Chen, Long; Hong, Shaofang Divisibility among determinants of power matrices associated with integer-valued arithmetic functions. (English) Zbl 1489.15014 AIMS Math. 5, No. 3, 1946-1959 (2020). MSC: 15A15 15B36 11C20 11A25 11N64 PDFBibTeX XMLCite \textit{L. Chen} and \textit{S. Hong}, AIMS Math. 5, No. 3, 1946--1959 (2020; Zbl 1489.15014) Full Text: DOI
Hwang, Jihyun; Li, Yan; Kim, Daeyeoul Arithmetic properties derived from coefficients of certain eta quotients. (English) Zbl 1503.11010 J. Inequal. Appl. 2020, Paper No. 104, 23 p. (2020). MSC: 11A25 11E25 11F27 11F20 PDFBibTeX XMLCite \textit{J. Hwang} et al., J. Inequal. Appl. 2020, Paper No. 104, 23 p. (2020; Zbl 1503.11010) Full Text: DOI
Yudelevich, Vitaliĭ Viktorovich On the mean value of functions related to the divisors function in the ring of polynomials over a finite field. (Russian. English summary) Zbl 1470.11315 Chebyshevskiĭ Sb. 21, No. 3(75), 196-214 (2020). MSC: 11T55 11N37 11R58 PDFBibTeX XMLCite \textit{V. V. Yudelevich}, Chebyshevskiĭ Sb. 21, No. 3(75), 196--214 (2020; Zbl 1470.11315) Full Text: arXiv MNR
Chubarikov, V. N. On multiple trigonometric sums related with prime numbers. (English. Russian original) Zbl 1469.11257 Mosc. Univ. Math. Bull. 75, No. 6, 227-238 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 6, 3-13 (2020). MSC: 11L03 33B10 PDFBibTeX XMLCite \textit{V. N. Chubarikov}, Mosc. Univ. Math. Bull. 75, No. 6, 227--238 (2020; Zbl 1469.11257); translation from Vestn. Mosk. Univ., Ser. I 75, No. 6, 3--13 (2020) Full Text: DOI
Andrica, Dorin; Ţurcaş, George C. On two multiplicative functions defined by the number of solutions to \(x_1x_2\cdots x_k=n\). (English) Zbl 1474.11170 Acta Univ. Apulensis, Math. Inform. 64, 1-12 (2020). MSC: 11N99 11N37 11D99 PDFBibTeX XMLCite \textit{D. Andrica} and \textit{G. C. Ţurcaş}, Acta Univ. Apulensis, Math. Inform. 64, 1--12 (2020; Zbl 1474.11170)
Dubbe, Thomas Explicit bound of the divisor function. (English) Zbl 1484.11191 Funct. Approximatio, Comment. Math. 63, No. 1, 133-136 (2020). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N37 11R29 PDFBibTeX XMLCite \textit{T. Dubbe}, Funct. Approximatio, Comment. Math. 63, No. 1, 133--136 (2020; Zbl 1484.11191) Full Text: DOI Euclid
Zhang, Wei Some results on divisor problems related to cusp forms. (English) Zbl 1469.11084 Ramanujan J. 53, No. 1, 75-83 (2020). MSC: 11F30 11F11 11F66 11N37 PDFBibTeX XMLCite \textit{W. Zhang}, Ramanujan J. 53, No. 1, 75--83 (2020; Zbl 1469.11084) Full Text: DOI
Dutta, Parama; Saikia, Manjil P. Deficient perfect numbers with four distinct prime factors. (English) Zbl 1481.11006 Asian-Eur. J. Math. 13, No. 7, Article ID 2050126, 13 p. (2020). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 PDFBibTeX XMLCite \textit{P. Dutta} and \textit{M. P. Saikia}, Asian-Eur. J. Math. 13, No. 7, Article ID 2050126, 13 p. (2020; Zbl 1481.11006) Full Text: DOI arXiv
Cardinal, Jean-Paul; Overholt, Marius A variant of Möbius inversion. (English) Zbl 1469.11009 Exp. Math. 29, No. 3, 247-252 (2020). MSC: 11A25 11C20 11M26 PDFBibTeX XMLCite \textit{J.-P. Cardinal} and \textit{M. Overholt}, Exp. Math. 29, No. 3, 247--252 (2020; Zbl 1469.11009) Full Text: DOI
Pollack, Paul The maximal size of the \(k\)-fold divisor function for very large \(k\). (English) Zbl 1465.11193 J. Ramanujan Math. Soc. 35, No. 4, 341-345 (2020). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11N56 11N37 11N64 PDFBibTeX XMLCite \textit{P. Pollack}, J. Ramanujan Math. Soc. 35, No. 4, 341--345 (2020; Zbl 1465.11193) Full Text: Link
