Lozin, Vadim Ramsey numbers and graph parameters. (English) Zbl 07825077 Graphs Comb. 40, No. 2, Paper No. 29, 13 p. (2024). MSC: 05C55 05D10 05C17 PDFBibTeX XMLCite \textit{V. Lozin}, Graphs Comb. 40, No. 2, Paper No. 29, 13 p. (2024; Zbl 07825077) Full Text: DOI OA License
Gallardo, L. H. On the index of special perfect polynomials. (English) Zbl 07797254 Carpathian Math. Publ. 15, No. 2, 507-513 (2023). MSC: 11T55 11T06 11A07 11A25 PDFBibTeX XMLCite \textit{L. H. Gallardo}, Carpathian Math. Publ. 15, No. 2, 507--513 (2023; Zbl 07797254) Full Text: DOI
Vavilov, N. A. Computers as a novel mathematical reality. III: Mersenne numbers and sums of divisors. (English) Zbl 07786635 Dokl. Math. 107, No. 3, 173-204 (2023). MSC: 11-03 11A25 97F60 PDFBibTeX XMLCite \textit{N. A. Vavilov}, Dokl. Math. 107, No. 3, 173--204 (2023; Zbl 07786635) Full Text: DOI
Hasanalizade, Elchin On near-perfect numbers of special forms. (English) Zbl 07764663 Bull. Aust. Math. Soc. 108, No. 3, 366-372 (2023). MSC: 11A25 11B39 PDFBibTeX XMLCite \textit{E. Hasanalizade}, Bull. Aust. Math. Soc. 108, No. 3, 366--372 (2023; Zbl 07764663) Full Text: DOI arXiv OA License
Fine, Benjamin; Moldenhauer, Anja; Rosenberger, Gerhard; Schürenberg, Annika; Wienke, Leonard Algebra and number theory. A selection of highlights. 2nd edition. (English) Zbl 1524.11001 De Gruyter Graduate. Berlin: De Gruyter (ISBN 978-3-11-078998-0/pbk; 978-3-11-079028-3/ebook). x, 380 p. (2023). MSC: 11-01 12-01 13-01 16-01 20-01 97Hxx PDFBibTeX XMLCite \textit{B. Fine} et al., Algebra and number theory. A selection of highlights. 2nd edition. Berlin: De Gruyter (2023; Zbl 1524.11001) Full Text: DOI
Kanado, Yuya; Saito, Kota A system of certain linear Diophantine equations on analogs of squares. (English) Zbl 07683782 Acta Arith. 207, No. 3, 251-277 (2023). Reviewer: Simon Kristensen (Aarhus) MSC: 11D04 11J71 11B39 PDFBibTeX XMLCite \textit{Y. Kanado} and \textit{K. Saito}, Acta Arith. 207, No. 3, 251--277 (2023; Zbl 07683782) Full Text: DOI arXiv
Yang, Shichun; Togbé, Alain Odd deficient-perfect numbers with four distinct prime factors. (English) Zbl 1520.11007 Integers 23, Paper A5, 20 p. (2023). MSC: 11A25 PDFBibTeX XMLCite \textit{S. Yang} and \textit{A. Togbé}, Integers 23, Paper A5, 20 p. (2023; Zbl 1520.11007) Full Text: Link
Becker, Audrey Friends of two times a prime number. (English) Zbl 1524.11009 Int. J. Math. Comput. Sci. 18, No. 2, 335-341 (2023). MSC: 11A25 PDFBibTeX XMLCite \textit{A. Becker}, Int. J. Math. Comput. Sci. 18, No. 2, 335--341 (2023; Zbl 1524.11009) Full Text: Link
Hajnal, Péter A short note on Layman permutations. (English) Zbl 1511.11016 Acta Univ. Sapientiae, Math. 14, No. 2, 231-238 (2022). Reviewer: Uğur Duran (Iskenderun) MSC: 11B39 05A05 PDFBibTeX XMLCite \textit{P. Hajnal}, Acta Univ. Sapientiae, Math. 14, No. 2, 231--238 (2022; Zbl 1511.11016) Full Text: DOI
Almeida, Paulo J.; Cardoso, Gabriel An extension of the Euclid-Euler theorem to certain \(\alpha\)-perfect numbers. (English) Zbl 1506.11008 J. Integer Seq. 25, No. 8, Article 22.8.4, 16 p. (2022). MSC: 11A25 11N25 11B83 PDFBibTeX XMLCite \textit{P. J. Almeida} and \textit{G. Cardoso}, J. Integer Seq. 25, No. 8, Article 22.8.4, 16 p. (2022; Zbl 1506.11008) Full Text: Link
Chalebgwa, Taboka Prince; Morris, Sidney A. A continuous homomorphism of a thin set onto a fat set. (English) Zbl 1503.54008 Bull. Aust. Math. Soc. 106, No. 3, 500-503 (2022). MSC: 54C10 28C15 PDFBibTeX XMLCite \textit{T. P. Chalebgwa} and \textit{S. A. Morris}, Bull. Aust. Math. Soc. 106, No. 3, 500--503 (2022; Zbl 1503.54008) Full Text: DOI
