Campolongo, Elizabeth G.; Taylor, Krystal Lattice points close to the Heisenberg spheres. (English) Zbl 07669381 Matematica 2, No. 1, 156-196 (2023). MSC: 11P21 11H06 28A75 11N37 PDF BibTeX XML Cite \textit{E. G. Campolongo} and \textit{K. Taylor}, Matematica 2, No. 1, 156--196 (2023; Zbl 07669381) Full Text: DOI arXiv OpenURL
Tangsupphathawat, Pinthira; Srichan, Teerapat; Laohakosol, Vichian Character sums over generalized square-full integers and applications. (English) Zbl 07667034 J. Anal. 31, No. 1, 733-745 (2023). MSC: 11L40 11A07 11N37 11N69 PDF BibTeX XML Cite \textit{P. Tangsupphathawat} et al., J. Anal. 31, No. 1, 733--745 (2023; Zbl 07667034) Full Text: DOI OpenURL
Tóth, László Short proofs, generalizations, and applications of certain identities concerning multiple Dirichlet series. (English) Zbl 07662500 J. Integer Seq. 26, No. 2, Article 23.2.1, 15 p. (2023). MSC: 11A25 11A05 11N37 PDF BibTeX XML Cite \textit{L. Tóth}, J. Integer Seq. 26, No. 2, Article 23.2.1, 15 p. (2023; Zbl 07662500) Full Text: arXiv Link OpenURL
Li, Jiamin; Ma, Jing On a sum involving small arithmetic function and the integral part function. (English) Zbl 07662014 J. Number Theory 247, 35-45 (2023). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N37 11L07 PDF BibTeX XML Cite \textit{J. Li} and \textit{J. Ma}, J. Number Theory 247, 35--45 (2023; Zbl 07662014) Full Text: DOI OpenURL
Gao, Peng; Zhao, Liangyi Mean squares of quadratic twists of the Möbius function. (English) Zbl 07662012 J. Number Theory 247, 1-14 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11L05 11L40 PDF BibTeX XML Cite \textit{P. Gao} and \textit{L. Zhao}, J. Number Theory 247, 1--14 (2023; Zbl 07662012) Full Text: DOI arXiv OpenURL
Montgomery, Hugh L; Vaughan, Robert C. Multiplicative number theory. I. Classical theory. ICM Edition. Reprint of the 2007 edition. (English) Zbl 07661676 Cambridge Studies in Advanced Mathematics 97. Cambridge: Cambridge University Press (ISBN 978-0-521-16892-2/pbk; 978-0-511-61831-4/ebook). xvii, 552 p. (2023). MSC: 11-01 11N05 11N13 11N25 11N35 11N36 11N37 11M06 11M20 11M26 11A41 PDF BibTeX XML Cite \textit{H. L Montgomery} and \textit{R. C. Vaughan}, Multiplicative number theory. I. Classical theory. ICM Edition. Reprint of the 2007 edition. Cambridge: Cambridge University Press (2023; Zbl 07661676) OpenURL
Balasubramanian, Ramachandran; Ramaré, Olivier; Srivastav, Priyamvad Product of three primes in large arithmetic progressions. (English) Zbl 07661277 Int. J. Number Theory 19, No. 4, 843-857 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N13 11A41 11N37 11B13 PDF BibTeX XML Cite \textit{R. Balasubramanian} et al., Int. J. Number Theory 19, No. 4, 843--857 (2023; Zbl 07661277) Full Text: DOI arXiv OpenURL
Mukherjee, Gargi Log-convexity and the overpartition function. (English) Zbl 07659065 Ramanujan J. 60, No. 2, 517-531 (2023). Reviewer: Firdous Ahmad Mala (Srinagar) MSC: 05A20 11N37 PDF BibTeX XML Cite \textit{G. Mukherjee}, Ramanujan J. 60, No. 2, 517--531 (2023; Zbl 07659065) Full Text: DOI arXiv OpenURL
Zhao, Yuetong; Zhai, Wenguang; Li, Jinjiang Sums of the \(k\)th divisor function of the ternary quadratic with prime variables. (English) Zbl 07659063 Ramanujan J. 60, No. 2, 485-504 (2023). MSC: 11P55 11N37 PDF BibTeX XML Cite \textit{Y. Zhao} et al., Ramanujan J. 60, No. 2, 485--504 (2023; Zbl 07659063) Full Text: DOI OpenURL
Hong, Letong; Ono, Ken; Zhang, Shengtong Euler-Kronecker constants for cyclotomic fields. (English) Zbl 07657543 Bull. Aust. Math. Soc. 107, No. 1, 79-84 (2023). MSC: 11R18 11M06 11N37 11R42 11Y60 PDF BibTeX XML Cite \textit{L. Hong} et al., Bull. Aust. Math. Soc. 107, No. 1, 79--84 (2023; Zbl 07657543) Full Text: DOI arXiv OpenURL
Harper, Adam J. Almost sure large fluctuations of random multiplicative functions. (English) Zbl 07656165 Int. Math. Res. Not. 2023, No. 3, 2095-2138 (2023). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11K65 11N37 PDF BibTeX XML Cite \textit{A. J. Harper}, Int. Math. Res. Not. 2023, No. 3, 2095--2138 (2023; Zbl 07656165) Full Text: DOI arXiv OpenURL
Feng, Ya-Fang Consecutive square-free values of the type \(x^{2}+y^{2}+z^{2}+k\), \(x^{2}+y^{2}+z^{2}+k+1\). (English) Zbl 07655769 Czech. Math. J. 73, No. 1, 297-310 (2023). MSC: 11N37 11L05 11L40 PDF BibTeX XML Cite \textit{Y.-F. Feng}, Czech. Math. J. 73, No. 1, 297--310 (2023; Zbl 07655769) Full Text: DOI OpenURL
