Langlois, Bruno About the functional equation \(f(m^2+Dmn+n^2)=f(m)^2+Df(m)f(n)+f(n)^2\). (A propos de l’equation fonctionnelle \(f(m^2+Dmn+n^2)=f(m)^2+Df(m)f(n)+f(n)^2\).) (French) Zbl 07751575 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 55, 209-221 (2023). MSC: 11A25 11N25 11N64 PDFBibTeX XMLCite \textit{B. Langlois}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 55, 209--221 (2023; Zbl 07751575) Full Text: Link
Khanh, Bui Minh Mai Correction to my paper ’Characterization of the identity function with an equation function’. (English) Zbl 07751564 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 54, 363 (2023). MSC: 11A07 11A25 11N25 11N64 PDFBibTeX XMLCite \textit{B. M. M. Khanh}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 54, 363 (2023; Zbl 07751564) Full Text: Link
Stakénas, Vilius The ring of arithmetical functions in the rational domain. (English) Zbl 07751560 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 54, 295-306 (2023). MSC: 11N37 11N64 PDFBibTeX XMLCite \textit{V. Stakénas}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 54, 295--306 (2023; Zbl 07751560) Full Text: Link
Kaya, Erdener On some results of Indlekofer for multiplicative functions. II. (English) Zbl 07751553 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 54, 199-209 (2023). MSC: 11A25 11K65 PDFBibTeX XMLCite \textit{E. Kaya}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 54, 199--209 (2023; Zbl 07751553) Full Text: Link
Kiuchi, Isao On a sum involving squarefull numbers. II. (English) Zbl 07743994 Mosc. J. Comb. Number Theory 12, No. 3, 241-246 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11A25 11P99 PDFBibTeX XMLCite \textit{I. Kiuchi}, Mosc. J. Comb. Number Theory 12, No. 3, 241--246 (2023; Zbl 07743994) Full Text: DOI
Chandran, Arya; Namboothiri, K. Vishnu On a Ramanujan type expansion of arithmetical functions. (English) Zbl 1523.11005 Ramanujan J. 62, No. 1, 177-188 (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11A25 11L03 PDFBibTeX XMLCite \textit{A. Chandran} and \textit{K. V. Namboothiri}, Ramanujan J. 62, No. 1, 177--188 (2023; Zbl 1523.11005) Full Text: DOI arXiv
Bouderbala, Mihoub On the average order of the \(gcd\)-sum function over the set of square integers. (English) Zbl 1524.11010 Math. Montisnigri 56, 35-41 (2023). MSC: 11A25 11N37 PDFBibTeX XMLCite \textit{M. Bouderbala}, Math. Montisnigri 56, 35--41 (2023; Zbl 1524.11010) Full Text: DOI
Kátai, Imre; Phong, Bui M. Completely multiplicative functions with special properties. (English) Zbl 07692697 Math. Pannonica (N.S.) 29, No. 1, 68-76 (2023). Reviewer: Pieter Moree (Bonn) MSC: 11K65 11N37 11N64 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{B. M. Phong}, Math. Pannonica (N.S.) 29, No. 1, 68--76 (2023; Zbl 07692697) Full Text: DOI
de la Bretèche, Régis; Tenenbaum, Gérald On the gap distribution of prime factors. (English) Zbl 1525.11101 Proc. Am. Math. Soc. 151, No. 8, 3245-3251 (2023). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11N25 11N35 PDFBibTeX XMLCite \textit{R. de la Bretèche} and \textit{G. Tenenbaum}, Proc. Am. Math. Soc. 151, No. 8, 3245--3251 (2023; Zbl 1525.11101) Full Text: DOI arXiv
Inoue, Shōta; Kiuchi, Isao On sums of gcd-sum functions. (English) Zbl 1512.11006 Int. J. Number Theory 19, No. 3, 593-619 (2023). Reviewer: Olivier Bordellès (Aiguilhe) MSC: 11A25 11N37 11P99 PDFBibTeX XMLCite \textit{S. Inoue} and \textit{I. Kiuchi}, Int. J. Number Theory 19, No. 3, 593--619 (2023; Zbl 1512.11006) Full Text: DOI
Kucukoglu, Irem; Milovanović, Gradimir V.; Simsek, Yilmaz Analysis of generating functions for special words and numbers and algorithms for computation. (English) Zbl 07648632 Mediterr. J. Math. 19, No. 6, Paper No. 268, 22 p. (2022). MSC: 03D40 05A05 05A15 11-XX 65Q20 68R15 PDFBibTeX XMLCite \textit{I. Kucukoglu} et al., Mediterr. J. Math. 19, No. 6, Paper No. 268, 22 p. (2022; Zbl 07648632) Full Text: DOI
Kátai, Imre; Phong, Bui Minh In memoriam for Professor Eduard Wirsing. (English) Zbl 1513.11003 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 53, 123-125 (2022). MSC: 11A07 11A25 11N25 11N64 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{B. M. Phong}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 53, 123--125 (2022; Zbl 1513.11003) Full Text: Link