Espinosa, P. F. F.; González, J. F.; Herrán, J. P.; Cañadas, A. M.; Ramírez, J. L. On some relationships between snake graphs and Brauer configuration algebras. (English) Zbl 1518.05152 Algebra Discrete Math. 33, No. 2, 29 (2022). MSC: 05C70 05C30 05A15 05B45 13F60 11B39 PDFBibTeX XMLCite \textit{P. F. F. Espinosa} et al., Algebra Discrete Math. 33, No. 2, 29 (2022; Zbl 1518.05152) Full Text: Link
Suleiman, Ramzi Economic harmony – a rational theory of fairness and cooperation in strategic interactions. (English) Zbl 1501.91007 Games 13, No. 3, Paper No. 34, 21 p. (2022). MSC: 91A05 91A20 91A11 91A90 PDFBibTeX XMLCite \textit{R. Suleiman}, Games 13, No. 3, Paper No. 34, 21 p. (2022; Zbl 1501.91007) Full Text: DOI
Farhadian, Reza; Jakimczuk, Rafael A further generalization of \(\lim_{n \to \infty}\sqrt[n]{n!}/n = 1/e\). (English) Zbl 1506.40002 Ann. Math. Sil. 36, No. 2, 167-175 (2022). MSC: 40A20 11B83 PDFBibTeX XMLCite \textit{R. Farhadian} and \textit{R. Jakimczuk}, Ann. Math. Sil. 36, No. 2, 167--175 (2022; Zbl 1506.40002) Full Text: DOI
Gallardo, Luis H. On the index of odd perfect numbers. (English) Zbl 1501.11011 Integers 22, Paper A58, 12 p. (2022). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 11A25 11D41 PDFBibTeX XMLCite \textit{L. H. Gallardo}, Integers 22, Paper A58, 12 p. (2022; Zbl 1501.11011) Full Text: Link
Patodia, Harish; Saikia, Helen Near-Zumkeller numbers. (English) Zbl 1498.11019 Proyecciones 41, No. 3, 765-776 (2022). MSC: 11A25 97F60 PDFBibTeX XMLCite \textit{H. Patodia} and \textit{H. Saikia}, Proyecciones 41, No. 3, 765--776 (2022; Zbl 1498.11019) Full Text: DOI
Cai, Tianxin Perfect numbers and Fibonacci sequences. (English) Zbl 1504.11001 Singapore: World Scientific (ISBN 978-981-12-4407-0/hbk; 978-981-12-4409-4/ebook). xxv, 234 p. (2022). Reviewer: Pentti Haukkanen (Tampere) MSC: 11-01 11A25 11B39 PDFBibTeX XMLCite \textit{T. Cai}, Perfect numbers and Fibonacci sequences. Singapore: World Scientific (2022; Zbl 1504.11001) Full Text: DOI
Chinram, Ronnason; Petchkaew, Pattarawan; Hangsawat, Saranya A note of 2-distance balancing numbers. (English) Zbl 1499.11053 Int. J. Math. Comput. Sci. 17, No. 1, 135-142 (2022). MSC: 11B39 05A15 PDFBibTeX XMLCite \textit{R. Chinram} et al., Int. J. Math. Comput. Sci. 17, No. 1, 135--142 (2022; Zbl 1499.11053) Full Text: Link
Jakimczuk, Rafael; Lalín, Matilde The number of prime factors on average in certain integer sequences. (English) Zbl 1492.11140 J. Integer Seq. 25, No. 2, Article 22.2.3, 15 p. (2022). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N37 11A25 11B99 PDFBibTeX XMLCite \textit{R. Jakimczuk} and \textit{M. Lalín}, J. Integer Seq. 25, No. 2, Article 22.2.3, 15 p. (2022; Zbl 1492.11140) Full Text: Link
Andersen, Nickolas; Durham, Spencer; Griffin, Michael J.; Hales, Jonathan; Jenskins, Paul; Keck, Ryan; Ko, Hankun; Molnar, Grant; Moss, Eric; Nielsen, Pace P.; Niendorf, Kyle; Tombs, Vandy; Warnick, Merrill; Wu, Dongsheng Odd, spoof perfect factorizations. (English) Zbl 1484.11232 J. Number Theory 234, 31-47 (2022). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11Y50 11D72 11A25 PDFBibTeX XMLCite \textit{N. Andersen} et al., J. Number Theory 234, 31--47 (2022; Zbl 1484.11232) Full Text: DOI