Alkan, Emre Discretization of prime counting functions, convexity and the Riemann hypothesis. (English) Zbl 07655754 Czech. Math. J. 73, No. 1, 15-48 (2023). MSC: 11N05 11N37 11A41 PDF BibTeX XML Cite \textit{E. Alkan}, Czech. Math. J. 73, No. 1, 15--48 (2023; Zbl 07655754) Full Text: DOI OpenURL
Simonič, Aleksander Estimates for \(L\)-functions in the critical strip under GRH with effective applications. (English) Zbl 07654954 Mediterr. J. Math. 20, No. 2, Paper No. 87, 24 p. (2023). Reviewer: Stelian Mihalas (Timişoara) MSC: 11M06 11M26 11N37 PDF BibTeX XML Cite \textit{A. Simonič}, Mediterr. J. Math. 20, No. 2, Paper No. 87, 24 p. (2023; Zbl 07654954) Full Text: DOI arXiv OpenURL
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 07654834 J. Math. Anal. Appl. 521, No. 2, Article ID 126928, 28 p. (2023). MSC: 11N37 11N13 11N35 11L40 11N36 PDF BibTeX XML Cite \textit{S. Dey} and \textit{A. Savalia}, J. Math. Anal. Appl. 521, No. 2, Article ID 126928, 28 p. (2023; Zbl 07654834) Full Text: DOI arXiv OpenURL
Matomäki, Kaisa; Radziwiłł, Maksym; Tao, Terence; Teräväinen, Joni; Ziegler, Tamar Higher uniformity of bounded multiplicative functions in short intervals on average. (English) Zbl 07654586 Ann. Math. (2) 197, No. 2, 739-857 (2023). MSC: 11N37 11B30 37A44 PDF BibTeX XML Cite \textit{K. Matomäki} et al., Ann. Math. (2) 197, No. 2, 739--857 (2023; Zbl 07654586) Full Text: DOI arXiv OpenURL
Sun, Wenbo Sarnak’s conjecture for nilsequences on arbitrary number fields and applications. (English) Zbl 07654563 Adv. Math. 415, Article ID 108883, 91 p. (2023). MSC: 11N37 05D10 11B30 11N60 11N80 11R04 37A45 PDF BibTeX XML Cite \textit{W. Sun}, Adv. Math. 415, Article ID 108883, 91 p. (2023; Zbl 07654563) Full Text: DOI arXiv OpenURL
Inoue, Shōta; Kiuchi, Isao On sums of gcd-sum functions. (English) Zbl 07654414 Int. J. Number Theory 19, No. 3, 593-619 (2023). MSC: 11A25 11N37 11P99 PDF BibTeX XML Cite \textit{S. Inoue} and \textit{I. Kiuchi}, Int. J. Number Theory 19, No. 3, 593--619 (2023; Zbl 07654414) Full Text: DOI OpenURL
Juyal, Abhishek; Maji, Bibekananda; Sathyanarayana, Sumukha An asymptotic expansion for a Lambert series associated to the symmetric square \(L\)-function. (English) Zbl 07654411 Int. J. Number Theory 19, No. 3, 553-567 (2023). MSC: 11M06 11M26 11N37 PDF BibTeX XML Cite \textit{A. Juyal} et al., Int. J. Number Theory 19, No. 3, 553--567 (2023; Zbl 07654411) Full Text: DOI arXiv OpenURL
Abdullah, H. O.; Mustafa, A. Ali; Pappalardi, F. Divisibility of reduction in groups of rational numbers. II. (English) Zbl 07654396 Int. J. Number Theory 19, No. 2, 247-260 (2023). MSC: 11N37 11A07 PDF BibTeX XML Cite \textit{H. O. Abdullah} et al., Int. J. Number Theory 19, No. 2, 247--260 (2023; Zbl 07654396) Full Text: DOI OpenURL
Chen, Shi-Chao Odd values of partition functions related to binary quadratic forms. (English) Zbl 07654395 Int. J. Number Theory 19, No. 2, 237-246 (2023). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P83 11E25 11N37 PDF BibTeX XML Cite \textit{S.-C. Chen}, Int. J. Number Theory 19, No. 2, 237--246 (2023; Zbl 07654395) Full Text: DOI OpenURL
Evans, Natalie Correlations of almost primes. (English) Zbl 07652999 Math. Proc. Camb. Philos. Soc. 174, No. 2, 301-344 (2023). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N37 11N05 11N35 PDF BibTeX XML Cite \textit{N. Evans}, Math. Proc. Camb. Philos. Soc. 174, No. 2, 301--344 (2023; Zbl 07652999) Full Text: DOI arXiv OpenURL
De Koninck, Jean-Marie; Razafindrasoanaivolala, A. Arthur Bonkli On the quotient of the logarithms of the middle divisors of an integer. (English) Zbl 07652925 Afr. Mat. 34, No. 1, Paper No. 2, 13 p. (2023). MSC: 11N25 11N37 PDF BibTeX XML Cite \textit{J.-M. De Koninck} and \textit{A. A. B. Razafindrasoanaivolala}, Afr. Mat. 34, No. 1, Paper No. 2, 13 p. (2023; Zbl 07652925) Full Text: DOI OpenURL
Gorodetsky, Ofir; Mangerel, Alexander; Rodgers, Brad Squarefrees are Gaussian in short intervals. (English) Zbl 07650589 J. Reine Angew. Math. 795, 1-44 (2023). MSC: 11N25 11N37 60F05 60G22 PDF BibTeX XML Cite \textit{O. Gorodetsky} et al., J. Reine Angew. Math. 795, 1--44 (2023; Zbl 07650589) Full Text: DOI arXiv OpenURL
