: 94A60 11N25 81P94 11D72 11G05 PDFBibTeX XMLCite \textit{C. Costello} et al., Lect. Notes Comput. Sci. 12696, 272--301 (2021; Zbl 1483.94040) Full Text: DOI
Assing, Edgar; Blomer, Valentin; Li, Junxian Uniform Titchmarsh divisor problems. (English) Zbl 1484.11194 Adv. Math. 393, Article ID 108076, 51 p. (2021). Reviewer: Florian Luca (Johannesburg) MSC: 11N45 11N13 11F72 11L07 PDFBibTeX XMLCite \textit{E. Assing} et al., Adv. Math. 393, Article ID 108076, 51 p. (2021; Zbl 1484.11194) Full Text: DOI arXiv
Laporta, Maurizio On Ramanujan expansions with multiplicative coefficients. (English) Zbl 1482.11006 Indian J. Pure Appl. Math. 52, No. 2, 486-504 (2021). Reviewer: László Tóth (Pécs) MSC: 11A25 11N37 11K65 PDFBibTeX XMLCite \textit{M. Laporta}, Indian J. Pure Appl. Math. 52, No. 2, 486--504 (2021; Zbl 1482.11006) Full Text: DOI
Lebowitz-Lockard, Noah The distribution of numbers with many ordered factorizations. (English) Zbl 1497.11240 J. Théor. Nombres Bordx. 33, No. 2, 583-606 (2021). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N37 11A25 11A51 PDFBibTeX XMLCite \textit{N. Lebowitz-Lockard}, J. Théor. Nombres Bordx. 33, No. 2, 583--606 (2021; Zbl 1497.11240) Full Text: DOI
de Koninck, Jean-Marie A front row seat to the work of Aleksandar Ivić. (English) Zbl 1473.11162 Bull., Cl. Sci. Math. Nat., Sci. Math. 46, 13-43 (2021). MSC: 11M06 11M26 11N37 11N56 11N64 PDFBibTeX XMLCite \textit{J.-M. de Koninck}, Bull., Cl. Sci. Math. Nat., Sci. Math. 46, 13--43 (2021; Zbl 1473.11162) Full Text: Link
Cellarosi, Francesco; Murty, M. Ram Smooth arithmetical sums over \(k\)-free integers. (English) Zbl 1482.11128 J. Ramanujan Math. Soc. 36, No. 2, 147-156 (2021). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N37 11K65 11M06 PDFBibTeX XMLCite \textit{F. Cellarosi} and \textit{M. R. Murty}, J. Ramanujan Math. Soc. 36, No. 2, 147--156 (2021; Zbl 1482.11128) Full Text: arXiv Link
Ford, Kevin A Hardy-Ramanujan-type inequality for shifted primes and sifted sets. (English) Zbl 1480.11115 Lith. Math. J. 61, No. 3, 323-329 (2021); correction ibid. 62, No. 1, 133 (2022). MSC: 11N25 PDFBibTeX XMLCite \textit{K. Ford}, Lith. Math. J. 61, No. 3, 323--329 (2021; Zbl 1480.11115) Full Text: DOI arXiv
Just, Matthew; Lebowitz-Lockard, Noah On factorizations into coprime parts. (English) Zbl 1485.11141 Int. J. Number Theory 17, No. 8, 1825-1850 (2021). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N56 11A51 11A25 PDFBibTeX XMLCite \textit{M. Just} and \textit{N. Lebowitz-Lockard}, Int. J. Number Theory 17, No. 8, 1825--1850 (2021; Zbl 1485.11141) Full Text: DOI arXiv
McNamara, Redmond Sarnak’s conjecture for sequences of almost quadratic word growth. (English) Zbl 1480.37014 Ergodic Theory Dyn. Syst. 41, No. 10, 3060-3115 (2021). Reviewer: Giovanni Coppola (Napoli) MSC: 37A44 11N37 11K65 PDFBibTeX XMLCite \textit{R. McNamara}, Ergodic Theory Dyn. Syst. 41, No. 10, 3060--3115 (2021; Zbl 1480.37014) Full Text: DOI arXiv
Hasanalizade, Elchin Distribution of the divisor function at consecutive integers. (English) Zbl 1469.11378 Bull. Aust. Math. Soc. 103, No. 2, 244-247 (2021). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N36 11N37 PDFBibTeX XMLCite \textit{E. Hasanalizade}, Bull. Aust. Math. Soc. 103, No. 2, 244--247 (2021; Zbl 1469.11378) Full Text: DOI