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
Chubarikov, Vladimir Nikolaevich On a mean-value theorem for multiple trigonometric sums. (Russian. English summary) Zbl 1454.11145 Chebyshevskiĭ Sb. 21, No. 1(73), 320-335 (2020). MSC: 11L07 11N37 PDFBibTeX XMLCite \textit{V. N. Chubarikov}, Chebyshevskiĭ Sb. 21, No. 1(73), 320--335 (2020; Zbl 1454.11145) Full Text: MNR
Bath, Daniel Bernstein-Sato varieties and annihilation of powers. (English) Zbl 1460.14048 Trans. Am. Math. Soc. 373, No. 12, 8543-8582 (2020). Reviewer: Alberto Castaño Domínguez (Sevilla) MSC: 14F10 32S40 32S05 32S22 32C38 PDFBibTeX XMLCite \textit{D. Bath}, Trans. Am. Math. Soc. 373, No. 12, 8543--8582 (2020; Zbl 1460.14048) Full Text: DOI arXiv
Liu, D.; Sui, Y. On higher-power moments of \(\Delta(1)(x)\). (English) Zbl 1474.11163 Acta Math. Hung. 162, No. 2, 445-464 (2020). Reviewer: Stelian Mihalas (Timişoara) MSC: 11N37 11M06 PDFBibTeX XMLCite \textit{D. Liu} and \textit{Y. Sui}, Acta Math. Hung. 162, No. 2, 445--464 (2020; Zbl 1474.11163) Full Text: DOI
Tang, Hengcai A note on Titchmarsh divisor problem under the generalized Riemann hypothesis. (English) Zbl 1457.11134 Rocky Mt. J. Math. 50, No. 6, 2223-2233 (2020). MSC: 11N37 11F30 11L20 11M06 PDFBibTeX XMLCite \textit{H. Tang}, Rocky Mt. J. Math. 50, No. 6, 2223--2233 (2020; Zbl 1457.11134) Full Text: DOI Euclid
Sun, Cuifang; Tao, Tiantian On near-imperfect numbers with three distinct prime divisors. (English) Zbl 1463.11010 Adv. Math., Beijing 49, No. 5, 573-595 (2020). MSC: 11A25 PDFBibTeX XMLCite \textit{C. Sun} and \textit{T. Tao}, Adv. Math., Beijing 49, No. 5, 573--595 (2020; Zbl 1463.11010)
Bettin, Sandro; Bui, H. M.; Li, Xiannan; Radziwiłł, Maksym A quadratic divisor problem and moments of the Riemann zeta-function. (English) Zbl 1471.11231 J. Eur. Math. Soc. (JEMS) 22, No. 12, 3953-3980 (2020). Reviewer: Stelian Mihalas (Timişoara) MSC: 11M06 11N37 PDFBibTeX XMLCite \textit{S. Bettin} et al., J. Eur. Math. Soc. (JEMS) 22, No. 12, 3953--3980 (2020; Zbl 1471.11231) Full Text: DOI arXiv
Frolenkov, Dmitry A. Nondiagonal terms in the second moment of automorphic \(L\)-functions. (English. Russian original) Zbl 1457.11056 Sb. Math. 211, No. 8, 1171-1189 (2020); translation from Mat. Sb. 211, No. 8, 114-131 (2020). MSC: 11F66 11F12 PDFBibTeX XMLCite \textit{D. A. Frolenkov}, Sb. Math. 211, No. 8, 1171--1189 (2020; Zbl 1457.11056); translation from Mat. Sb. 211, No. 8, 114--131 (2020) Full Text: DOI
Heyman, Randell A summation involving the divisor and GCD functions. (English) Zbl 1446.11182 J. Integer Seq. 23, No. 9, Article 20.9.8, 6 p. (2020). MSC: 11N56 PDFBibTeX XMLCite \textit{R. Heyman}, J. Integer Seq. 23, No. 9, Article 20.9.8, 6 p. (2020; Zbl 1446.11182) Full Text: Link
Zurita, Rimer Generalized alternating sums of multiplicative arithmetic functions. (English) Zbl 1446.11179 J. Integer Seq. 23, No. 10, Article 20.10.4, 18 p. (2020). MSC: 11N37 11A05 11A25 30B10 PDFBibTeX XMLCite \textit{R. Zurita}, J. Integer Seq. 23, No. 10, Article 20.10.4, 18 p. (2020; Zbl 1446.11179) Full Text: Link