Savalia, Aditi; Vatwani, Akshaa Limitations to equidistribution in arithmetic progressions. (English) Zbl 07649462 Res. Math. Sci. 10, No. 1, Paper No. 9, 39 p. (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11N64 PDF BibTeX XML Cite \textit{A. Savalia} and \textit{A. Vatwani}, Res. Math. Sci. 10, No. 1, Paper No. 9, 39 p. (2023; Zbl 07649462) Full Text: DOI OpenURL
Ramaré, Olivier; Sedunova, Alisa; Sharma, Ritika A higher order Levin-Faĭnleĭb theorem. (English) Zbl 07647781 Proc. Indian Acad. Sci., Math. Sci. 133, No. 1, Paper No. 1, 14 p. (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 PDF BibTeX XML Cite \textit{O. Ramaré} et al., Proc. Indian Acad. Sci., Math. Sci. 133, No. 1, Paper No. 1, 14 p. (2023; Zbl 07647781) Full Text: DOI arXiv OpenURL
Srisopha, Sunanta; Srichan, Teerapat; Mavecha, Sukrawan Consecutive generalized \(r\)-free integers in Beatty sequences. (English) Zbl 07643862 Bol. Soc. Mat. Mex., III. Ser. 29, No. 1, Paper No. 17, 9 p. (2023). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11N37 11B25 11B83 11L07 PDF BibTeX XML Cite \textit{S. Srisopha} et al., Bol. Soc. Mat. Mex., III. Ser. 29, No. 1, Paper No. 17, 9 p. (2023; Zbl 07643862) Full Text: DOI OpenURL
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
An, Chen A generalization of Graham’s estimate on the Barban-Vehov problem. (English) Zbl 07643758 Res. Number Theory 9, No. 1, Paper No. 8, 26 p. (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11N35 PDF BibTeX XML Cite \textit{C. An}, Res. Number Theory 9, No. 1, Paper No. 8, 26 p. (2023; Zbl 07643758) Full Text: DOI arXiv OpenURL
Simonič, Aleksander; Starichkova, Valeriia V. Atkinson’s formula for the mean square of \(\zeta (s)\) with an explicit error term. (English) Zbl 07641101 J. Number Theory 244, 111-168 (2023). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11M06 11N37 11Y35 PDF BibTeX XML Cite \textit{A. Simonič} and \textit{V. V. Starichkova}, J. Number Theory 244, 111--168 (2023; Zbl 07641101) Full Text: DOI arXiv OpenURL
Pollack, Paul; Troupe, Lee Sums of proper divisors follow the Erdős-Kac law. (English) Zbl 07640163 Proc. Am. Math. Soc. 151, No. 3, 977-988 (2023). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N64 11N37 11N56 PDF BibTeX XML Cite \textit{P. Pollack} and \textit{L. Troupe}, Proc. Am. Math. Soc. 151, No. 3, 977--988 (2023; Zbl 07640163) Full Text: DOI arXiv OpenURL
Bedhouche, Abdelmalek; Farhi, Bakir On some products taken over prime numbers. (English) Zbl 07640045 J. Integer Seq. 26, No. 1, Article 23.1.5, 16 p. (2023). MSC: 11A41 11A05 11N37 PDF BibTeX XML Cite \textit{A. Bedhouche} and \textit{B. Farhi}, J. Integer Seq. 26, No. 1, Article 23.1.5, 16 p. (2023; Zbl 07640045) Full Text: arXiv Link OpenURL
Lemke Oliver, Robert J.; Shrestha, Sunrose T.; Thorne, Frank Asymptotic identities for additive convolutions of sums of divisors. (English) Zbl 07635094 Math. Proc. Camb. Philos. Soc. 174, No. 1, 59-78 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 32G15 11L05 PDF BibTeX XML Cite \textit{R. J. Lemke Oliver} et al., Math. Proc. Camb. Philos. Soc. 174, No. 1, 59--78 (2023; Zbl 07635094) Full Text: DOI arXiv OpenURL
Kumar, Arvind; Kumari, Moni; Moree, Pieter; Singh, Sujeet Kumar Ramanujan-style congruences for prime level. (English) Zbl 07633384 Math. Z. 303, No. 1, Paper No. 19, 22 p. (2023). MSC: 11F33 11F11 11F80 11N37 PDF BibTeX XML Cite \textit{A. Kumar} et al., Math. Z. 303, No. 1, Paper No. 19, 22 p. (2023; Zbl 07633384) Full Text: DOI arXiv OpenURL
Ciolan, Alexandru; Languasco, Alessandro; Moree, Pieter Landau and Ramanujan approximations for divisor sums and coefficients of cusp forms. (English) Zbl 07624143 J. Math. Anal. Appl. 519, No. 2, Article ID 126854, 48 p. (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11R42 11F33 PDF BibTeX XML Cite \textit{A. Ciolan} et al., J. Math. Anal. Appl. 519, No. 2, Article ID 126854, 48 p. (2023; Zbl 07624143) Full Text: DOI arXiv OpenURL
Banerjee, Debika; Khyati On Wigert’s type divisor problem. (English) Zbl 07595133 J. Math. Anal. Appl. 517, No. 2, Article ID 126619, 23 p. (2023). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N37 11M06 11L07 PDF BibTeX XML Cite \textit{D. Banerjee} and \textit{Khyati}, J. Math. Anal. Appl. 517, No. 2, Article ID 126619, 23 p. (2023; Zbl 07595133) Full Text: DOI OpenURL