Parvathy, C. R.; Vidhya, K. R. Representation of covering spaces in algebraic topology. (English) Zbl 1499.57016 South East Asian J. Math. Math. Sci. 17, Proceedings, 141-148 (2021). MSC: 57M10 57S05 18F60 54C05 54C10 97F50 PDFBibTeX XMLCite \textit{C. R. Parvathy} and \textit{K. R. Vidhya}, South East Asian J. Math. Math. Sci. 17, 141--148 (2021; Zbl 1499.57016) Full Text: Link
Tiebekabe, P.; Diouf, I. On solutions of the Diophantine equation \(F_{n_1}+F_{n_2}+F_{n_3}+F_{n_4}=2^a\). (English) Zbl 1499.11086 J. Algebra Relat. Top. 9, No. 2, 131-148 (2021). MSC: 11B39 11J86 11D61 PDFBibTeX XMLCite \textit{P. Tiebekabe} and \textit{I. Diouf}, J. Algebra Relat. Top. 9, No. 2, 131--148 (2021; Zbl 1499.11086) Full Text: DOI arXiv
Bibby, Sean; Vyncke, Pieter; Zelinsky, Joshua On the third largest prime divisor of an odd perfect number. (English) Zbl 1490.11008 Integers 21, Paper A115, 30 p. (2021). MSC: 11A25 PDFBibTeX XMLCite \textit{S. Bibby} et al., Integers 21, Paper A115, 30 p. (2021; Zbl 1490.11008) Full Text: arXiv Link
Yamada, Tomohiro An exponential Diophantine equation related to odd perfect numbers. (English) Zbl 1491.11036 Acta Math. Univ. Comen., New Ser. 90, No. 2, 145-155 (2021). Reviewer: Gökhan Soydan (Bursa) MSC: 11D61 11A25 11J86 11D45 PDFBibTeX XMLCite \textit{T. Yamada}, Acta Math. Univ. Comen., New Ser. 90, No. 2, 145--155 (2021; Zbl 1491.11036) Full Text: arXiv Link
Remmen, Grant N. Exploration of a singular fluid spacetime. (English) Zbl 1483.83028 Gen. Relativ. Gravitation 53, No. 11, Paper No. 101, 23 p. (2021). MSC: 83C55 76E20 83C75 53C22 83C56 53Z05 PDFBibTeX XMLCite \textit{G. N. Remmen}, Gen. Relativ. Gravitation 53, No. 11, Paper No. 101, 23 p. (2021; Zbl 1483.83028) Full Text: DOI arXiv
Goryushkin, A. P. On the use of computer technology in the study of the discipline “number theory”. (Russian. English summary) Zbl 1488.11182 Vestn. KRAUNTS, Fiz.-Mat. Nauki 35, No. 2, 63-70 (2021). MSC: 11Yxx 11Y11 11Y70 PDFBibTeX XMLCite \textit{A. P. Goryushkin}, Vestn. KRAUNTS, Fiz.-Mat. Nauki 35, No. 2, 63--70 (2021; Zbl 1488.11182) Full Text: DOI MNR
Tiebekabe, Pagdame; Diouf, Ismaïla Linear forms in logarithms and the mathematical method of Diophantine equations: applications in chemistry and physics. (English) Zbl 1498.11107 J. Math. Chem. 59, No. 9, 2009-2020 (2021). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11D99 11B39 92E20 70F15 PDFBibTeX XMLCite \textit{P. Tiebekabe} and \textit{I. Diouf}, J. Math. Chem. 59, No. 9, 2009--2020 (2021; Zbl 1498.11107) Full Text: DOI
Aboudja, Hyacinthe; Hernane, Mohand; Rihane, Salah Eddine; Togbé, Alain On perfect powers that are sums of two Pell numbers. (English) Zbl 1488.11090 Period. Math. Hung. 82, No. 1, 11-15 (2021). MSC: 11D61 11B39 PDFBibTeX XMLCite \textit{H. Aboudja} et al., Period. Math. Hung. 82, No. 1, 11--15 (2021; Zbl 1488.11090) Full Text: DOI
Zelinsky, Joshua On the total number of prime factors of an odd perfect number. (English) Zbl 1487.11007 Integers 21, Paper A76, 55 p. (2021). Reviewer: Pace Nielsen (Provo) MSC: 11A25 11A51 11N32 PDFBibTeX XMLCite \textit{J. Zelinsky}, Integers 21, Paper A76, 55 p. (2021; Zbl 1487.11007) Full Text: arXiv Link
Aursukaree, Saralee; Pongsriiam, Prapanpong On exactly 3-deficient-perfect numbers. (English) Zbl 1489.11009 Fibonacci Q. 59, No. 1, 33-46 (2021). Reviewer: Jitender Singh (Amritsar) MSC: 11A25 PDFBibTeX XMLCite \textit{S. Aursukaree} and \textit{P. Pongsriiam}, Fibonacci Q. 59, No. 1, 33--46 (2021; Zbl 1489.11009) Full Text: arXiv Link