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
Sun, Alec Zero-sum subsequences in bounded-sum \(\{-r,s\}\)-sequences. (English) Zbl 1468.11081 J. Comb. Theory, Ser. A 179, Article ID 105385, 34 p. (2021). MSC: 11B75 05D10 11K38 PDFBibTeX XMLCite \textit{A. Sun}, J. Comb. Theory, Ser. A 179, Article ID 105385, 34 p. (2021; Zbl 1468.11081) Full Text: DOI arXiv
Mehdizadeh, Marzieh The multiplication table for smooth integers. (English) Zbl 1468.11192 J. Number Theory 219, 172-197 (2021). MSC: 11N25 PDFBibTeX XMLCite \textit{M. Mehdizadeh}, J. Number Theory 219, 172--197 (2021; Zbl 1468.11192) Full Text: DOI arXiv
Mangerel, Alexander P. On the bivariate Erdős-Kac theorem and correlations of the Möbius function. (English) Zbl 1489.11153 Math. Proc. Camb. Philos. Soc. 169, No. 3, 547-605 (2020). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N60 11N36 11N25 11N37 PDFBibTeX XMLCite \textit{A. P. Mangerel}, Math. Proc. Camb. Philos. Soc. 169, No. 3, 547--605 (2020; Zbl 1489.11153) Full Text: DOI arXiv
De La Bretèche, R.; Fiorilli, D. Friable integers in arithmetic progressions of large modulus. (Entiers friables dans des progressions arithmétiques de grand module.) (French. English summary) Zbl 1479.11165 Math. Proc. Camb. Philos. Soc. 169, No. 1, 75-102 (2020). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N25 11B25 11N37 11N69 PDFBibTeX XMLCite \textit{R. De La Bretèche} and \textit{D. Fiorilli}, Math. Proc. Camb. Philos. Soc. 169, No. 1, 75--102 (2020; Zbl 1479.11165) Full Text: DOI arXiv
Mossinghoff, Michael J.; Trudgian, Timothy S. A tale of two omegas. (English) Zbl 1469.11311 Brenner, Susanne C. (ed.) et al., 75 years of mathematics of computation. Symposium celebrating 75 years of mathematics of computation, Institute for Computational and Experimental Research in Mathematics, ICERM, Providence, RI, USA, November 1–3, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 754, 343-364 (2020). MSC: 11M26 11N64 11Y35 11Y70 PDFBibTeX XMLCite \textit{M. J. Mossinghoff} and \textit{T. S. Trudgian}, Contemp. Math. 754, 343--364 (2020; Zbl 1469.11311) Full Text: DOI arXiv
Munsch, Marc The maximum size of short character sums. (English) Zbl 1468.11169 Ramanujan J. 53, No. 1, 27-38 (2020). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L40 11N25 PDFBibTeX XMLCite \textit{M. Munsch}, Ramanujan J. 53, No. 1, 27--38 (2020; Zbl 1468.11169) Full Text: DOI arXiv
Molchanov, Stanislav A.; Panov, Vladimir A. The Dickman-Goncharov distribution. (English. Russian original) Zbl 1473.60009 Russ. Math. Surv. 75, No. 6, 1089-1132 (2020); translation from Usp. Mat. Nauk 75, No. 6, 107-152 (2020). Reviewer: Arakaparampil M. Mathai (Montréal) MSC: 60B10 60E07 60G50 62E15 11A41 34A05 PDFBibTeX XMLCite \textit{S. A. Molchanov} and \textit{V. A. Panov}, Russ. Math. Surv. 75, No. 6, 1089--1132 (2020; Zbl 1473.60009); translation from Usp. Mat. Nauk 75, No. 6, 107--152 (2020) Full Text: DOI