Heap, Winston; Sahay, Anurag; Wooley, Trevor D. A paucity problem associated with a shifted integer analogue of the divisor function. (English) Zbl 07595073 J. Number Theory 242, 660-668 (2023). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N37 11D45 PDF BibTeX XML Cite \textit{W. Heap} et al., J. Number Theory 242, 660--668 (2023; Zbl 07595073) Full Text: DOI arXiv OpenURL
Lee, Jungyun; Lee, Yoonjin; Yoo, Jinjoo The mean value of the class numbers of cubic function fields. (English) Zbl 07590519 J. Math. Anal. Appl. 517, No. 1, Article ID 126582, 19 p. (2023). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11R58 11N45 11R29 PDF BibTeX XML Cite \textit{J. Lee} et al., J. Math. Anal. Appl. 517, No. 1, Article ID 126582, 19 p. (2023; Zbl 07590519) Full Text: DOI OpenURL
Zhai, Wenguang Manin’s conjecture for a class of singular cubic hypersurfaces. (English) Zbl 07662762 Front. Math. China 17, No. 6, 1089-1132 (2022). MSC: 11D45 11N37 PDF BibTeX XML Cite \textit{W. Zhai}, Front. Math. China 17, No. 6, 1089--1132 (2022; Zbl 07662762) Full Text: DOI OpenURL
Sui, Yankun; Liu, Dan Error term concerning number of subgroups of group \(\mathbb{Z}_m \times \mathbb{Z}_n\) with \(m^2 + n^2 \le x\). (English) Zbl 07662754 Front. Math. China 17, No. 5, 987-999 (2022). MSC: 11A25 11N37 20K01 20K27 PDF BibTeX XML Cite \textit{Y. Sui} and \textit{D. Liu}, Front. Math. China 17, No. 5, 987--999 (2022; Zbl 07662754) Full Text: DOI OpenURL
Hua, Guodong A quadratic form with prime variables associated with Hecke eigenvalues of a cusp form. (English) Zbl 07655781 Czech. Math. J. 72, No. 4, 1047-1054 (2022). MSC: 11F30 11F41 11N37 PDF BibTeX XML Cite \textit{G. Hua}, Czech. Math. J. 72, No. 4, 1047--1054 (2022; Zbl 07655781) Full Text: DOI OpenURL
Liu, Xiaoli; Yang, Zhishan Weighted Erdős-Kac type theorem over quadratic field in short intervals. (English) Zbl 07655774 Czech. Math. J. 72, No. 4, 957-976 (2022). MSC: 11N60 11N37 11N45 PDF BibTeX XML Cite \textit{X. Liu} and \textit{Z. Yang}, Czech. Math. J. 72, No. 4, 957--976 (2022; Zbl 07655774) Full Text: DOI OpenURL
Srichan, Teerapat Square-free and square-full part of an integer. (English) Zbl 07648974 Asian-Eur. J. Math. 15, No. 12, Article ID 2250211, 14 p. (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L40 11N25 11N37 PDF BibTeX XML Cite \textit{T. Srichan}, Asian-Eur. J. Math. 15, No. 12, Article ID 2250211, 14 p. (2022; Zbl 07648974) Full Text: DOI OpenURL
Bauer, C. A Montgomery-Hooley theorem for the number of Goldbach representations. (English) Zbl 07644628 Acta Math. Hung. 168, No. 1, 95-112 (2022). MSC: 11P32 11B25 11N37 PDF BibTeX XML Cite \textit{C. Bauer}, Acta Math. Hung. 168, No. 1, 95--112 (2022; Zbl 07644628) Full Text: DOI OpenURL
Bouderbala, Mihoub On a new arithmethic additive function related to the generalized divisors of an integer. (English) Zbl 07644050 Math. Montisnigri 55, 25-30 (2022). MSC: 11N25 11N37 PDF BibTeX XML Cite \textit{M. Bouderbala}, Math. Montisnigri 55, 25--30 (2022; Zbl 07644050) Full Text: DOI OpenURL
Andersen, Nickolas; Duke, William Asymptotic distribution of traces of singular moduli. (English) Zbl 07643617 Discrete Anal. 2022, Paper No. 4, 14 p. (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11F37 11L05 11N37 PDF BibTeX XML Cite \textit{N. Andersen} and \textit{W. Duke}, Discrete Anal. 2022, Paper No. 4, 14 p. (2022; Zbl 07643617) Full Text: DOI arXiv OpenURL
Kiuchi, Isao On a sum involving squarefull numbers. (English) Zbl 07632899 Rocky Mt. J. Math. 52, No. 5, 1713-1718 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11A25 PDF BibTeX XML Cite \textit{I. Kiuchi}, Rocky Mt. J. Math. 52, No. 5, 1713--1718 (2022; Zbl 07632899) Full Text: DOI Link OpenURL
Parkkonen, Jouni; Paulin, Frédéric On the statistics of pairs of logarithms of integers. (English) Zbl 07626197 Mosc. J. Comb. Number Theory 11, No. 4, 335-372 (2022). Reviewer: Symon Serbenyuk (Kyjiw) MSC: 11J83 11K38 11N37 53C22 PDF BibTeX XML Cite \textit{J. Parkkonen} and \textit{F. Paulin}, Mosc. J. Comb. Number Theory 11, No. 4, 335--372 (2022; Zbl 07626197) Full Text: DOI arXiv OpenURL
Vaishya, Lalit Deterministic comparison of Hecke eigenvalues at the primes represented by a binary quadratic form. (English) Zbl 07625698 Int. J. Math. 33, No. 12, Article ID 2250082, 17 p. (2022). Reviewer: Ahmet Tekcan (Bursa) MSC: 11F30 11F11 11M06 11N37 PDF BibTeX XML Cite \textit{L. Vaishya}, Int. J. Math. 33, No. 12, Article ID 2250082, 17 p. (2022; Zbl 07625698) Full Text: DOI OpenURL
