Datta, Arghya On the distribution of polynomials having a given number of irreducible factors over finite fields. (English) Zbl 07643763 Res. Number Theory 9, No. 1, Paper No. 13, 24 p. (2023). Reviewer: Luis Gallardo (Brest) MSC: 11T06 11N37 11T55 11N56 PDF BibTeX XML Cite \textit{A. Datta}, Res. Number Theory 9, No. 1, Paper No. 13, 24 p. (2023; Zbl 07643763) Full Text: DOI arXiv OpenURL
McGrath, Oliver A variation of the prime k-tuples conjecture with applications to quantum limits. (English) Zbl 07605971 Math. Ann. 384, No. 3-4, 1343-1407 (2022). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N36 11N35 PDF BibTeX XML Cite \textit{O. McGrath}, Math. Ann. 384, No. 3--4, 1343--1407 (2022; Zbl 07605971) Full Text: DOI arXiv OpenURL
De La Bretèche, Régis; Tenenbaum, Gérald Remarks on the Selberg-Delange method. (English) Zbl 1483.11210 Acta Arith. 200, No. 4, 349-369 (2021). MSC: 11N37 PDF BibTeX XML Cite \textit{R. De La Bretèche} and \textit{G. Tenenbaum}, Acta Arith. 200, No. 4, 349--369 (2021; Zbl 1483.11210) Full Text: DOI arXiv OpenURL
Downey, Jenna; Martin, Greg Counting multiplicative groups with prescribed subgroups. (English) Zbl 1482.11124 Int. J. Number Theory 17, No. 9, 2087-2112 (2021). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N25 11N37 11N45 11N64 20K01 PDF BibTeX XML Cite \textit{J. Downey} and \textit{G. Martin}, Int. J. Number Theory 17, No. 9, 2087--2112 (2021; Zbl 1482.11124) Full Text: DOI arXiv OpenURL
Feng, B.; Wu, J. The arcsine law on divisors in arithmetic progressions modulo prime powers. (English) Zbl 1474.11161 Acta Math. Hung. 163, No. 2, 392-406 (2021). MSC: 11N37 PDF BibTeX XML Cite \textit{B. Feng} and \textit{J. Wu}, Acta Math. Hung. 163, No. 2, 392--406 (2021; Zbl 1474.11161) Full Text: DOI HAL OpenURL
Chang, Ben; Martin, Greg The smallest invariant factor of the multiplicative group. (English) Zbl 1456.11177 Int. J. Number Theory 16, No. 6, 1377-1405 (2020). MSC: 11N25 11N37 11N45 11N64 20K01 PDF BibTeX XML Cite \textit{B. Chang} and \textit{G. Martin}, Int. J. Number Theory 16, No. 6, 1377--1405 (2020; Zbl 1456.11177) Full Text: DOI arXiv OpenURL
Wu, Jie; Wu, Qiang Mean values for a class of arithmetic functions in short intervals. (English) Zbl 07197944 Math. Nachr. 293, No. 1, 178-202 (2020). MSC: 11N37 11N60 PDF BibTeX XML Cite \textit{J. Wu} and \textit{Q. Wu}, Math. Nachr. 293, No. 1, 178--202 (2020; Zbl 07197944) Full Text: DOI arXiv OpenURL
Wang, Dan The Selberg-Delange method in short intervals for the Dedekind zeta function. (English) Zbl 1461.11155 Acta Arith. 192, No. 3, 301-311 (2020). MSC: 11R42 11M41 PDF BibTeX XML Cite \textit{D. Wang}, Acta Arith. 192, No. 3, 301--311 (2020; Zbl 1461.11155) Full Text: DOI OpenURL
Labihi, O.; Raouj, A. Estimation of certain short sums. (Estimation de certaines sommes courtes.) (French) Zbl 1472.11258 J. Number Theory 206, 231-249 (2020). MSC: 11N37 PDF BibTeX XML Cite \textit{O. Labihi} and \textit{A. Raouj}, J. Number Theory 206, 231--249 (2020; Zbl 1472.11258) Full Text: DOI OpenURL