Shteĭnikov, Yuriĭ N. On the size of the set of the product of sets of rational numbers. (Russian. English summary) Zbl 1454.11053 Chebyshevskiĭ Sb. 21, No. 1(73), 336-342 (2020). MSC: 11B75 11N99 PDFBibTeX XMLCite \textit{Y. N. Shteĭnikov}, Chebyshevskiĭ Sb. 21, No. 1(73), 336--342 (2020; Zbl 1454.11053) Full Text: MNR
Mehdizadeh, Marzieh Erdős-Kac theorem for smooth and ultra-smooth integers. (English) Zbl 1469.11391 Integers 20, Paper A80, 12 p. (2020). MSC: 11N64 PDFBibTeX XMLCite \textit{M. Mehdizadeh}, Integers 20, Paper A80, 12 p. (2020; Zbl 1469.11391) Full Text: arXiv Link
Nyandwi, S.; Smati, A. Distribution laws of friable divisors. (English) Zbl 1469.11376 Integers 20, Paper A39, 23 p. (2020). Reviewer: Florian Luca (Johannesburg) MSC: 11N25 11N37 PDFBibTeX XMLCite \textit{S. Nyandwi} and \textit{A. Smati}, Integers 20, Paper A39, 23 p. (2020; Zbl 1469.11376) Full Text: arXiv Link
Tongsomporn, Janyarak; Steuding, Jörn Irregularities in the distribution of prime numbers in a Beatty sequence. (English) Zbl 1486.11114 Can. Math. Bull. 63, No. 4, 738-743 (2020). Reviewer: Giovanni Coppola (Napoli) MSC: 11N05 11A41 11B83 PDFBibTeX XMLCite \textit{J. Tongsomporn} and \textit{J. Steuding}, Can. Math. Bull. 63, No. 4, 738--743 (2020; Zbl 1486.11114) Full Text: DOI
Merikoski, Jori Limit points of normalized prime gaps. (English) Zbl 1470.11234 J. Lond. Math. Soc., II. Ser. 102, No. 1, 99-124 (2020). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N05 11N36 PDFBibTeX XMLCite \textit{J. Merikoski}, J. Lond. Math. Soc., II. Ser. 102, No. 1, 99--124 (2020; Zbl 1470.11234) Full Text: DOI arXiv
Saha, Biswajyoti; Sankaranarayanan, Ayyadurai; Suzuki, Yuta An asymptotic formula and some explicit estimates of the counting function of \(y\)-friable numbers. (English) Zbl 1456.11178 Mishou, Hidehiko (ed.) et al., Various aspects of multiple zeta functions – in honor of Professor Kohji Matsumoto’s 60th birthday. Proceedings of the international conference, Nagoya University, Nagoya, Japan August 21–25, 2020. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 84, 367-397 (2020). MSC: 11N25 11N37 PDFBibTeX XMLCite \textit{B. Saha} et al., Adv. Stud. Pure Math. 84, 367--397 (2020; Zbl 1456.11178) Full Text: DOI Euclid
He, Xinwei; Hildebrand, A. J.; Li, Yuchen; Zhang, Yunyi Complexity of leading digit sequences. (English) Zbl 1456.11135 Discrete Math. Theor. Comput. Sci. 22, No. 1, Paper No. 14, 30 p. (2020). MSC: 11K31 PDFBibTeX XMLCite \textit{X. He} et al., Discrete Math. Theor. Comput. Sci. 22, No. 1, Paper No. 14, 30 p. (2020; Zbl 1456.11135) Full Text: DOI arXiv
Bordignon, Matteo; Kerr, Bryce An explicit Pólya-Vinogradov inequality via partial Gaussian sums. (English) Zbl 1467.11078 Trans. Am. Math. Soc. 373, No. 9, 6503-6527 (2020). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11L40 11L05 11H06 11H60 PDFBibTeX XMLCite \textit{M. Bordignon} and \textit{B. Kerr}, Trans. Am. Math. Soc. 373, No. 9, 6503--6527 (2020; Zbl 1467.11078) Full Text: DOI arXiv
Kerr, Bryce; Shparlinski, Igor E.; Yau, Kam Hung A refinement of the Burgess bound for character sums. (English) Zbl 1471.11229 Mich. Math. J. 69, No. 2, 227-240 (2020). Reviewer: Arjun Singh Chetry (Guwahati) MSC: 11L40 11N25 PDFBibTeX XMLCite \textit{B. Kerr} et al., Mich. Math. J. 69, No. 2, 227--240 (2020; Zbl 1471.11229) Full Text: DOI arXiv Euclid