Bayad, Abdelmejid; Hajli, Mounir The extended eulerian numbers over function fields. (English) Zbl 07624723 Appl. Anal. Discrete Math. 16, No. 2, 508-523 (2022). MSC: 11A25 11N37 11G40 11R42 PDF BibTeX XML Cite \textit{A. Bayad} and \textit{M. Hajli}, Appl. Anal. Discrete Math. 16, No. 2, 508--523 (2022; Zbl 07624723) Full Text: DOI OpenURL
Hamieh, Alia; Ng, Nathan Mean values of long Dirichlet polynomials with higher divisor coefficients. (English) Zbl 07622204 Adv. Math. 410 B, Article ID 108759, 61 p. (2022). Reviewer: Sami Omar (Sukhair) MSC: 11M06 11M26 11M41 11N37 11N75 PDF BibTeX XML Cite \textit{A. Hamieh} and \textit{N. Ng}, Adv. Math. 410 B, Article ID 108759, 61 p. (2022; Zbl 07622204) Full Text: DOI arXiv OpenURL
Chiriac, Liubomir The average number of divisors in certain arithmetic sequences. (English) Zbl 07614085 Math. Pannonica (N.S.) 28, No. 2, 136-142 (2022). Reviewer: Shigeru Kanemitsu (Kitakyushu) MSC: 11N37 11F30 11B75 PDF BibTeX XML Cite \textit{L. Chiriac}, Math. Pannonica (N.S.) 28, No. 2, 136--142 (2022; Zbl 07614085) Full Text: DOI OpenURL
Hua, G. On the simultaneous sign changes of Hecke eigenvalues over an integral binary quadratic form. (English) Zbl 07614056 Acta Math. Hung. 167, No. 2, 476-491 (2022). MSC: 11F11 11F30 11N37 PDF BibTeX XML Cite \textit{G. Hua}, Acta Math. Hung. 167, No. 2, 476--491 (2022; Zbl 07614056) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{D. Wang}, Indian J. Pure Appl. Math. 53, No. 4, 1090--1109 (2022; Zbl 1498.11199) Full Text: DOI OpenURL
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). MSC: 11G05 11N13 11N36 11N45 11R45 PDF BibTeX XML Cite \textit{Y. Akbal} and \textit{A. M. Güloğlu}, Can. J. Math. 74, No. 5, 1277--1309 (2022; Zbl 07613385) Full Text: DOI arXiv OpenURL
Gadd, Cora; Wong, Ka Lun A generalization to Bellman and Shapiro’s method on the sum of digital sum functions. (English) Zbl 1502.11010 PUMP J. Undergrad. Res. 5, 176-187 (2022). MSC: 11A63 11N37 PDF BibTeX XML Cite \textit{C. Gadd} and \textit{K. L. Wong}, PUMP J. Undergrad. Res. 5, 176--187 (2022; Zbl 1502.11010) Full Text: Link OpenURL
Aymone, Marco Complex valued multiplicative functions with bounded partial sums. (English) Zbl 07610205 Bull. Braz. Math. Soc. (N.S.) 53, No. 4, 1317-1329 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 PDF BibTeX XML Cite \textit{M. Aymone}, Bull. Braz. Math. Soc. (N.S.) 53, No. 4, 1317--1329 (2022; Zbl 07610205) Full Text: DOI arXiv OpenURL
Waibel, Fabian Uniform bounds for norms of theta series and arithmetic applications. (English) Zbl 07605299 Math. Proc. Camb. Philos. Soc. 173, No. 3, 669-691 (2022). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11F27 11F30 11P05 11N37 PDF BibTeX XML Cite \textit{F. Waibel}, Math. Proc. Camb. Philos. Soc. 173, No. 3, 669--691 (2022; Zbl 07605299) Full Text: DOI arXiv OpenURL
Srichan, Teerapat Multiplicative functions of special type on Piatetski-Shapiro sequences. (English) Zbl 1499.11294 Math. Slovaca 72, No. 5, 1145-1150 (2022). MSC: 11N37 11N56 11L03 11L07 PDF BibTeX XML Cite \textit{T. Srichan}, Math. Slovaca 72, No. 5, 1145--1150 (2022; Zbl 1499.11294) Full Text: DOI OpenURL
Zhou, Guang-Liang; Ding, Yuchen Sums of the higher divisor function of diagonal homogeneous forms. (English) Zbl 1498.11200 Ramanujan J. 59, No. 3, 933-945 (2022). MSC: 11N37 11E76 11P55 PDF BibTeX XML Cite \textit{G.-L. Zhou} and \textit{Y. Ding}, Ramanujan J. 59, No. 3, 933--945 (2022; Zbl 1498.11200) Full Text: DOI OpenURL
Aymone, Marco; Bueno, Caio; Medeiros, Kevin Multiplicative functions supported on the \(k\)-free integers with small partial sums. (English) Zbl 1504.11099 Ramanujan J. 59, No. 3, 713-728 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11L40 11M26 PDF BibTeX XML Cite \textit{M. Aymone} et al., Ramanujan J. 59, No. 3, 713--728 (2022; Zbl 1504.11099) Full Text: DOI arXiv OpenURL
Wang, Ke Möbius disjointness for distal flows in short intervals. (English) Zbl 07601313 Acta Math. Sin., Engl. Ser. 38, No. 9, 1512-1522 (2022). MSC: 11L03 11L20 11P32 11N37 37A44 PDF BibTeX XML Cite \textit{K. Wang}, Acta Math. Sin., Engl. Ser. 38, No. 9, 1512--1522 (2022; Zbl 07601313) Full Text: DOI OpenURL