Feng, Bin; Wu, Jie \(\beta\)-law on divisors of integers representable as sum of two squares. (Chinese. English summary) Zbl 1499.11291 Sci. Sin., Math. 49, No. 11, 1563-1572 (2019). MSC: 11N37 11N60 PDF BibTeX XML Cite \textit{B. Feng} and \textit{J. Wu}, Sci. Sin., Math. 49, No. 11, 1563--1572 (2019; Zbl 1499.11291) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{H. T. Ngo}, Acta Arith. 191, No. 4, 341--359 (2019; Zbl 1462.11073) Full Text: DOI OpenURL
Feng, Bin Sums of multiplicative function in special arithmetic progressions. (English) Zbl 07088764 Czech. Math. J. 69, No. 1, 1-10 (2019). Reviewer: Giovanni Coppola (Napoli) MSC: 11N37 PDF BibTeX XML Cite \textit{B. Feng}, Czech. Math. J. 69, No. 1, 1--10 (2019; Zbl 07088764) Full Text: DOI OpenURL
Granville, Andrew; Koukoulopoulos, Dimitris Beyond the LSD method for the partial sums of multiplicative functions. (English) Zbl 1455.11128 Ramanujan J. 49, No. 2, 287-319 (2019). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N37 PDF BibTeX XML Cite \textit{A. Granville} and \textit{D. Koukoulopoulos}, Ramanujan J. 49, No. 2, 287--319 (2019; Zbl 1455.11128) Full Text: DOI arXiv OpenURL
Cui, Zhen; Lü, Guangshi; Wu, Jie The Selberg-Delange method in short intervals with some applications. (English) Zbl 1441.11251 Sci. China, Math. 62, No. 3, 447-468 (2019). MSC: 11N37 PDF BibTeX XML Cite \textit{Z. Cui} et al., Sci. China, Math. 62, No. 3, 447--468 (2019; Zbl 1441.11251) Full Text: DOI HAL OpenURL
Feng, Bin; Liu, Shuang The distribution for some certain factorizations of the natural number in arithmetic progressions. (Chinese. English summary) Zbl 1399.11022 J. Shanghai Jiaotong Univ. (Chin. Ed.) 51, No. 11, 1405-1408 (2017). MSC: 11A51 11B25 11N64 PDF BibTeX XML Cite \textit{B. Feng} and \textit{S. Liu}, J. Shanghai Jiaotong Univ. (Chin. Ed.) 51, No. 11, 1405--1408 (2017; Zbl 1399.11022) Full Text: DOI OpenURL
Goudout, Élie Local laws of the \(\omega\) function in almost all short intervals. (Lois locales de la fonction \(\omega\) dans presque tous les petits intervalles.) (French. English summary) Zbl 1392.11074 Proc. Lond. Math. Soc. (3) 115, No. 3, 599-637 (2017). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N25 11N60 PDF BibTeX XML Cite \textit{É. Goudout}, Proc. Lond. Math. Soc. (3) 115, No. 3, 599--637 (2017; Zbl 1392.11074) Full Text: DOI arXiv OpenURL
Feng, Bin On the arcsine law on divisors in arithmetic progressions. (English) Zbl 1346.11053 Indag. Math., New Ser. 27, No. 3, 749-763 (2016). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N37 11B25 PDF BibTeX XML Cite \textit{B. Feng}, Indag. Math., New Ser. 27, No. 3, 749--763 (2016; Zbl 1346.11053) Full Text: DOI OpenURL
Yao, Weili A generalization of the Montgomery-Hooley theorem. (English) Zbl 1406.11098 J. Number Theory 162, 496-517 (2016). MSC: 11N25 PDF BibTeX XML Cite \textit{W. Yao}, J. Number Theory 162, 496--517 (2016; Zbl 1406.11098) Full Text: DOI OpenURL
Bellaïche, Joël; Soundararajan, Kannan The number of nonzero coefficients of modular forms mod \(p\). (English) Zbl 1379.11053 Algebra Number Theory 9, No. 8, 1825-1856 (2015). MSC: 11F33 11F25 11N25 11N37 PDF BibTeX XML Cite \textit{J. Bellaïche} and \textit{K. Soundararajan}, Algebra Number Theory 9, No. 8, 1825--1856 (2015; Zbl 1379.11053) Full Text: DOI arXiv OpenURL