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
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 1458.11138 J. Eur. Math. Soc. (JEMS) 22, No. 5, 1577-1624 (2020). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N32 11N75 PDFBibTeX XMLCite \textit{R. De la Bretèche} and \textit{S. Drappeau}, J. Eur. Math. Soc. (JEMS) 22, No. 5, 1577--1624 (2020; Zbl 1458.11138) Full Text: DOI
Rajasekaran, Aayush; Shallit, Jeffrey; Smith, Tim Additive number theory via automata theory. (English) Zbl 1475.11040 Theory Comput. Syst. 64, No. 3, 542-567 (2020). Reviewer: Volker Ziegler (Salzburg) MSC: 11B85 11A63 68Q45 PDFBibTeX XMLCite \textit{A. Rajasekaran} et al., Theory Comput. Syst. 64, No. 3, 542--567 (2020; Zbl 1475.11040) Full Text: DOI
Kerr, Bryce On the constant in the Pólya-Vinogradov inequality. (English) Zbl 1439.11194 J. Number Theory 212, 265-284 (2020). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11L05 11L07 PDFBibTeX XMLCite \textit{B. Kerr}, J. Number Theory 212, 265--284 (2020; Zbl 1439.11194) Full Text: DOI arXiv
Liu, Jianya; Wu, Jie; Xi, Ping Primes in arithmetic progressions with friable indices. (English) Zbl 1471.11243 Sci. China, Math. 63, No. 1, 23-38 (2020). MSC: 11N05 11N13 11N25 11N36 PDFBibTeX XMLCite \textit{J. Liu} et al., Sci. China, Math. 63, No. 1, 23--38 (2020; Zbl 1471.11243) Full Text: DOI
Tenenbaum, Gérald On local laws for the number of small prime factors. (English) Zbl 1466.11064 Ramanujan J. 51, No. 1, 153-161 (2020). Reviewer: Giovanni Coppola (Napoli) MSC: 11N25 11N37 11N60 PDFBibTeX XMLCite \textit{G. Tenenbaum}, Ramanujan J. 51, No. 1, 153--161 (2020; Zbl 1466.11064) Full Text: DOI arXiv
Cai, Zhaodong; Faust, Matthew; Hildebrand, A. J.; Li, Junxian; Zhang, Yuan The surprising accuracy of Benford’s law in mathematics. (English) Zbl 1471.11221 Am. Math. Mon. 127, No. 3, 217-237 (2020). MSC: 11K31 11K38 11Y55 60F99 PDFBibTeX XMLCite \textit{Z. Cai} et al., Am. Math. Mon. 127, No. 3, 217--237 (2020; Zbl 1471.11221) Full Text: DOI arXiv
Kim, Sungjin Some theorems on multiplicative orders modulo \(p\) on average. (English) Zbl 1480.11119 J. Number Theory 208, 180-207 (2020). MSC: 11N37 11A07 PDFBibTeX XMLCite \textit{S. Kim}, J. Number Theory 208, 180--207 (2020; Zbl 1480.11119) Full Text: DOI arXiv
Kline, Jeffery On the eigenstructure of sparse matrices related to the prime number theorem. (English) Zbl 1427.15014 Linear Algebra Appl. 584, 409-430 (2020). Reviewer: John D. Dixon (Ottawa) MSC: 15A18 11A41 11M26 65F50 PDFBibTeX XMLCite \textit{J. Kline}, Linear Algebra Appl. 584, 409--430 (2020; Zbl 1427.15014) Full Text: DOI
Wu, Jie Elliott-Halberstam conjecture and values taken by the largest prime factor of shifted primes. (English) Zbl 1472.11247 J. Number Theory 206, 282-295 (2020). MSC: 11N05 11N25 11N36 PDFBibTeX XMLCite \textit{J. Wu}, J. Number Theory 206, 282--295 (2020; Zbl 1472.11247) Full Text: DOI HAL