Sanna, Carlo On the exponents in the factorizations of \(r\) consecutive numbers. (English) Zbl 07600457 Quaest. Math. 45, No. 8, 1221-1228 (2022). MSC: 11N25 11N37 11N64 PDF BibTeX XML Cite \textit{C. Sanna}, Quaest. Math. 45, No. 8, 1221--1228 (2022; Zbl 07600457) Full Text: DOI OpenURL
de Koninck, Jean-Marie; Kátai, Imre Consecutive neighbour spacings between the prime divisors of an integer. (English) Zbl 07600230 Colloq. Math. 170, No. 2, 289-305 (2022). Reviewer: Gennady Bachman (Las Vegas) MSC: 11N37 11A05 PDF BibTeX XML Cite \textit{J.-M. de Koninck} and \textit{I. Kátai}, Colloq. Math. 170, No. 2, 289--305 (2022; Zbl 07600230) Full Text: DOI OpenURL
de la Bretèche, Régis; Granville, Andrew Exponential sums with multiplicative coefficients and applications. (English) Zbl 07599873 Trans. Am. Math. Soc. 375, No. 10, 6875-6901 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11L03 11P55 PDF BibTeX XML Cite \textit{R. de la Bretèche} and \textit{A. Granville}, Trans. Am. Math. Soc. 375, No. 10, 6875--6901 (2022; Zbl 07599873) Full Text: DOI arXiv OpenURL
Jiang, Yujiao; Lü, Guangshi; Wang, Zhiwei Averaged forms of two conjectures of Erdős and Pomerance, and their applications. (English) Zbl 07597085 Adv. Math. 409 A, Article ID 108592, 42 p. (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11P55 11N25 11N36 PDF BibTeX XML Cite \textit{Y. Jiang} et al., Adv. Math. 409 A, Article ID 108592, 42 p. (2022; Zbl 07597085) Full Text: DOI OpenURL
Hough, Robert D.; Lee, Eun Hye Subconvexity of Shintani’s zeta function. (English) Zbl 07595846 Trans. Am. Math. Soc. 375, No. 11, 8277-8295 (2022). Reviewer: Wen-Wei Li (Beijing) MSC: 11M41 11N45 11N64 11F12 11H06 11E45 PDF BibTeX XML Cite \textit{R. D. Hough} and \textit{E. H. Lee}, Trans. Am. Math. Soc. 375, No. 11, 8277--8295 (2022; Zbl 07595846) Full Text: DOI arXiv OpenURL
Dona, Daniele; Zuniga Alterman, Sebastian On the Atkinson formula for the \(\zeta\) function. (English) Zbl 07584815 J. Math. Anal. Appl. 516, No. 2, Article ID 126478, 34 p. (2022). Reviewer: Ghaith A. Hiary (Columbus) MSC: 11M06 11N37 PDF BibTeX XML Cite \textit{D. Dona} and \textit{S. Zuniga Alterman}, J. Math. Anal. Appl. 516, No. 2, Article ID 126478, 34 p. (2022; Zbl 07584815) Full Text: DOI arXiv OpenURL
Jiménez Urroz, Jorge Every integer can be written as a square plus a squarefree. (English) Zbl 07584615 Expo. Math. 40, No. 3, 665-678 (2022). Reviewer: Huafeng Liu (Jinan) MSC: 11P32 11N37 PDF BibTeX XML Cite \textit{J. Jiménez Urroz}, Expo. Math. 40, No. 3, 665--678 (2022; Zbl 07584615) Full Text: DOI arXiv OpenURL
Sanna, Carlo A survey on coefficients of cyclotomic polynomials. (English) Zbl 07584609 Expo. Math. 40, No. 3, 469-494 (2022). Reviewer: Florian Luca (Johannesburg) MSC: 11N37 11B83 PDF BibTeX XML Cite \textit{C. Sanna}, Expo. Math. 40, No. 3, 469--494 (2022; Zbl 07584609) Full Text: DOI arXiv OpenURL
Fouvry, Étienne; Koymans, Peter; Pagano, Carlo On the \(4\)-rank of class groups of Dirichlet biquadratic fields. (English) Zbl 1502.11102 J. Inst. Math. Jussieu 21, No. 5, 1543-1570 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N45 11R29 PDF BibTeX XML Cite \textit{É. Fouvry} et al., J. Inst. Math. Jussieu 21, No. 5, 1543--1570 (2022; Zbl 1502.11102) Full Text: DOI arXiv OpenURL
Kiuchi, Isao On sums of sums involving cube-full numbers. (English) Zbl 07576464 Ramanujan J. 59, No. 1, 279-296 (2022). MSC: 11N37 PDF BibTeX XML Cite \textit{I. Kiuchi}, Ramanujan J. 59, No. 1, 279--296 (2022; Zbl 07576464) Full Text: DOI OpenURL
Liu, Kui; Lu, Meijie; Meng, Xianchang Generalized visibility of lattice points in higher dimensions. (English) Zbl 07575700 J. Number Theory 241, 314-329 (2022). Reviewer: David Lowry-Duda (Providence) MSC: 11N37 11H06 11A05 PDF BibTeX XML Cite \textit{K. Liu} et al., J. Number Theory 241, 314--329 (2022; Zbl 07575700) Full Text: DOI OpenURL
Laga, Jef The average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 3. (English) Zbl 07574687 Algebra Number Theory 16, No. 5, 1161-1212 (2022). MSC: 11G30 11E72 11N45 14G05 14G25 14H40 14H45 PDF BibTeX XML Cite \textit{J. Laga}, Algebra Number Theory 16, No. 5, 1161--1212 (2022; Zbl 07574687) Full Text: DOI arXiv OpenURL
Sanna, Carlo On the divisibility of the rank of appearance of a Lucas sequence. (English) Zbl 1501.11030 Int. J. Number Theory 18, No. 10, 2145-2156 (2022). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11B39 11N05 11N37 PDF BibTeX XML Cite \textit{C. Sanna}, Int. J. Number Theory 18, No. 10, 2145--2156 (2022; Zbl 1501.11030) Full Text: DOI arXiv OpenURL