Kiuchi, Isao On a sum involving squarefull numbers. (English) Zbl 1508.11097 Rocky Mt. J. Math. 52, No. 5, 1713-1718 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11A25 PDFBibTeX XMLCite \textit{I. Kiuchi}, Rocky Mt. J. Math. 52, No. 5, 1713--1718 (2022; Zbl 1508.11097) Full Text: DOI Link
Kiuchi, Isao On sums of sums involving cube-full numbers. (English) Zbl 1519.11051 Ramanujan J. 59, No. 1, 279-296 (2022). Reviewer: S. Drappeau (Marseille) MSC: 11N37 PDFBibTeX XMLCite \textit{I. Kiuchi}, Ramanujan J. 59, No. 1, 279--296 (2022; Zbl 1519.11051) Full Text: DOI
Iwata, Hideto On the solution of the Volterra integral equation of second type for the error term in an asymptotic formula for arithmetical functions. (English) Zbl 1503.11129 Adv. Stud.: Euro-Tbil. Math. J. 15, No. 1, 83-92 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 45D05 PDFBibTeX XMLCite \textit{H. Iwata}, Adv. Stud.: Euro-Tbil. Math. J. 15, No. 1, 83--92 (2022; Zbl 1503.11129) Full Text: DOI arXiv
Igawa, Tadaaki; Minamide, T. Makoto; Nakano, Miyu The Pillai-Chowla method for an error in the mean square of \(\delta_k(n)\). (English) Zbl 1513.11165 Nepali Math. Sci. Rep. 38, No. 1, 39-50 (2021). MSC: 11N37 11A25 PDFBibTeX XMLCite \textit{T. Igawa} et al., Nepali Math. Sci. Rep. 38, No. 1, 39--50 (2021; Zbl 1513.11165)
Kiuchi, Isao On sums of sums involving squarefull numbers. (English) Zbl 1497.11239 Acta Arith. 200, No. 2, 197-211 (2021). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N37 11A25 PDFBibTeX XMLCite \textit{I. Kiuchi}, Acta Arith. 200, No. 2, 197--211 (2021; Zbl 1497.11239) Full Text: DOI
Furuya, Jun; Minamide, T. Makoto; Nakano, Miyu A note on the mean square of the greatest divisor of \(n\) which is coprime to a fixed integer \(k\). (English) Zbl 1483.11211 Indian J. Pure Appl. Math. 52, No. 4, 990-1003 (2021). MSC: 11N37 PDFBibTeX XMLCite \textit{J. Furuya} et al., Indian J. Pure Appl. Math. 52, No. 4, 990--1003 (2021; Zbl 1483.11211) Full Text: DOI
Révész, Szilárd Gy. A Riemann-von Mangoldt-type formula for the distribution of Beurling primes. (English) Zbl 1499.11296 Math. Pannonica (N.S.) 27, No. 2, 204-232 (2021). Reviewer: Stelian Mihalas (Timişoara) MSC: 11N80 11M41 PDFBibTeX XMLCite \textit{S. Gy. Révész}, Math. Pannonica (N.S.) 27, No. 2, 204--232 (2021; Zbl 1499.11296) Full Text: DOI arXiv
Kátai, Imre; Phong, Bui Minh Arithmetical functions commutable with sums of squares. II. (English) Zbl 1499.11253 Math. Pannonica (N.S.) 27, No. 2, 179-190 (2021). Reviewer: Florian Luca (Johannesburg) MSC: 11K65 11N37 11N64 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{B. M. Phong}, Math. Pannonica (N.S.) 27, No. 2, 179--190 (2021; Zbl 1499.11253) Full Text: DOI
Phong, Bui Minh; Szeidl, Rita Betti On the equation \(f(n^2+nm+m^2)=f(n)^2+f(n)f(m)+f(m)^2\). (English) Zbl 1488.11010 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 52, 255-278 (2021). MSC: 11A25 11N64 PDFBibTeX XMLCite \textit{B. M. Phong} and \textit{R. B. Szeidl}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 52, 255--278 (2021; Zbl 1488.11010) Full Text: Link
Khanh, Bui Minh Mai On the equation \(f(n^2+Dm^2+k)=f(n)^2+Df(m)^2+k\). (English) Zbl 1488.11008 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 52, 217-241 (2021). MSC: 11A25 11N64 PDFBibTeX XMLCite \textit{B. M. M. Khanh}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 52, 217--241 (2021; Zbl 1488.11008) Full Text: Link
Khanh, Bui Minh Mai Characterization of the identity function with an equation function. (English) Zbl 1488.11007 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 52, 195-216 (2021); correction ibid. 54, 363 (2023). MSC: 11A25 11N64 PDFBibTeX XMLCite \textit{B. M. M. Khanh}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 52, 195--216 (2021; Zbl 1488.11007) Full Text: Link
Kátai, Imre; Phong, Bui Minh A characterization of functions using Lagrange’s four-square theorem. (English) Zbl 1488.11119 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 52, 177-185 (2021). MSC: 11K65 11N37 11N64 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{B. M. Phong}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 52, 177--185 (2021; Zbl 1488.11119) Full Text: Link