Nitaj, Abderrahmane; Fouotsa, Emmanuel A new attack on RSA and Demytko’s elliptic curve cryptosystem. (English) Zbl 1495.94065 J. Discrete Math. Sci. Cryptography 22, No. 3, 391-409 (2019). MSC: 94A60 11K60 14H52 14G50 PDFBibTeX XMLCite \textit{A. Nitaj} and \textit{E. Fouotsa}, J. Discrete Math. Sci. Cryptography 22, No. 3, 391--409 (2019; Zbl 1495.94065) Full Text: DOI Link
Ngo, Hieu T. On an almost-prime sieve. (English) Zbl 1462.11073 Acta Arith. 191, No. 4, 341-359 (2019). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N36 11M06 PDFBibTeX XMLCite \textit{H. T. Ngo}, Acta Arith. 191, No. 4, 341--359 (2019; Zbl 1462.11073) Full Text: DOI
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
Tao, Terence; Teräväinen, Joni Value patterns of multiplicative functions and related sequences. (English) Zbl 1433.11112 Forum Math. Sigma 7, Paper No. e33, 55 p. (2019). MSC: 11N64 11B05 37A44 PDFBibTeX XMLCite \textit{T. Tao} and \textit{J. Teräväinen}, Forum Math. Sigma 7, Paper No. e33, 55 p. (2019; Zbl 1433.11112) Full Text: DOI arXiv
Hegyvári, Norbert; Hennecart, François; Pach, Péter Pál On the density of sumsets and product sets. (English) Zbl 1452.11014 Australas. J. Comb. 74, Part 1, 1-16 (2019). Reviewer: Sandor Kiss (Budapest) MSC: 11B13 PDFBibTeX XMLCite \textit{N. Hegyvári} et al., Australas. J. Comb. 74, Part 1, 1--16 (2019; Zbl 1452.11014) Full Text: arXiv Link
Yang, Shichun; Luca, Florian; Togbé, Alain On a divisibility problem. (English) Zbl 1474.11018 Math. Bohem. 144, No. 2, 125-135 (2019). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A05 PDFBibTeX XMLCite \textit{S. Yang} et al., Math. Bohem. 144, No. 2, 125--135 (2019; Zbl 1474.11018) Full Text: DOI
Thorner, Jesse; Zaman, Asif A unified and improved Chebotarev density theorem. (English) Zbl 1443.11239 Algebra Number Theory 13, No. 5, 1039-1068 (2019). Reviewer: Günter Lettl (Graz) MSC: 11R44 PDFBibTeX XMLCite \textit{J. Thorner} and \textit{A. Zaman}, Algebra Number Theory 13, No. 5, 1039--1068 (2019; Zbl 1443.11239) Full Text: DOI arXiv Backlinks: MO
Champanerkar, Abhijit; Kofman, Ilya; Lalín, Matilde Mahler measure and the Vol-Det conjecture. (English) Zbl 1428.57001 J. Lond. Math. Soc., II. Ser. 99, No. 3, 872-900 (2019). Reviewer: Igor V. Nikolaev (New York) MSC: 57K10 57K30 11R06 05A16 11G55 PDFBibTeX XMLCite \textit{A. Champanerkar} et al., J. Lond. Math. Soc., II. Ser. 99, No. 3, 872--900 (2019; Zbl 1428.57001) Full Text: DOI arXiv
Anil Kumar, C. P. On the gaps in multiplicatively closed sets generated by at most two elements. (English) Zbl 1448.11021 Proc. Indian Acad. Sci., Math. Sci. 129, No. 3, Paper No. 42, 15 p. (2019). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 11B05 11B25 11N25 11N69 PDFBibTeX XMLCite \textit{C. P. Anil Kumar}, Proc. Indian Acad. Sci., Math. Sci. 129, No. 3, Paper No. 42, 15 p. (2019; Zbl 1448.11021) Full Text: DOI arXiv
Kinlaw, Paul Lower bounds for numbers with three prime factors. (English) Zbl 1441.11244 Integers 19, Paper A22, 18 p. (2019). Reviewer: Gennady Bachman (Las Vegas) MSC: 11N25 PDFBibTeX XMLCite \textit{P. Kinlaw}, Integers 19, Paper A22, 18 p. (2019; Zbl 1441.11244) Full Text: Link
De Koninck, Jean-Marie; Kátai, Imre On the values of the Euler function around shifted primes. (English. French summary) Zbl 1436.11118 Ann. Math. Qué. 43, No. 1, 37-50 (2019). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N60 11N25 26A15 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Ann. Math. Qué. 43, No. 1, 37--50 (2019; Zbl 1436.11118) Full Text: DOI