Chinis, Jake On the Liouville function in short intervals. (English) Zbl 07570163 Int. Math. Res. Not. 2022, No. 15, 11203-11219 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11M06 PDF BibTeX XML Cite \textit{J. Chinis}, Int. Math. Res. Not. 2022, No. 15, 11203--11219 (2022; Zbl 07570163) Full Text: DOI arXiv OpenURL
Brent, Richard P.; Platt, David J.; Trudgian, Timothy S. The mean square of the error term in the prime number theorem. (English) Zbl 07569752 J. Number Theory 238, 740-762 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11M26 PDF BibTeX XML Cite \textit{R. P. Brent} et al., J. Number Theory 238, 740--762 (2022; Zbl 07569752) Full Text: DOI arXiv Backlinks: MO OpenURL
Stucky, Joshua The fractional sum of small arithmetic functions. (English) Zbl 07569751 J. Number Theory 238, 731-739 (2022). Reviewer: Shigeru Kanemitsu (Kitakyushu) MSC: 11L07 11N37 PDF BibTeX XML Cite \textit{J. Stucky}, J. Number Theory 238, 731--739 (2022; Zbl 07569751) Full Text: DOI arXiv OpenURL
Elliott, Jesse Asymptotic expansions of the prime counting function. (English) Zbl 07569740 J. Number Theory 238, 353-395 (2022). Reviewer: László Tóth (Pécs) MSC: 11N05 11N45 11N80 11R42 30B70 44A15 PDF BibTeX XML Cite \textit{J. Elliott}, J. Number Theory 238, 353--395 (2022; Zbl 07569740) Full Text: DOI arXiv OpenURL
Bordellès, Olivier On certain sums of number theory. (English) Zbl 1502.11100 Int. J. Number Theory 18, No. 9, 2053-2074 (2022). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N37 11L07 PDF BibTeX XML Cite \textit{O. Bordellès}, Int. J. Number Theory 18, No. 9, 2053--2074 (2022; Zbl 1502.11100) Full Text: DOI arXiv OpenURL
Zhai, Wenguang On a sum involving small arithmetic functions. (English) Zbl 1502.11088 Int. J. Number Theory 18, No. 9, 2029-2052 (2022). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11L05 11N37 PDF BibTeX XML Cite \textit{W. Zhai}, Int. J. Number Theory 18, No. 9, 2029--2052 (2022; Zbl 1502.11088) Full Text: DOI OpenURL
Kiuchi, Isao; Saad Eddin, Sumaia On the weighted average number of subgroups of \(\mathbb{Z}_m\times \mathbb{Z}_n\) with \(mn\leq x\). (English) Zbl 07566175 Int. J. Number Theory 18, No. 9, 2005-2013 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11N45 PDF BibTeX XML Cite \textit{I. Kiuchi} and \textit{S. Saad Eddin}, Int. J. Number Theory 18, No. 9, 2005--2013 (2022; Zbl 07566175) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Wei, Fei Disjointness of Möbius from asymptotically periodic functions. (English) Zbl 07565123 Pure Appl. Math. Q. 18, No. 3, 863-922 (2022). MSC: 37A44 37A46 37A30 42A75 11N37 PDF BibTeX XML Cite \textit{F. Wei}, Pure Appl. Math. Q. 18, No. 3, 863--922 (2022; Zbl 07565123) Full Text: DOI arXiv OpenURL
Iwata, Hideto On the Volterra integral equation for the remainder term in the asymptotic formula on the associated Euler totient function. (English) Zbl 07565109 JP J. Algebra Number Theory Appl. 55, 23-36 (2022). MSC: 45D05 11A25 11N37 PDF BibTeX XML Cite \textit{H. Iwata}, JP J. Algebra Number Theory Appl. 55, 23--36 (2022; Zbl 07565109) Full Text: DOI arXiv OpenURL
Brüdern, Jörg; Vaughan, Robert C. Sums of two unlike powers in arithmetic progressions. (English) Zbl 07561823 Eur. J. Math. 8, Suppl. 1, 182-213 (2022). MSC: 11B25 11P55 11N37 PDF BibTeX XML Cite \textit{J. Brüdern} and \textit{R. C. Vaughan}, Eur. J. Math. 8, 182--213 (2022; Zbl 07561823) Full Text: DOI OpenURL
Iksanov, Alexander; Marynych, Alexander; Raschel, Kilian Asymptotics of arithmetic functions of GCD and LCM of random integers in hyperbolic regions. (English) Zbl 1503.11128 Result. Math. 77, No. 4, Paper No. 165, 22 p. (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11A05 60F05 11A25 PDF BibTeX XML Cite \textit{A. Iksanov} et al., Result. Math. 77, No. 4, Paper No. 165, 22 p. (2022; Zbl 1503.11128) Full Text: DOI arXiv OpenURL
Sui, Yankun; Liu, Dan On the average number of subgroups of the group \(\mathbb{Z}_m \times \mathbb{Z}_n\) with \(k\)-th power sequence. (English) Zbl 07557867 Ramanujan J. 58, No. 4, 1333-1351 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11N45 20K01 20K27 PDF BibTeX XML Cite \textit{Y. Sui} and \textit{D. Liu}, Ramanujan J. 58, No. 4, 1333--1351 (2022; Zbl 07557867) Full Text: DOI OpenURL