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
Matsumoto, Kohji A survey on the theory of multiple Dirichlet series with arithmetical coefficients as numerators. (English) Zbl 1484.11180 Lith. Math. J. 61, No. 3, 391-400 (2021). MSC: 11M32 11M26 11M41 PDFBibTeX XMLCite \textit{K. Matsumoto}, Lith. Math. J. 61, No. 3, 391--400 (2021; Zbl 1484.11180) Full Text: DOI arXiv
Hasanalizade, Elchin On the equation \(\varphi (n+k)=2 \varphi(n)\). (English) Zbl 1480.11009 Integers 21, Paper A68, 5 p. (2021). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 11A41 PDFBibTeX XMLCite \textit{E. Hasanalizade}, Integers 21, Paper A68, 5 p. (2021; Zbl 1480.11009) Full Text: Link
Burnett, Joseph Vade; Osterman, Otto Vaughn A generalization of regular convolutions and Ramanujan sums. (English) Zbl 1472.11032 Ramanujan J. 55, No. 2, 437-445 (2021). Reviewer: Giovanni Coppola (Napoli) MSC: 11A25 11N64 PDFBibTeX XMLCite \textit{J. V. Burnett} and \textit{O. V. Osterman}, Ramanujan J. 55, No. 2, 437--445 (2021; Zbl 1472.11032) Full Text: DOI
Kucukoglu, Irem Some relationships between the numbers of Lyndon words and a certain class of combinatorial numbers containing powers of binomial coefficients. (English) Zbl 1513.68041 Adv. Stud. Contemp. Math., Kyungshang 30, No. 4, 527-536 (2020). MSC: 68R15 05A15 11A25 11B83 PDFBibTeX XMLCite \textit{I. Kucukoglu}, Adv. Stud. Contemp. Math., Kyungshang 30, No. 4, 527--536 (2020; Zbl 1513.68041) Full Text: DOI
Feng, J.-W.; Kanemitsu, S.; Kuzumaki, T. Arithmetical Fourier transforms and Hilbert space: restoration of the lost legacy. (English) Zbl 1471.42010 Hardy-Ramanujan J. 43, 56-68 (2020). MSC: 42A38 42A16 11A25 01A55 42-02 PDFBibTeX XMLCite \textit{J. W. Feng} et al., Hardy-Ramanujan J. 43, 56--68 (2020; Zbl 1471.42010) Full Text: Link
Wang, Yujie; Ji, Chungang A generalization of Arai-Carlitz’s identity. (English) Zbl 1468.11219 Ramanujan J. 53, No. 3, 585-594 (2020). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11R04 11A25 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{C. Ji}, Ramanujan J. 53, No. 3, 585--594 (2020; Zbl 1468.11219) Full Text: DOI
De Koninck, Jean-Marie; Kátai, Imre; Phong, Bui Minh Characterising some triplets of completely multiplicative functions. (English) Zbl 1474.11007 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 50, 101-112 (2020). MSC: 11A25 11N25 11N64 PDFBibTeX XMLCite \textit{J.-M. De Koninck} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 50, 101--112 (2020; Zbl 1474.11007) Full Text: Link
Ji, Ch.; Wang, Y. Another regular Menon-type identity in residually finite Dedekind domains. (English) Zbl 1474.11009 Acta Math. Hung. 162, No. 1, 117-129 (2020). Reviewer: Stelian Mihalas (Timişoara) MSC: 11A25 11B13 PDFBibTeX XMLCite \textit{Ch. Ji} and \textit{Y. Wang}, Acta Math. Hung. 162, No. 1, 117--129 (2020; Zbl 1474.11009) Full Text: DOI
Shen, Huijin An arithmetical function and related identity. (Chinese. English summary) Zbl 1463.11009 J. Zhejiang Univ., Sci. Ed. 47, No. 3, 297-300 (2020). MSC: 11A25 05A19 PDFBibTeX XMLCite \textit{H. Shen}, J. Zhejiang Univ., Sci. Ed. 47, No. 3, 297--300 (2020; Zbl 1463.11009) Full Text: DOI
Awel, Abdu; Küçükaslan, M. A note on statistical limit and cluster points of the arithmetical functions \((a_p(n))\), \((\gamma(n))\) and \((\tau(n))\). (English) Zbl 1464.40001 J. Indones. Math. Soc. 26, No. 2, 224-233 (2020). MSC: 40A35 11B05 PDFBibTeX XMLCite \textit{A. Awel} and \textit{M. Küçükaslan}, J. Indones. Math. Soc. 26, No. 2, 224--233 (2020; Zbl 1464.40001) Full Text: DOI
Tóth, László Menon-type identities concerning additive characters. (English) Zbl 1454.11013 Arab. J. Math. 9, No. 3, 697-705 (2020). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 11A07 11L03 PDFBibTeX XMLCite \textit{L. Tóth}, Arab. J. Math. 9, No. 3, 697--705 (2020; Zbl 1454.11013) Full Text: DOI arXiv
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
Wang, Yujie; Ji, Chungang Another generalization of Menon’s identity in the ring of algebraic integers. (English) Zbl 1461.11140 Colloq. Math. 160, No. 2, 213-221 (2020). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R04 11A25 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{C. Ji}, Colloq. Math. 160, No. 2, 213--221 (2020; Zbl 1461.11140) Full Text: DOI