Bernardini, Matheus; Marques, Diego; Trojovský, Pavel On two-generator Fibonacci numerical semigroups with a prescribed genus. (English) Zbl 1495.11050 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 149, 18 p. (2021). MSC: 11D07 11B39 20M13 PDFBibTeX XMLCite \textit{M. Bernardini} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 149, 18 p. (2021; Zbl 1495.11050) Full Text: DOI
Bravo, Jhon J.; Herrera, Jose L. Even perfect numbers in generalized Pell sequences. (English) Zbl 1471.11048 Lith. Math. J. 61, No. 1, 1-12 (2021). MSC: 11B39 11A25 11J86 PDFBibTeX XMLCite \textit{J. J. Bravo} and \textit{J. L. Herrera}, Lith. Math. J. 61, No. 1, 1--12 (2021; Zbl 1471.11048) Full Text: DOI
Chu, Hùng Việt Divisibility of divisor functions of even perfect numbers. (English) Zbl 1460.11006 J. Integer Seq. 24, No. 3, Article 21.3.4, 16 p. (2021). MSC: 11A25 PDFBibTeX XMLCite \textit{H. V. Chu}, J. Integer Seq. 24, No. 3, Article 21.3.4, 16 p. (2021; Zbl 1460.11006) Full Text: Link
Fossa, John On the proposition that every perfect number is a triangular number. (Sobre a proposição de que todo número perfeito é um número triangular.) (Portuguese. English summary) Zbl 1490.01007 Rev. Bras. Hist. Mat. 20, No. 40, 32-45 (2020). MSC: 11-03 01A20 01A40 PDFBibTeX XMLCite \textit{J. Fossa}, Rev. Bras. Hist. Mat. 20, No. 40, 32--45 (2020; Zbl 1490.01007) Full Text: DOI
Yamada, Tomohiro Corrigendum to: “A new upper bound for odd perfect numbers of a special form”. (English) Zbl 1484.11008 Colloq. Math. 162, No. 2, 311-313 (2020). MSC: 11A25 11D61 11J86 PDFBibTeX XMLCite \textit{T. Yamada}, Colloq. Math. 162, No. 2, 311--313 (2020; Zbl 1484.11008) Full Text: DOI
Lescot, Paul An arithmetical question related to perfect numbers. (English) Zbl 1506.11009 Math. Gaz. 104, No. 559, 20-26 (2020). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11A25 PDFBibTeX XMLCite \textit{P. Lescot}, Math. Gaz. 104, No. 559, 20--26 (2020; Zbl 1506.11009) Full Text: DOI HAL
Zhang, Sibao Characterizations on certain odd positive integer with five distinct prime factors. (Chinese. English summary) Zbl 1488.11011 J. Nanchang Univ., Nat. Sci. 44, No. 6, 524-528, 533 (2020). MSC: 11A25 11A41 PDFBibTeX XMLCite \textit{S. Zhang}, J. Nanchang Univ., Nat. Sci. 44, No. 6, 524--528, 533 (2020; Zbl 1488.11011) 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
Allouche, Jean-Paul; Han, Guo-Niu; Niederreiter, Harald Perfect linear complexity profile and apwenian sequences. (English) Zbl 1464.11077 Finite Fields Appl. 68, Article ID 101761, 13 p. (2020). Reviewer: Simon Kristensen (Aarhus) MSC: 11K45 11K50 11J70 11B85 11T71 94A55 PDFBibTeX XMLCite \textit{J.-P. Allouche} et al., Finite Fields Appl. 68, Article ID 101761, 13 p. (2020; Zbl 1464.11077) Full Text: DOI arXiv
Yamada, Tomohiro On Sinha’s note on perfect numbers. (English) Zbl 1474.11017 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 51, 301-308 (2020). MSC: 11A25 PDFBibTeX XMLCite \textit{T. Yamada}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 51, 301--308 (2020; Zbl 1474.11017) Full Text: arXiv Link
Yamada, Tomohiro On the divisibility of odd perfect numbers, quasiperfect numbers and amicable numbers by a high power of a prime. (English) Zbl 1471.11014 Integers 20, Paper A91, 17 p. (2020). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 11A25 11N35 11A41 11B25 PDFBibTeX XMLCite \textit{T. Yamada}, Integers 20, Paper A91, 17 p. (2020; Zbl 1471.11014) Full Text: arXiv Link