Nicolas, Jean-Louis The sum of divisors function and the Riemann hypothesis. (English) Zbl 1497.11243 Ramanujan J. 58, No. 4, 1113-1157 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N56 11M26 11N37 PDF BibTeX XML Cite \textit{J.-L. Nicolas}, Ramanujan J. 58, No. 4, 1113--1157 (2022; Zbl 1497.11243) Full Text: DOI OpenURL
Kim, Sungjin On the reciprocal sum of lcm of \(k\)-tuples. (English) Zbl 1497.11238 Res. Number Theory 8, No. 3, Paper No. 44, 26 p. (2022). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N37 11A25 PDF BibTeX XML Cite \textit{S. Kim}, Res. Number Theory 8, No. 3, Paper No. 44, 26 p. (2022; Zbl 1497.11238) Full Text: DOI arXiv OpenURL
Mond, Adva; Portier, Julien Ternary Egyptian fractions with prime denominator. (English) Zbl 1493.11075 Res. Number Theory 8, No. 3, Paper No. 41, 6 p. (2022). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11D68 11N37 PDF BibTeX XML Cite \textit{A. Mond} and \textit{J. Portier}, Res. Number Theory 8, No. 3, Paper No. 41, 6 p. (2022; Zbl 1493.11075) Full Text: DOI arXiv OpenURL
Sawin, Will; Shusterman, Mark Möbius cancellation on polynomial sequences and the quadratic Bateman-Horn conjecture over function fields. (English) Zbl 1503.11077 Invent. Math. 229, No. 2, 751-927 (2022). Reviewer: B. Z. Moroz (Bonn) MSC: 11E12 11G35 11L40 11N32 11N37 11P32 11R58 14F20 14G25 14G40 14J20 PDF BibTeX XML Cite \textit{W. Sawin} and \textit{M. Shusterman}, Invent. Math. 229, No. 2, 751--927 (2022; Zbl 1503.11077) Full Text: DOI arXiv OpenURL
Ding, Yuchen On the numbers \(n\) relatively prime to \(\Omega (n)-\omega(n)\). (English) Zbl 1495.11115 Proc. Am. Math. Soc. 150, No. 9, 3811-3819 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11A25 11A05 PDF BibTeX XML Cite \textit{Y. Ding}, Proc. Am. Math. Soc. 150, No. 9, 3811--3819 (2022; Zbl 1495.11115) Full Text: DOI OpenURL
Lemańczyk, Mariusz Ergodicity, mixing, Ratner’s properties and disjointness for classical flows: on the research of Corinna Ulcigrai. (English) Zbl 1504.37007 J. Mod. Dyn. 18, 103-130 (2022). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37A10 37A17 37A25 37A30 37A44 37E35 37D40 22F10 11N37 PDF BibTeX XML Cite \textit{M. Lemańczyk}, J. Mod. Dyn. 18, 103--130 (2022; Zbl 1504.37007) Full Text: DOI OpenURL
Carneiro, Emanuel; Chirre, Andrés; Helfgott, Harald Andrés; Mejía-Cordero, Julián Optimality for the two-parameter quadratic sieve. (English) Zbl 1501.11092 Acta Arith. 203, No. 3, 195-226 (2022). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N35 11N37 PDF BibTeX XML Cite \textit{E. Carneiro} et al., Acta Arith. 203, No. 3, 195--226 (2022; Zbl 1501.11092) Full Text: DOI arXiv OpenURL
Lichtman, Jared Duker Averages of the Möbius function on shifted primes. (English) Zbl 1502.11101 Q. J. Math. 73, No. 2, 729-757 (2022). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N37 11N35 PDF BibTeX XML Cite \textit{J. D. Lichtman}, Q. J. Math. 73, No. 2, 729--757 (2022; Zbl 1502.11101) Full Text: DOI arXiv OpenURL
Wang, Dan Averages of shifted convolutions of general divisor sums involving Hecke eigenvalues. (English) Zbl 1489.11139 Indian J. Pure Appl. Math. 53, No. 2, 443-453 (2022). MSC: 11M41 11F30 11F37 11N37 PDF BibTeX XML Cite \textit{D. Wang}, Indian J. Pure Appl. Math. 53, No. 2, 443--453 (2022; Zbl 1489.11139) Full Text: DOI OpenURL
Luca, Florian; Pomerance, Carl On a nonintegrality conjecture. (English) Zbl 1494.11078 Eur. J. Math. 8, No. 2, 634-639 (2022). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N37 PDF BibTeX XML Cite \textit{F. Luca} and \textit{C. Pomerance}, Eur. J. Math. 8, No. 2, 634--639 (2022; Zbl 1494.11078) Full Text: DOI arXiv OpenURL
Arango-Piñeros, Santiago; Keliher, Daniel; Keyes, Christopher Mertens’ theorem for Chebotarev sets. (English) Zbl 1498.11198 Int. J. Number Theory 18, No. 8, 1823-1842 (2022). Reviewer: David Lowry-Duda (Providence) MSC: 11N37 11M06 PDF BibTeX XML Cite \textit{S. Arango-Piñeros} et al., Int. J. Number Theory 18, No. 8, 1823--1842 (2022; Zbl 1498.11198) Full Text: DOI arXiv OpenURL
Cao, Xiaodong; Tanigawa, Yoshio; Zhai, Wenguang On hybrid moments of \(\Delta_2 (x)\) and \(\Delta_3 (x)\). (English) Zbl 1503.11126 Ramanujan J. 58, No. 2, 597-631 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 PDF BibTeX XML Cite \textit{X. Cao} et al., Ramanujan J. 58, No. 2, 597--631 (2022; Zbl 1503.11126) Full Text: DOI OpenURL