Indlekofer, K.-H.; Kaya, E. Remarks on the number theory over additive arithmetical semigroups. (English) Zbl 1443.11202 Ukr. Math. J. 72, No. 3, 422-445 (2020) and Ukr. Mat. Zh. 72, No. 3, 371-390 (2020). MSC: 11N80 11N37 11N45 11K65 PDFBibTeX XMLCite \textit{K. H. Indlekofer} and \textit{E. Kaya}, Ukr. Math. J. 72, No. 3, 422--445 (2020; Zbl 1443.11202) Full Text: DOI
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
Mahanta, Pankaj Jyoti; Saikia, Manjil P.; Yaqubi, Daniel Some properties of Zumkeller numbers and \(k\)-layered numbers. (English) Zbl 1472.11037 J. Number Theory 217, 218-236 (2020). MSC: 11A25 11B75 PDFBibTeX XMLCite \textit{P. J. Mahanta} et al., J. Number Theory 217, 218--236 (2020; Zbl 1472.11037) Full Text: DOI arXiv
Muth, Philipp; Steuding, Jörn Joint value-distribution of Dirichlet series associated with periodic arithmetical functions. (English) Zbl 1462.11065 Funct. Approximatio, Comment. Math. 62, No. 1, 63-79 (2020). Reviewer: Stelian Mihalas (Timişoara) MSC: 11M06 PDFBibTeX XMLCite \textit{P. Muth} and \textit{J. Steuding}, Funct. Approximatio, Comment. Math. 62, No. 1, 63--79 (2020; Zbl 1462.11065) Full Text: DOI Euclid
Haukkanen, Pentti On the Kesava Menon norm of semimultiplicative functions. (English) Zbl 1446.11008 Aequationes Math. 94, No. 1, 71-81 (2020). Reviewer: Mahadi Ddamulira (Saarbrücken) MSC: 11A25 PDFBibTeX XMLCite \textit{P. Haukkanen}, Aequationes Math. 94, No. 1, 71--81 (2020; Zbl 1446.11008) Full Text: DOI
Wang, Yujie; Ji, Chungang Ramanujan’s sum in the ring of integers of an algebraic number field. (English) Zbl 1507.11097 Int. J. Number Theory 16, No. 1, 65-76 (2020). MSC: 11R04 11A25 11L03 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{C. Ji}, Int. J. Number Theory 16, No. 1, 65--76 (2020; Zbl 1507.11097) Full Text: DOI
Gritsenko, Sergeĭ Aleksandrovich; Deza, Elena Ivanovna; Varukhina, Lidiya Vladimirovna On behavior of arithmetical functions, related to Chebyshev function. (Russian. English summary) Zbl 1434.11176 Chebyshevskiĭ Sb. 20, No. 3(71), 154-164 (2019). MSC: 11M06 11N37 PDFBibTeX XMLCite \textit{S. A. Gritsenko} et al., Chebyshevskiĭ Sb. 20, No. 3(71), 154--164 (2019; Zbl 1434.11176) Full Text: MNR
He, Bing; Zhang, Ruiming Infinite sums for Fibonacci polynomials and Lucas polynomials. (English) Zbl 1465.11061 Ramanujan J. 50, No. 3, 621-637 (2019). Reviewer: Krassimir Atanassov (Sofia) MSC: 11B39 11A25 11F27 PDFBibTeX XMLCite \textit{B. He} and \textit{R. Zhang}, Ramanujan J. 50, No. 3, 621--637 (2019; Zbl 1465.11061) Full Text: DOI
Burnett, Joseph Vade; Osterman, Otto Vaughn; Lewandowski, Reece On a special class of \(A\)-functions. (English) Zbl 1459.11012 New York J. Math. 25, 1405-1420 (2019). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11A25 PDFBibTeX XMLCite \textit{J. V. Burnett} et al., New York J. Math. 25, 1405--1420 (2019; Zbl 1459.11012) Full Text: Link
Aldi, Marco; Tan, Hanqiu Asymptotic expansion of Warlimont functions on Wright semigroups. (English) Zbl 1428.05022 Involve 12, No. 7, 1081-1098 (2019). MSC: 05A16 05C30 11T06 11N37 20M05 PDFBibTeX XMLCite \textit{M. Aldi} and \textit{H. Tan}, Involve 12, No. 7, 1081--1098 (2019; Zbl 1428.05022) Full Text: DOI arXiv
Stakėnas, Vilius The Cantor expansions, rational numbers, arithmetical functions. (English) Zbl 1457.11108 Lith. Math. J. 59, No. 2, 213-228 (2019). MSC: 11K65 11N37 11N60 PDFBibTeX XMLCite \textit{V. Stakėnas}, Lith. Math. J. 59, No. 2, 213--228 (2019; Zbl 1457.11108) Full Text: DOI
Burnett, Joseph Vade; Osterman, Otto Vaughn A generalization of the infinitary divisibility relation: algebraic and analytic properties. (English) Zbl 1442.11010 Int. J. Number Theory 15, No. 9, 1771-1792 (2019). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 11N37 11A51 PDFBibTeX XMLCite \textit{J. V. Burnett} and \textit{O. V. Osterman}, Int. J. Number Theory 15, No. 9, 1771--1792 (2019; Zbl 1442.11010) Full Text: DOI