Darkunde, N. S.; Basude, S. P.; Salunke, J. N. On four tuple of distinct integers such that the sum of any two of them is cube of a positive integer. (English) Zbl 1463.11102 South East Asian J. Math. Math. Sci. 16, No. 2, 271-280 (2020). MSC: 11D25 PDFBibTeX XMLCite \textit{N. S. Darkunde} et al., South East Asian J. Math. Math. Sci. 16, No. 2, 271--280 (2020; Zbl 1463.11102) Full Text: Link
Moreno-Frias, Maria Ángeles; Rosales, José Carlos Perfect numerical semigroups with embedding dimension three. (English) Zbl 1463.20073 Publ. Math. Debr. 97, No. 1-2, 77-84 (2020). Reviewer: Peter R. Jones (Milwaukee) MSC: 20M14 11D07 PDFBibTeX XMLCite \textit{M. Á. Moreno-Frias} and \textit{J. C. Rosales}, Publ. Math. Debr. 97, No. 1--2, 77--84 (2020; Zbl 1463.20073) Full Text: DOI
Gallardo, Luis H.; Rahavandrainy, Olivier A polynomial variant of perfect numbers. (English) Zbl 1480.11007 J. Integer Seq. 23, No. 8, Article 20.8.6, 9 p. (2020). Reviewer: Mehdi Hassani (Zanjan) MSC: 11A25 11T06 11T55 PDFBibTeX XMLCite \textit{L. H. Gallardo} and \textit{O. Rahavandrainy}, J. Integer Seq. 23, No. 8, Article 20.8.6, 9 p. (2020; Zbl 1480.11007) Full Text: Link
Yamada, Tomohiro On finiteness of odd superperfect numbers. (English. French summary) Zbl 1469.11011 J. Théor. Nombres Bordx. 32, No. 1, 259-274 (2020). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11A25 11A05 11D61 11J86 PDFBibTeX XMLCite \textit{T. Yamada}, J. Théor. Nombres Bordx. 32, No. 1, 259--274 (2020; Zbl 1469.11011) Full Text: DOI arXiv
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
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
Krishna, Vrishab Generalizing abundancy index to Gaussian integers. (English) Zbl 1441.11272 Int. J. Math. Comput. Sci. 15, No. 2, 683-695 (2020). MSC: 11R11 11N80 PDFBibTeX XMLCite \textit{V. Krishna}, Int. J. Math. Comput. Sci. 15, No. 2, 683--695 (2020; Zbl 1441.11272) Full Text: arXiv Link
Cohen, Peter; Cordwell, Katherine; Epstein, Alyssa; Kwan, Chung-Hang; Lott, Adam; Miller, Steven J. On near-perfect numbers. (English) Zbl 1465.11036 Acta Arith. 194, No. 4, 341-366 (2020). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 11N25 11B83 PDFBibTeX XMLCite \textit{P. Cohen} et al., Acta Arith. 194, No. 4, 341--366 (2020; Zbl 1465.11036) Full Text: DOI arXiv
Munagi, Augustine O. Perfect compositions of numbers. (English) Zbl 1441.05021 J. Integer Seq. 23, No. 5, Article 20.5.1, 8 p. (2020). MSC: 05A17 11P81 11A25 05A15 05A19 PDFBibTeX XMLCite \textit{A. O. Munagi}, J. Integer Seq. 23, No. 5, Article 20.5.1, 8 p. (2020; Zbl 1441.05021) Full Text: Link
Schlosser, Michael J.; Yoo, Meesue Elliptic rook and file numbers. (English. French summary) Zbl 1440.05029 Proceedings of the 28th international conference on formal power series and algebraic combinatorics, FPSAC 2016, Vancouver, Canada, July 4–8, 2016. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Math. Theor. Comput. Sci., Proc., 1087-1098 (2020). MSC: 05A15 05B05 05A05 11B73 05C70 PDFBibTeX XMLCite \textit{M. J. Schlosser} and \textit{M. Yoo}, in: Proceedings of the 28th international conference on formal power series and algebraic combinatorics, FPSAC 2016, Vancouver, Canada, July 4--8, 2016. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 1087--1098 (2020; Zbl 1440.05029) Full Text: Link