Avdeeva, Maria; Li, Dong; Sinai, Yakov G. New limiting distributions for the Möbius function. (English) Zbl 1318.11100 Mosc. J. Comb. Number Theory 4, No. 1, 3-51 (2014). Reviewer: Mehdi Hassani (Zanjan) MSC: 11K65 11N37 28A33 60F05 PDF BibTeX XML Cite \textit{M. Avdeeva} et al., Mosc. J. Comb. Number Theory 4, No. 1, 3--51 (2014; Zbl 1318.11100) OpenURL
Cui, Zhen; Wu, Jie The Selberg-Delange method in short intervals with an application. (English) Zbl 1303.11108 Acta Arith. 163, No. 3, 247-260 (2014). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N37 PDF BibTeX XML Cite \textit{Z. Cui} and \textit{J. Wu}, Acta Arith. 163, No. 3, 247--260 (2014; Zbl 1303.11108) Full Text: DOI OpenURL
Vandehey, J. The normality of digits in almost constant additive functions. (English) Zbl 1284.11105 Monatsh. Math. 171, No. 3-4, 481-497 (2013). Reviewer: Manfred G. Madritsch (Vandœuvre) MSC: 11K16 11A63 PDF BibTeX XML Cite \textit{J. Vandehey}, Monatsh. Math. 171, No. 3--4, 481--497 (2013; Zbl 1284.11105) Full Text: DOI arXiv OpenURL
Ding, L.; Kanemitsu, S.; Laurinčikas, A. On the summatory function of a class of multiplicative functions. (English) Zbl 1210.11103 Lith. Math. J. 46, No. 1, 92-101 (2006); and Liet. Mat. Rink. 46, No. 1, 111-122 (2006). Reviewer: Olaf Ninnemann (Berlin) MSC: 11N37 11M45 PDF BibTeX XML Cite \textit{L. Ding} et al., Lith. Math. J. 46, No. 1, 92--101 (2006; Zbl 1210.11103) Full Text: DOI OpenURL
Pétermann, Y.-F. S. Several singularities of non-integral orders for asymptotic estimates. (English) Zbl 1151.11050 Analysis, München 24, No. 3, 239-253 (2004). Reviewer: Eira J. Scourfield (Egham) MSC: 11N37 30E20 30F99 PDF BibTeX XML Cite \textit{Y. F. S. Pétermann}, Analysis, München 24, No. 3, 239--253 (2004; Zbl 1151.11050) OpenURL
Lau, Yuk-Kam; Wu, Jie Sums of some multiplicative functions over a special set of integers. (English) Zbl 0991.11050 Acta Arith. 101, No. 4, 365-394 (2002). Reviewer: Aleksandar Ivić (Beograd) MSC: 11N37 11L07 11M06 11N25 PDF BibTeX XML Cite \textit{Y.-K. Lau} and \textit{J. Wu}, Acta Arith. 101, No. 4, 365--394 (2002; Zbl 0991.11050) Full Text: DOI OpenURL
Moree, Pieter; Cazaran, Jilyana On a claim of Ramanujan in his first letter to Hardy. (English) Zbl 0973.11084 Expo. Math. 17, No. 4, 289-311 (1999). Reviewer: Olivier Ramaré (Lille) MSC: 11N37 11N36 11N25 01A60 11-03 11A25 PDF BibTeX XML Cite \textit{P. Moree} and \textit{J. Cazaran}, Expo. Math. 17, No. 4, 289--311 (1999; Zbl 0973.11084) OpenURL
Tenenbaum, Gérald Introduction to analytic and probabilistic number theory. Transl. from the 2nd French ed. by C.B.Thomas. (English) Zbl 0831.11001 Cambridge Studies in Advanced Mathematics. 46. Cambridge: Cambridge Univ. Press. xiv, 448 p. (1995). Reviewer: Wolfgang Schwarz (Frankfurt am Main) MSC: 11-01 11-02 11Nxx 11Kxx 11Mxx 11Lxx 11N35 11N37 11N56 11A41 11A25 11K65 11L40 11N60 11M06 11M45 11N05 11N13 11L07 PDF BibTeX XML Cite \textit{G. Tenenbaum}, Introduction to analytic and probabilistic number theory. Transl. from the 2nd French ed. by C. B.Thomas. Cambridge: Cambridge Univ. Press (1995; Zbl 0831.11001) OpenURL
Wu, Jie On a problem of Rényi. (Sur un problème de Rényi.) (French) Zbl 0818.11037 Monatsh. Math. 117, No. 3-4, 303-322 (1994). Reviewer: Wolfgang Schwarz (Frankfurt / Main) MSC: 11N37 11N25 PDF BibTeX XML Cite \textit{J. Wu}, Monatsh. Math. 117, No. 3--4, 303--322 (1994; Zbl 0818.11037) Full Text: DOI OpenURL