Bogart, Tristram; Mantilla-Soler, Guillermo An \(\ell-p\) switch trick to obtain a new proof of a criterion for arithmetic equivalence. (English) Zbl 1471.11261 Res. Number Theory 5, No. 1, Paper No. 1, 5 p. (2019). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R04 11R42 PDFBibTeX XMLCite \textit{T. Bogart} and \textit{G. Mantilla-Soler}, Res. Number Theory 5, No. 1, Paper No. 1, 5 p. (2019; Zbl 1471.11261) Full Text: DOI arXiv
Kucukoglu, Irem; Simsek, Yilmaz On interpolation functions for the number of \(k\)-ary Lyndon words associated with the Apostol-Euler numbers and their applications. (English) Zbl 1419.05019 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 1, 281-297 (2019). MSC: 05A15 05A05 11B68 11B83 11M35 11A25 68R15 PDFBibTeX XMLCite \textit{I. Kucukoglu} and \textit{Y. Simsek}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 1, 281--297 (2019; Zbl 1419.05019) Full Text: DOI
Cakalli, Huseyin Corrigendum to: “A variation on arithmetic continuity”. (English) Zbl 1413.40002 Bol. Soc. Parana. Mat. (3) 37, No. 2, 179-181 (2019). MSC: 40A05 26A15 PDFBibTeX XMLCite \textit{H. Cakalli}, Bol. Soc. Parana. Mat. (3) 37, No. 2, 179--181 (2019; Zbl 1413.40002) Full Text: Link
Kucukoglu, Irem; Simsek, Yilmaz Identities and derivative formulas for the combinatorial and Apostol-Euler type numbers by their generating functions. (English) Zbl 1499.05020 Filomat 32, No. 20, 6879-6891 (2018). MSC: 05A10 05A15 11A25 11B37 11B68 11B83 26C99 34A99 33B15 65Q20 PDFBibTeX XMLCite \textit{I. Kucukoglu} and \textit{Y. Simsek}, Filomat 32, No. 20, 6879--6891 (2018; Zbl 1499.05020) Full Text: DOI
Deza, Elena Ivanovna; Varukhina, Lidiya Vladimirovna Problems of the summation of arithmetical sums, relative to Chebyshev function. (Russian. English summary) Zbl 1439.11199 Chebyshevskiĭ Sb. 19, No. 2(66), 319-333 (2018). MSC: 11M06 11N37 PDFBibTeX XMLCite \textit{E. I. Deza} and \textit{L. V. Varukhina}, Chebyshevskiĭ Sb. 19, No. 2(66), 319--333 (2018; Zbl 1439.11199) Full Text: DOI MNR
Sándor, József A note on some congruences involving arithmetic functions. (English) Zbl 1448.11010 Hardy-Ramanujan J. 41, 133-139 (2018). Reviewer: Krassimir Atanassov (Sofia) MSC: 11A25 11A07 11D45 PDFBibTeX XMLCite \textit{J. Sándor}, Hardy-Ramanujan J. 41, 133--139 (2018; Zbl 1448.11010) Full Text: Link
Maruyama, Fumitsuna; Deguchi, Yozo; Toyoizumi, Masao On the cardinality of subsets of the matrix ring over certain residue ring. (English) Zbl 1417.15046 JP J. Algebra Number Theory Appl. 40, No. 6, 1079-1087 (2018). MSC: 15B33 15B36 11A25 11C20 PDFBibTeX XMLCite \textit{F. Maruyama} et al., JP J. Algebra Number Theory Appl. 40, No. 6, 1079--1087 (2018; Zbl 1417.15046) Full Text: DOI
Kucukoglu, Irem; Simsek, Yilmaz Numerical evaluation of special power series including the numbers of Lyndon words: an approach to interpolation functions for Apostol-type numbers and polynomials. (English) Zbl 1477.68253 ETNA, Electron. Trans. Numer. Anal. 50, 98-108 (2018). MSC: 68R15 05A15 11A25 11B68 11B83 11S40 11Y16 65Q30 PDFBibTeX XMLCite \textit{I. Kucukoglu} and \textit{Y. Simsek}, ETNA, Electron. Trans. Numer. Anal. 50, 98--108 (2018; Zbl 1477.68253) Full Text: DOI Link
Shi, San Ying; Weber, Michel On the equation \(n_1n_2 = n_3n_4\) restricted to factor closed sets. (English) Zbl 1404.11030 Acta Math. Sin., Engl. Ser. 34, No. 10, 1517-1530 (2018). MSC: 11D57 11A25 PDFBibTeX XMLCite \textit{S. Y. Shi} and \textit{M. Weber}, Acta Math. Sin., Engl. Ser. 34, No. 10, 1517--1530 (2018; Zbl 1404.11030) Full Text: DOI arXiv
Haukkanen, Pentti; Tóth, László Inertia, positive definiteness and \(\ell_p\) norm of GCD and LCM matrices and their unitary analogs. (English) Zbl 1403.15027 Linear Algebra Appl. 558, 1-24 (2018). Reviewer: Yansheng Wu (Nanjing) MSC: 15B36 11C20 11A25 11N37 PDFBibTeX XMLCite \textit{P. Haukkanen} and \textit{L. Tóth}, Linear Algebra Appl. 558, 1--24 (2018; Zbl 1403.15027) Full Text: DOI arXiv Link
Li, Yan; Kim, Daeyeoul Menon-type identities with additive characters. (English) Zbl 1442.11008 J. Number Theory 192, 373-385 (2018). MSC: 11A07 11A25 PDFBibTeX XMLCite \textit{Y. Li} and \textit{D. Kim}, J. Number Theory 192, 373--385 (2018; Zbl 1442.11008) Full Text: DOI