Dass, B. K.; Sharma, Namita; Verma, Rashmi MDS and \(I\)-perfect poset block codes. (English) Zbl 1452.94112 Finite Fields Appl. 62, Article ID 101620, 21 p. (2020). MSC: 94B05 94B75 PDFBibTeX XMLCite \textit{B. K. Dass} et al., Finite Fields Appl. 62, Article ID 101620, 21 p. (2020; Zbl 1452.94112) Full Text: DOI
Okabe, Yuta; Ohtani, Sachiko Odd 4-perfect numbers exactly divisible by \(3^2\). (English) Zbl 1459.11008 Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 471-480 (2020). MSC: 11A05 11A25 PDFBibTeX XMLCite \textit{Y. Okabe} and \textit{S. Ohtani}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 471--480 (2020; Zbl 1459.11008) Full Text: DOI
Duc, Tai Do Necessary conditions for the existence of group-invariant Butson Hadamard matrices and a new family of perfect arrays. (English) Zbl 1430.05010 Des. Codes Cryptography 88, No. 1, 73-90 (2020). MSC: 05B20 11T23 15B34 PDFBibTeX XMLCite \textit{T. D. Duc}, Des. Codes Cryptography 88, No. 1, 73--90 (2020; Zbl 1430.05010) Full Text: DOI Link
Pasko, A. M. The Betti numbers of the space \( \mathbb{C}\Omega_3\). (English) Zbl 1489.41004 Res. Math. 27, No. 2, 28-31 (2019). MSC: 41A10 41A44 46E20 PDFBibTeX XMLCite \textit{A. M. Pasko}, Res. Math. 27, No. 2, 28--31 (2019; Zbl 1489.41004) Full Text: DOI
Öteleş, Ahmet Bipartite graphs associated with Pell, Mersenne and Perrin numbers. (English) Zbl 1488.05316 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 27, No. 2, 109-120 (2019). MSC: 05C50 11B39 15A15 PDFBibTeX XMLCite \textit{A. Öteleş}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 27, No. 2, 109--120 (2019; Zbl 1488.05316) Full Text: DOI
Eggleton, Roger B. Equisum partitions of sets of positive integers. (English) Zbl 1460.11117 Algorithms (Basel) 12, No. 8, Paper No. 164, 13 p. (2019). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P70 05A18 11A25 PDFBibTeX XMLCite \textit{R. B. Eggleton}, Algorithms (Basel) 12, No. 8, Paper No. 164, 13 p. (2019; Zbl 1460.11117) Full Text: DOI
Shen, Jianghong; Gao, Li; Zhang, Mingli Solvability of a ternary variable coefficient of Euler functional equation with constant terms and a perfect number. (Chinese. English summary) Zbl 1449.11009 J. Yunnan Minzu Univ., Nat. Sci. 28, No. 5, 455-461 (2019). MSC: 11A25 PDFBibTeX XMLCite \textit{J. Shen} et al., J. Yunnan Minzu Univ., Nat. Sci. 28, No. 5, 455--461 (2019; Zbl 1449.11009)
Young, Donovan Generating functions for domino matchings in the \(2 \times k\) game of memory. (English) Zbl 1431.05013 J. Integer Seq. 22, No. 8, Article 19.8.7, 17 p. (2019). MSC: 05A15 05C70 60C05 11B39 05C31 PDFBibTeX XMLCite \textit{D. Young}, J. Integer Seq. 22, No. 8, Article 19.8.7, 17 p. (2019; Zbl 1431.05013) Full Text: arXiv Link
Bravo, Jhon J.; Luca, Florian Perfect Pell and Pell-Lucas numbers. (English) Zbl 1449.11026 Stud. Sci. Math. Hung. 56, No. 4, 381-387 (2019). Reviewer: Andreas N. Philippou (Patras) MSC: 11B39 11A25 PDFBibTeX XMLCite \textit{J. J. Bravo} and \textit{F. Luca}, Stud. Sci. Math. Hung. 56, No. 4, 381--387 (2019; Zbl 1449.11026) Full Text: DOI
Lee, Kwangchul; Seo, Gyeong-Sig Some properties of restricted divisor functions. II. (English) Zbl 1439.11006 Proc. Jangjeon Math. Soc. 22, No. 2, 349-355 (2019). MSC: 11A05 11A25 PDFBibTeX XMLCite \textit{K. Lee} and \textit{G.-S. Seo}, Proc. Jangjeon Math. Soc. 22, No. 2, 349--355 (2019; Zbl 1439.11006)