Diamantis, Nikolaos Kernels of \(L\)-functions and shifted convolutions. (English) Zbl 1471.11165 Proc. Am. Math. Soc. 148, No. 12, 5059-5070 (2020). Reviewer: Solomon Friedberg (Chestnut Hill) MSC: 11F67 11F68 PDFBibTeX XMLCite \textit{N. Diamantis}, Proc. Am. Math. Soc. 148, No. 12, 5059--5070 (2020; Zbl 1471.11165) Full Text: DOI arXiv
Haukkanen, Pentti Rational arithmetical functions related to certain unitary analogs of GCD type matrices. (English) Zbl 1476.11011 East-West J. Math. 22, No. 1, 64-75 (2020). Reviewer: Carlos M. da Fonseca (Safat) MSC: 11A25 11C20 15B36 PDFBibTeX XMLCite \textit{P. Haukkanen}, East-West J. Math. 22, No. 1, 64--75 (2020; Zbl 1476.11011) Full Text: Link
Holdener, C. A.; Holdener, J. A. Characterizing quasi-friendly divisors. (English) Zbl 1468.11014 J. Integer Seq. 23, No. 8, Article 20.8.4, 13 p. (2020). MSC: 11A25 PDFBibTeX XMLCite \textit{C. A. Holdener} and \textit{J. A. Holdener}, J. Integer Seq. 23, No. 8, Article 20.8.4, 13 p. (2020; Zbl 1468.11014) Full Text: Link
Ivić, Aleksandar; Zhai, Wenguang On certain integrals involving the Dirichlet divisor problem. (English) Zbl 1505.11122 Funct. Approximatio, Comment. Math. 62, No. 2, 247-267 (2020). MSC: 11N36 11M06 PDFBibTeX XMLCite \textit{A. Ivić} and \textit{W. Zhai}, Funct. Approximatio, Comment. Math. 62, No. 2, 247--267 (2020; Zbl 1505.11122) Full Text: DOI arXiv Euclid
Gao, Peng Mean values of divisors twisted by quadratic characters. (English) Zbl 1472.11253 Acta Arith. 195, No. 1, 69-82 (2020). Reviewer: Marco Aymone (Belo Horizonte) MSC: 11N37 11L40 PDFBibTeX XMLCite \textit{P. Gao}, Acta Arith. 195, No. 1, 69--82 (2020; Zbl 1472.11253) Full Text: DOI arXiv
Bareikis, Gintautas; Mačiulis, Algirdas Modeling the Dirichlet distribution using multiplicative functions. (English) Zbl 1442.62035 Nonlinear Anal., Model. Control 25, No. 2, 282-300 (2020). MSC: 62E15 62E20 60E05 11Z05 PDFBibTeX XMLCite \textit{G. Bareikis} and \textit{A. Mačiulis}, Nonlinear Anal., Model. Control 25, No. 2, 282--300 (2020; Zbl 1442.62035) Full Text: DOI
Karras, Meselem; Derbal, Abdallah Mean value of an arithmetic function associated with the Piltz divisor function. (English) Zbl 1448.11173 Asian-Eur. J. Math. 13, No. 3, Article ID 2050062, 7 p. (2020). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N37 11A25 PDFBibTeX XMLCite \textit{M. Karras} and \textit{A. Derbal}, Asian-Eur. J. Math. 13, No. 3, Article ID 2050062, 7 p. (2020; Zbl 1448.11173) Full Text: DOI
Fedorov, Gleb V. On \(S\)-units for valuations of the second degree in hyperelliptic fields. (English. Russian original) Zbl 1457.11159 Izv. Math. 84, No. 2, 392-435 (2020); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 2, 197-242 (2020). MSC: 11R58 11J70 11R27 PDFBibTeX XMLCite \textit{G. V. Fedorov}, Izv. Math. 84, No. 2, 392--435 (2020; Zbl 1457.11159); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 2, 197--242 (2020) Full Text: DOI
Roditty-Gershon, Edva; Hall, Chris; Keating, Jonathan P. Variance of sums in arithmetic progressions of divisor functions associated with higher degree \(L\)-functions in \(\mathbb{F}_q[t]\). (English) Zbl 1468.11204 Int. J. Number Theory 16, No. 5, 1013-1030 (2020). MSC: 11N37 11R59 11M50 PDFBibTeX XMLCite \textit{E. Roditty-Gershon} et al., Int. J. Number Theory 16, No. 5, 1013--1030 (2020; Zbl 1468.11204) Full Text: DOI arXiv