Kaya, Erdener; Wagner, Robert On some results of indlekofer for multiplicative functions. (English) Zbl 1413.11094 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 48, 17-29 (2018). Reviewer: Florian Luca (Johannesburg) MSC: 11K65 11N37 11N45 11M45 11T55 20M14 40E05 60C05 PDFBibTeX XMLCite \textit{E. Kaya} and \textit{R. Wagner}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 48, 17--29 (2018; Zbl 1413.11094)
Bareikis, Gintautas; Mačiulis, Algirdas Beta distribution on arithmetical semigroups. (English) Zbl 1413.11113 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 47, 147-154 (2018). Reviewer: Ramūnas Garunkštis (Vilnius) MSC: 11N45 11N80 11K65 PDFBibTeX XMLCite \textit{G. Bareikis} and \textit{A. Mačiulis}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 47, 147--154 (2018; Zbl 1413.11113)
Haukkanen, Pentti Derivation of arithmetical functions under the Dirichlet convolution. (English) Zbl 1456.11006 Int. J. Number Theory 14, No. 5, 1257-1264 (2018). Reviewer: Emre Alkan (Istanbul) MSC: 11A25 PDFBibTeX XMLCite \textit{P. Haukkanen}, Int. J. Number Theory 14, No. 5, 1257--1264 (2018; Zbl 1456.11006) Full Text: DOI
Baláž, V.; Gogola, J.; Visnyai, T. \(\mathcal{I}_c^{(q)}\)-convergence of arithmetical functions. (English) Zbl 1432.40004 J. Number Theory 183, 74-83 (2018). MSC: 40A35 11A25 PDFBibTeX XMLCite \textit{V. Baláž} et al., J. Number Theory 183, 74--83 (2018; Zbl 1432.40004) Full Text: DOI
Cakalli, Huseyin A variation on arithmetic continuity. (English) Zbl 1474.40010 Bol. Soc. Parana. Mat. (3) 35, No. 3, 195-202 (2017). MSC: 40A35 40A05 26A15 PDFBibTeX XMLCite \textit{H. Cakalli}, Bol. Soc. Parana. Mat. (3) 35, No. 3, 195--202 (2017; Zbl 1474.40010) Full Text: Link
Zhu, Xiaojie; Yao, Weili Counting problem in multiplicative subsemigroups of positive integers. (Chinese. English summary) Zbl 1399.11162 J. Shanghai Univ., Nat. Sci. 23, No. 5, 722-731 (2017). MSC: 11N37 11N45 PDFBibTeX XMLCite \textit{X. Zhu} and \textit{W. Yao}, J. Shanghai Univ., Nat. Sci. 23, No. 5, 722--731 (2017; Zbl 1399.11162) Full Text: DOI
Apostol, Brăduţ Asymptotic properties of some functions related to regular integers modulo \(n\). (English) Zbl 1399.11007 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 60(108), No. 3, 221-231 (2017). MSC: 11A25 11N37 PDFBibTeX XMLCite \textit{B. Apostol}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 60(108), No. 3, 221--231 (2017; Zbl 1399.11007)
Letaïef, Khaled Ben All associated Stirling numbers are arithmetical triangles. (English) Zbl 1397.11058 Notes Number Theory Discrete Math. 23, No. 3, 27-34 (2017). MSC: 11B73 05A10 11B65 PDFBibTeX XMLCite \textit{K. B. Letaïef}, Notes Number Theory Discrete Math. 23, No. 3, 27--34 (2017; Zbl 1397.11058) Full Text: Link
Kucukoglu, Irem; Bayad, Abdelmejid; Simsek, Yilmaz \(k\)-ary Lyndon words and necklaces arising as rational arguments of Hurwitz-Lerch zeta function and Apostol-Bernoulli polynomials. (English) Zbl 1404.05010 Mediterr. J. Math. 14, No. 6, Paper No. 223, 16 p. (2017). MSC: 05A15 11A25 11B68 11B83 11M35 68R15 PDFBibTeX XMLCite \textit{I. Kucukoglu} et al., Mediterr. J. Math. 14, No. 6, Paper No. 223, 16 p. (2017; Zbl 1404.05010) Full Text: DOI
Fujisawa, Yusuke On some arithmetical functions and the number of pure number fields. (English) Zbl 1425.11162 Colloq. Math. 149, No. 2, 275-290 (2017). MSC: 11N45 11R20 11A25 11R42 PDFBibTeX XMLCite \textit{Y. Fujisawa}, Colloq. Math. 149, No. 2, 275--290 (2017; Zbl 1425.11162) Full Text: DOI
Kiuchi, Isao On sums of averages of generalized Ramanujan sums. (English) Zbl 1425.11160 Tokyo J. Math. 40, No. 1, 255-275 (2017). Reviewer: Emre Alkan (Istanbul) MSC: 11N37 11A25 11B68 PDFBibTeX XMLCite \textit{I. Kiuchi}, Tokyo J. Math. 40, No. 1, 255--275 (2017; Zbl 1425.11160) Full Text: DOI Euclid
Kiuchi, Isao Sums of averages of generalized Ramanujan sums. (English) Zbl 1421.11009 J. Number Theory 180, 310-348 (2017). MSC: 11A25 11N37 11P99 PDFBibTeX XMLCite \textit{I. Kiuchi}, J. Number Theory 180, 310--348 (2017; Zbl 1421.11009) Full Text: DOI
Haukkanen, Pentti An arithmetical equation with respect to regular convolutions. (English) Zbl 1428.11016 Aequationes Math. 91, No. 3, 527-536 (2017). MSC: 11A25 PDFBibTeX XMLCite \textit{P. Haukkanen}, Aequationes Math. 91, No. 3, 527--536 (2017; Zbl 1428.11016) Full Text: DOI Link