Becher, Verónica; Carton, Olivier Normal numbers and nested perfect necklaces. (English) Zbl 1419.11099 J. Complexity 54, Article ID 101403, 12 p. (2019). MSC: 11K16 05A05 11K38 65C10 65Y20 68R15 PDFBibTeX XMLCite \textit{V. Becher} and \textit{O. Carton}, J. Complexity 54, Article ID 101403, 12 p. (2019; Zbl 1419.11099) Full Text: DOI arXiv
Becher, Verónica; Carton, Olivier; Mollo Cunningham, Ignacio Low discrepancy sequences failing Poissonian pair correlations. (English) Zbl 1470.11207 Arch. Math. 113, No. 2, 169-178 (2019). MSC: 11K38 11K16 05A05 PDFBibTeX XMLCite \textit{V. Becher} et al., Arch. Math. 113, No. 2, 169--178 (2019; Zbl 1470.11207) Full Text: DOI arXiv
Zelinsky, Joshua Upper bounds on the second largest prime factor of an odd perfect number. (English) Zbl 1435.11012 Int. J. Number Theory 15, No. 6, 1183-1189 (2019). MSC: 11A25 PDFBibTeX XMLCite \textit{J. Zelinsky}, Int. J. Number Theory 15, No. 6, 1183--1189 (2019; Zbl 1435.11012) Full Text: DOI arXiv
Cai, Tianxin; Wang, Liuquan; Zhang, Yong Perfect numbers and Fibonacci primes. II. (English) Zbl 1442.11011 Integers 19, Paper A21, 10 p. (2019). MSC: 11A25 11B39 PDFBibTeX XMLCite \textit{T. Cai} et al., Integers 19, Paper A21, 10 p. (2019; Zbl 1442.11011) Full Text: arXiv Link
Holdener, Judy; Rachfal, Emily Perfect and deficient perfect numbers. (English) Zbl 1477.11012 Am. Math. Mon. 126, No. 6, 541-546 (2019). Reviewer: Christian Aebi (Genève) MSC: 11A25 PDFBibTeX XMLCite \textit{J. Holdener} and \textit{E. Rachfal}, Am. Math. Mon. 126, No. 6, 541--546 (2019; Zbl 1477.11012) Full Text: DOI Link
Ulas, Maciej A note on the Diophantine equation \(2^{n-1}(2^{n}-1)=x^3+y^3+z^3\). (English) Zbl 1473.11010 Funct. Approximatio, Comment. Math. 60, No. 1, 87-96 (2019). Reviewer: István Gaál (Debrecen) MSC: 11A25 11D61 11D25 PDFBibTeX XMLCite \textit{M. Ulas}, Funct. Approximatio, Comment. Math. 60, No. 1, 87--96 (2019; Zbl 1473.11010) Full Text: DOI arXiv Euclid
Amato, Gianluca; Hasler, Maximilian F.; Melfi, Giuseppe; Parton, Maurizio Primitive abundant and weird numbers with many prime factors. (English) Zbl 1437.11167 J. Number Theory 201, 436-459 (2019). MSC: 11Y55 11N25 11A25 PDFBibTeX XMLCite \textit{G. Amato} et al., J. Number Theory 201, 436--459 (2019; Zbl 1437.11167) Full Text: DOI arXiv
Yamada, Tomohiro A new upper bound for odd perfect numbers of a special form. (English) Zbl 1457.11011 Colloq. Math. 156, No. 1, 15-23 (2019); corrigendum ibid. 162, No. 2, 311-313 (2020). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 11D61 11J86 PDFBibTeX XMLCite \textit{T. Yamada}, Colloq. Math. 156, No. 1, 15--23 (2019; Zbl 1457.11011) Full Text: DOI arXiv
Bjorkman, Beth; Cochran, Garner; Gao, Wei; Keough, Lauren; Kirsch, Rachel; Phillipson, Mitch; Rorabaugh, Danny; Smith, Heather; Wise, Jennifer \(k\)-foldability of words. (English) Zbl 1411.05009 Discrete Appl. Math. 259, 19-30 (2019). MSC: 05A05 05C05 05C30 05C70 PDFBibTeX XMLCite \textit{B. Bjorkman} et al., Discrete Appl. Math. 259, 19--30 (2019; Zbl 1411.05009) Full Text: DOI arXiv
Skałba, M. Products of disjoint blocks of integers being high powers. (English) Zbl 1454.11007 Int. J. Number Theory 15, No. 1, 85-88 (2019). Reviewer: Maciej Ulas (Kraków) MSC: 11A05 11D57 PDFBibTeX XMLCite \textit{M. Skałba}, Int. J. Number Theory 15, No. 1, 85--88 (2019; Zbl 1454.11007) Full Text: DOI
Brunotte, Horst Perfect numbers with identical digits in negative base. (English) Zbl 1468.11013 Int. Electron. J. Algebra 25, 199-211 (2019). MSC: 11A25 11A63 PDFBibTeX XMLCite \textit{H. Brunotte}, Int. Electron. J. Algebra 25, 199--211 (2019; Zbl 1468.11013) Full Text: Link