Granville, Andrew; Shao, Xuancheng Bombieri-Vinogradov for multiplicative functions, and beyond the \(x^{1/2}\)-barrier. (English) Zbl 1473.11185 Adv. Math. 350, 304-358 (2019). Reviewer: Valentin Blomer (Bonn) MSC: 11N37 PDFBibTeX XMLCite \textit{A. Granville} and \textit{X. Shao}, Adv. Math. 350, 304--358 (2019; Zbl 1473.11185) Full Text: DOI arXiv
Dietzel, Carsten On a theorem of Hildebrand. (English) Zbl 1450.11017 Mosc. J. Comb. Number Theory 8, No. 2, 189-191 (2019). Reviewer: László A. Székely (Columbia) MSC: 11B75 PDFBibTeX XMLCite \textit{C. Dietzel}, Mosc. J. Comb. Number Theory 8, No. 2, 189--191 (2019; Zbl 1450.11017) Full Text: DOI arXiv Euclid
Browning, Tim; Loughran, Daniel Sieving rational points on varieties. (English) Zbl 1412.14015 Trans. Am. Math. Soc. 371, No. 8, 5757-5785 (2019). Reviewer: D. R. Heath-Brown (Garsington) MSC: 14G05 11G35 11N36 11P55 PDFBibTeX XMLCite \textit{T. Browning} and \textit{D. Loughran}, Trans. Am. Math. Soc. 371, No. 8, 5757--5785 (2019; Zbl 1412.14015) Full Text: DOI arXiv
Cai, Zhaodong; Hildebrand, A. J.; Li, Junxian A local Benford law for a class of arithmetic sequences. (English) Zbl 1445.11079 Int. J. Number Theory 15, No. 3, 613-638 (2019). Reviewer: Wolfgang Steiner (Sydney) MSC: 11K31 11K06 11N05 11B05 PDFBibTeX XMLCite \textit{Z. Cai} et al., Int. J. Number Theory 15, No. 3, 613--638 (2019; Zbl 1445.11079) Full Text: DOI arXiv
Luca, Florian; Moree, Pieter; Osburn, Robert; Eddin, Sumaia Saad; Sedunova, Alisa Constrained ternary integers. (English) Zbl 1437.11148 Int. J. Number Theory 15, No. 2, 407-431 (2019). Reviewer: Gennady Bachman (Las Vegas) MSC: 11R09 11C08 PDFBibTeX XMLCite \textit{F. Luca} et al., Int. J. Number Theory 15, No. 2, 407--431 (2019; Zbl 1437.11148) Full Text: DOI arXiv
Lü, Xiaodong; Wang, Zhiwei; Chen, Bin On the smooth values of shifted almost-primes. (English) Zbl 1459.11179 Int. J. Number Theory 15, No. 1, 1-9 (2019). MSC: 11N05 11N36 PDFBibTeX XMLCite \textit{X. Lü} et al., Int. J. Number Theory 15, No. 1, 1--9 (2019; Zbl 1459.11179) Full Text: DOI
Kalmynin, A. B. Large values of short character sums. (English) Zbl 1454.11150 J. Number Theory 198, 200-210 (2019). MSC: 11L07 PDFBibTeX XMLCite \textit{A. B. Kalmynin}, J. Number Theory 198, 200--210 (2019; Zbl 1454.11150) Full Text: DOI arXiv
Fromm, Elijah; Goldmakher, Leo Improving the Burgess bound via Pólya-Vinogradov. (English) Zbl 1414.11100 Proc. Am. Math. Soc. 147, No. 2, 461-466 (2019). Reviewer: Huaning Liu (Shaanxi) MSC: 11L40 11N37 11N56 PDFBibTeX XMLCite \textit{E. Fromm} and \textit{L. Goldmakher}, Proc. Am. Math. Soc. 147, No. 2, 461--466 (2019; Zbl 1414.11100) Full Text: DOI arXiv
Klagsbrun, Zev; Sherman, Travis; Weigandt, James The Elkies curve has rank 28 subject only to GRH. (English) Zbl 1469.11171 Math. Comput. 88, No. 316, 837-846 (2019). MSC: 11G05 11Y40 14G05 14H52 PDFBibTeX XMLCite \textit{Z. Klagsbrun} et al., Math. Comput. 88, No. 316, 837--846 (2019; Zbl 1469.11171) Full Text: DOI arXiv