Kiuchi, Isao Sums of averages of gcd-sum functions. (English) Zbl 1422.11198 J. Number Theory 176, 449-472 (2017). MSC: 11N37 11A25 11P99 PDFBibTeX XMLCite \textit{I. Kiuchi}, J. Number Theory 176, 449--472 (2017; Zbl 1422.11198) Full Text: DOI
Haffner, Emmylou Strategical use(s) of arithmetic in Richard Dedekind and Heinrich Weber’s Theorie der algebraischen Funktionen einer Veränderlichen. (English) Zbl 1367.01016 Hist. Math. 44, No. 1, 31-69 (2017). Reviewer: Nicola Oswald (Wuppertal) MSC: 01A55 PDFBibTeX XMLCite \textit{E. Haffner}, Hist. Math. 44, No. 1, 31--69 (2017; Zbl 1367.01016) Full Text: DOI
Khoshnoudirad, Daniel Erratum to: “A further study for the upper bound of the cardinality of Farey vertices and applications in discrete geometry”. (English) Zbl 1425.05010 J. Algebra Comb. Discrete Struct. Appl. 3, No. 2, 105-123 (2016). MSC: 05A15 05A16 05A19 05C30 68R01 68R05 68R10 PDFBibTeX XMLCite \textit{D. Khoshnoudirad}, J. Algebra Comb. Discrete Struct. Appl. 3, No. 2, 105--123 (2016; Zbl 1425.05010)
Khanh, Bui Minh Mai Characterization of arithmetical functions with functional equation. (English) Zbl 1389.11008 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 45, 223-237 (2016). MSC: 11A25 11A67 11K65 PDFBibTeX XMLCite \textit{B. M. M. Khanh}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 45, 223--237 (2016; Zbl 1389.11008)
Nigiyan, S. A. On \(\lambda\)-definability of arithmetical functions with indeterminate values of arguments. (English) Zbl 1347.68123 Proc. Yerevan State Univ., Phys. Math. Sci. 2016, No. 2(240), 39-47 (2016). MSC: 68Q01 68Q05 PDFBibTeX XMLCite \textit{S. A. Nigiyan}, Proc. Yerevan State Univ., Phys. Math. Sci. 2016, No. 2(240), 39--47 (2016; Zbl 1347.68123)
Ikeda, Soichi; Kiuchi, Isao; Matsuoka, Kaneaki Sums of products of generalized Ramanujan sums. (English) Zbl 1415.11013 J. Integer Seq. 19, No. 2, Article 16.2.7, 22 p. (2016). MSC: 11A25 11B68 PDFBibTeX XMLCite \textit{S. Ikeda} et al., J. Integer Seq. 19, No. 2, Article 16.2.7, 22 p. (2016; Zbl 1415.11013) Full Text: EMIS
Berman, Joel Maximal \(n\)-generated subdirect products. (English) Zbl 1345.08008 Int. J. Algebra Comput. 26, No. 1, 123-155 (2016). Reviewer: Anna Zamojska-Dzienio (Warsaw) MSC: 08B26 08A30 08A40 08B20 03C05 05A15 PDFBibTeX XMLCite \textit{J. Berman}, Int. J. Algebra Comput. 26, No. 1, 123--155 (2016; Zbl 1345.08008) Full Text: DOI
Platt, D. J.; Trudgian, T. S. On the first sign change of \(\theta(x) -x\). (English) Zbl 1409.11065 Math. Comput. 85, No. 299, 1539-1547 (2016). MSC: 11M26 11Y35 PDFBibTeX XMLCite \textit{D. J. Platt} and \textit{T. S. Trudgian}, Math. Comput. 85, No. 299, 1539--1547 (2016; Zbl 1409.11065) Full Text: DOI arXiv
Weber, Michel J. G. An arithmetical approach to the convergence problem of series of dilated functions and its connection with the Riemann zeta function. (English) Zbl 1381.40004 J. Number Theory 162, 137-179 (2016). Reviewer: Łukasz Pańkowski (Poznań) MSC: 11M06 40A30 PDFBibTeX XMLCite \textit{M. J. G. Weber}, J. Number Theory 162, 137--179 (2016; Zbl 1381.40004) Full Text: DOI arXiv
Yadav, Shikha; Yadav, Surendra Additive analogue of certain arithmetical functions. (English) Zbl 1478.11009 J. Tensor Soc. (N.S.) 9, 53-57 (2015). MSC: 11A25 PDFBibTeX XMLCite \textit{S. Yadav} and \textit{S. Yadav}, J. Tensor Soc. (N.S.) 9, 53--57 (2015; Zbl 1478.11009) Full Text: Link
Chubarikov, V. N. The rate of convergence of the average value of the full rational arithmetic sums. (Russian. English summary) Zbl 1435.11127 Chebyshevskiĭ Sb. 16, No. 4(56), 303-318 (2015). MSC: 11L99 11B68 33B15 PDFBibTeX XMLCite \textit{V. N. Chubarikov}, Chebyshevskiĭ Sb. 16, No. 4(56), 303--318 (2015; Zbl 1435.11127) Full Text: DOI MNR
Chubarikov, V. N. Elementary of the complete rational arithmetical sums. (Russian. English summary) Zbl 1437.11005 Chebyshevskiĭ Sb. 16, No. 3(55), 450-459 (2015). MSC: 11A25 11A15 11B68 PDFBibTeX XMLCite \textit{V. N. Chubarikov}, Chebyshevskiĭ Sb. 16, No. 3(55), 450--459 (2015; Zbl 1437.11005) Full Text: DOI MNR
Gnang, Edinah K.; Radziwiłł, Maksym; Sanna, Carlo Counting arithmetic formulas. (English) Zbl 1401.05023 Eur. J. Comb. 47, 40-53 (2015). MSC: 05A15 39A05 PDFBibTeX XMLCite \textit{E. K. Gnang} et al., Eur. J. Comb. 47, 40--53 (2015; Zbl 1401.05023) Full Text: DOI arXiv