Dixit, Atul; Maji, Bibekananda Partition implications of a three-parameter \(q\)-series identity. (English) Zbl 1445.11114 Ramanujan J. 52, No. 2, 323-358 (2020). Reviewer: Dazhao Tang (Chongqing) MSC: 11P81 11P84 05A17 PDFBibTeX XMLCite \textit{A. Dixit} and \textit{B. Maji}, Ramanujan J. 52, No. 2, 323--358 (2020; Zbl 1445.11114) Full Text: DOI arXiv
Tang, Hengcai A shift convolution sum of \(d_3\) and the Fourier coefficients of Hecke-Maass forms. II. (English) Zbl 1440.11068 Bull. Aust. Math. Soc. 101, No. 3, 401-414 (2020). Reviewer: Ilker Inam (Bilecik) MSC: 11F30 11F37 11F66 PDFBibTeX XMLCite \textit{H. Tang}, Bull. Aust. Math. Soc. 101, No. 3, 401--414 (2020; Zbl 1440.11068) Full Text: DOI
Kiuchi, Isao; Eddin, Sumaia Saad Sums of logarithmic averages of gcd-sum functions. (English) Zbl 1472.11256 Result. Math. 75, No. 2, Paper No. 53, 22 p. (2020). MSC: 11N37 11A25 11Y60 PDFBibTeX XMLCite \textit{I. Kiuchi} and \textit{S. S. Eddin}, Result. Math. 75, No. 2, Paper No. 53, 22 p. (2020; Zbl 1472.11256) Full Text: DOI arXiv
Zhai, Wenguang On a sum involving the Euler function. (English) Zbl 1437.11119 J. Number Theory 211, 199-219 (2020); corrigendum ibid. 222, 423-425 (2021). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L05 11N37 PDFBibTeX XMLCite \textit{W. Zhai}, J. Number Theory 211, 199--219 (2020; Zbl 1437.11119) Full Text: DOI
Cho, Bumkyu Convolution sums of a divisor function for prime levels. (English) Zbl 1445.11026 Int. J. Number Theory 16, No. 3, 537-546 (2020). Reviewer: Emmanuel Royer (Aubière) MSC: 11F11 11F25 11F20 11F03 11A25 PDFBibTeX XMLCite \textit{B. Cho}, Int. J. Number Theory 16, No. 3, 537--546 (2020; Zbl 1445.11026) Full Text: DOI
Korolev, Maxim; Shparlinski, Igor Sums of algebraic trace functions twisted by arithmetic functions. (English) Zbl 1469.11267 Pac. J. Math. 304, No. 2, 505-522 (2020). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11L05 11N25 11T23 PDFBibTeX XMLCite \textit{M. Korolev} and \textit{I. Shparlinski}, Pac. J. Math. 304, No. 2, 505--522 (2020; Zbl 1469.11267) Full Text: DOI arXiv
Lü, Guangshi On pairwise maxima of powers of Hecke eigenvalues. (English) Zbl 1468.11200 Acta Arith. 192, No. 3, 249-257 (2020). MSC: 11N37 11F30 PDFBibTeX XMLCite \textit{G. Lü}, Acta Arith. 192, No. 3, 249--257 (2020; Zbl 1468.11200) Full Text: DOI
de la Bretèche, R.; Fiorilli, D. Major arcs and moments of arithmetical sequences. (English) Zbl 1472.11251 Am. J. Math. 142, No. 1, 45-77 (2020). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N37 11K65 11P55 PDFBibTeX XMLCite \textit{R. de la Bretèche} and \textit{D. Fiorilli}, Am. J. Math. 142, No. 1, 45--77 (2020; Zbl 1472.11251) Full Text: DOI arXiv
Kerr, Bryce; Shparlinski, Igor E. Bilinear sums of Kloosterman sums, multiplicative congruences and average values of the divisor function over families of arithmetic progressions. (English) Zbl 1471.11251 Res. Number Theory 6, No. 1, Paper No. 16, 21 p. (2020). MSC: 11N37 11L07 PDFBibTeX XMLCite \textit{B. Kerr} and \textit{I. E. Shparlinski}, Res. Number Theory 6, No. 1, Paper No. 16, 21 p. (2020; Zbl 1471.11251) Full Text: DOI arXiv
Hilberdink, Titus; Luca, Florian; Tóth, László On certain sums concerning the gcd’s and lcm’s of \(k\) positive integers. (English) Zbl 1452.11007 Int. J. Number Theory 16, No. 1, 77-90 (2020). Reviewer: István Mező (Nanjing) MSC: 11A25 11N37 PDFBibTeX XMLCite \textit{T. Hilberdink} et al., Int. J. Number Theory 16, No. 1, 77--90 (2020; Zbl 1452.11007) 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