Khoshnoudirad, Daniel A further study for the upper bound of the cardinality of Farey vertices and application in discrete geometry. (English) Zbl 1344.05015 J. Algebra Comb. Discrete Struct. Appl. 2, No. 3, 169-190 (2015). MSC: 05A15 05A16 05A19 05C30 68R01 68R05 68R10 PDFBibTeX XMLCite \textit{D. Khoshnoudirad}, J. Algebra Comb. Discrete Struct. Appl. 2, No. 3, 169--190 (2015; Zbl 1344.05015)
Zhou, Guangya; Huang, Wei The mean value of some composite functions with the \(r\) angular number’s complements sequence. (Chinese. English summary) Zbl 1349.11058 Math. Pract. Theory 45, No. 4, 313-318 (2015). MSC: 11B83 PDFBibTeX XMLCite \textit{G. Zhou} and \textit{W. Huang}, Math. Pract. Theory 45, No. 4, 313--318 (2015; Zbl 1349.11058)
Kátai, Imre; Phong, Bui Minh A consequence of the ternary Goldbach theorem. (English) Zbl 1349.11005 Publ. Math. Debr. 86, No. 3-4, 465-471 (2015). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11A25 11A67 11K65 30D05 11P32 PDFBibTeX XMLCite \textit{I. Kátai} and \textit{B. M. Phong}, Publ. Math. Debr. 86, No. 3--4, 465--471 (2015; Zbl 1349.11005) Full Text: DOI
Fujisawa, Yusuke On sums of generalized Ramanujan sums. (English) Zbl 1385.11053 Indian J. Pure Appl. Math. 46, No. 1, 1-10 (2015). MSC: 11L40 11N37 11N56 PDFBibTeX XMLCite \textit{Y. Fujisawa}, Indian J. Pure Appl. Math. 46, No. 1, 1--10 (2015; Zbl 1385.11053) Full Text: DOI arXiv
Kalinina, I. S.; Marchenkov, S. S. On complexity of problem of satisfiability for systems of countable-valued functional equations. (English. Russian original) Zbl 1337.39006 Russ. Math. 59, No. 8, 19-24 (2015); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 8, 25–32 (2015). Reviewer: Hark-Mahn Kim (Daejeon) MSC: 39B72 39B32 PDFBibTeX XMLCite \textit{I. S. Kalinina} and \textit{S. S. Marchenkov}, Russ. Math. 59, No. 8, 19--24 (2015; Zbl 1337.39006); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 8, 25--32 (2015) Full Text: DOI
Nigiyan, S. A. On non-classical theory of computability. (English) Zbl 1325.03043 Proc. Yerevan State Univ., Phys. Math. Sci. 2015, No. 1(236), 52-60 (2015). MSC: 03D20 PDFBibTeX XMLCite \textit{S. A. Nigiyan}, Proc. Yerevan State Univ., Phys. Math. Sci. 2015, No. 1(236), 52--60 (2015; Zbl 1325.03043) Full Text: MNR
Ih, Su-Ion Integral points on the Chebyshev dynamical systems. (English) Zbl 1392.37105 J. Korean Math. Soc. 52, No. 5, 955-964 (2015). MSC: 37P05 11G50 14G05 14G40 37P30 37P35 PDFBibTeX XMLCite \textit{S.-I. Ih}, J. Korean Math. Soc. 52, No. 5, 955--964 (2015; Zbl 1392.37105) Full Text: DOI Link
Bareikis, Gintautas; Mačiulis, Algirdas On the second moment of an arithmetical process related to the natural divisors. (English) Zbl 1390.11114 Ramanujan J. 37, No. 1, 1-24 (2015). MSC: 11N37 11K65 60F17 PDFBibTeX XMLCite \textit{G. Bareikis} and \textit{A. Mačiulis}, Ramanujan J. 37, No. 1, 1--24 (2015; Zbl 1390.11114) Full Text: DOI
Sándor, József On an arithmetic inequality. (English) Zbl 1340.11008 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 22, No. 1, 257-261 (2014). MSC: 11A25 PDFBibTeX XMLCite \textit{J. Sándor}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 22, No. 1, 257--261 (2014; Zbl 1340.11008)
Hilberdink, Titus Maximal order of a class of multiplicative functions. (English) Zbl 1313.11117 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 43, 217-237 (2014). MSC: 11N56 11N37 PDFBibTeX XMLCite \textit{T. Hilberdink}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 43, 217--237 (2014; Zbl 1313.11117)
Grytczuk, A.; Kurzydło, I. On a conjecture connected with the composition of \(\sigma(n)\) and \(\varphi(n)\). (English) Zbl 1313.11013 Southeast Asian Bull. Math. 38, No. 2, 217-223 (2014). MSC: 11A25 11N37 PDFBibTeX XMLCite \textit{A. Grytczuk} and \textit{I. Kurzydło}, Southeast Asian Bull. Math. 38, No. 2, 217--223 (2014; Zbl 1313.11013)
Mehta, J. On arithmetical functions having constant values in some domain. (English) Zbl 1313.11018 Acta Math. Hung. 142, No. 1, 110-117 (2014). Reviewer: Jürgen Spilker (Freiburg i. Br.) MSC: 11A25 11N64 PDFBibTeX XMLCite \textit{J. Mehta}, Acta Math. Hung. 142, No. 1, 110--117 (2014; Zbl 1313.11018) Full Text: DOI HAL