Terry, Nico Friends of 15 live far away. (English) Zbl 1461.11016 Int. J. Math. Comput. Sci. 14, No. 1, 177-186 (2019). MSC: 11A25 PDFBibTeX XMLCite \textit{N. Terry}, Int. J. Math. Comput. Sci. 14, No. 1, 177--186 (2019; Zbl 1461.11016) Full Text: Link
Zhang, Sibao; Wang, Weidong Some results on odd deficient-perfect numbers with four distinct prime factors. (Chinese. English summary) Zbl 1424.11017 Math. Pract. Theory 48, No. 16, 272-277 (2018). MSC: 11A25 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{W. Wang}, Math. Pract. Theory 48, No. 16, 272--277 (2018; Zbl 1424.11017)
Zelinsky, Joshua An improvement of an inequality of Ochem and Rao concerning odd perfect numbers. (English) Zbl 1448.11013 Integers 18, Paper A48, 5 p. (2018). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 PDFBibTeX XMLCite \textit{J. Zelinsky}, Integers 18, Paper A48, 5 p. (2018; Zbl 1448.11013) Full Text: arXiv Link
Yamada, Tomohiro Addendum and corrigenda to the paper “Infinitary superperfect numbers”. (English) Zbl 1424.11012 Ann. Math. Inform. 48, 199-201 (2018). MSC: 11A25 PDFBibTeX XMLCite \textit{T. Yamada}, Ann. Math. Inform. 48, 199--201 (2018; Zbl 1424.11012) Full Text: DOI
Bagdasar, Ovidiu; Tatt, Ralph On some new arithmetic functions involving prime divisors and perfect powers. (English) Zbl 1453.11002 Korpelainen, Nicholas (ed.), TCDM 2018. Proceedings of the 2nd IMA conference on theoretical and computational discrete mathematics, University of Derby, Derby, UK, September 14–15, 2018. Part 1. Amsterdam: Elsevier. Electron. Notes Discrete Math. 70, 9-15 (2018). MSC: 11A25 11B83 11B68 11B37 11B75 11Y55 PDFBibTeX XMLCite \textit{O. Bagdasar} and \textit{R. Tatt}, Electron. Notes Discrete Math. 70, 9--15 (2018; Zbl 1453.11002) Full Text: DOI
Guan, Xungui On several propositions of odd perfect numbers and anti-sociable numbers. (Chinese. English summary) Zbl 1424.11009 Math. Pract. Theory 48, No. 9, 269-273 (2018). MSC: 11A25 PDFBibTeX XMLCite \textit{X. Guan}, Math. Pract. Theory 48, No. 9, 269--273 (2018; Zbl 1424.11009)
Nacaroğlu, Yaşar; Maden, Ayşe Dilek On the eccentric connectivity index of unicyclic graphs. (English) Zbl 1406.92774 Iran. J. Math. Chem. 9, No. 1, 47-56 (2018). MSC: 92E10 05C90 PDFBibTeX XMLCite \textit{Y. Nacaroğlu} and \textit{A. D. Maden}, Iran. J. Math. Chem. 9, No. 1, 47--56 (2018; Zbl 1406.92774) Full Text: DOI
Jiang, Xing-Wang On even perfect numbers. (English) Zbl 1429.11007 Colloq. Math. 154, No. 1, 131-136 (2018). MSC: 11A25 PDFBibTeX XMLCite \textit{X.-W. Jiang}, Colloq. Math. 154, No. 1, 131--136 (2018; Zbl 1429.11007) Full Text: DOI
Yamada, Tomohiro On the simultaneous equations \(\sigma(2^a)=p^{f_1}q^{g_1}, \sigma(3^b)=p^{f_2}q^{g_2}, \sigma(5^c)=p^{f_3}q^{g_3}\). (English) Zbl 1413.11010 Publ. Math. Debr. 93, No. 1-2, 57-71 (2018). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 11D61 PDFBibTeX XMLCite \textit{T. Yamada}, Publ. Math. Debr. 93, No. 1--2, 57--71 (2018; Zbl 1413.11010) Full Text: DOI arXiv
Booker, Andrew R. Finite connected components of the aliquot graph. (English) Zbl 1436.11008 Math. Comput. 87, No. 314, 2891-2902 (2018). MSC: 11A25 11Y16 PDFBibTeX XMLCite \textit{A. R. Booker}, Math. Comput. 87, No. 314, 2891--2902 (2018; Zbl 1436.11008) Full Text: DOI arXiv
Goudout, Élie Highest perfect power of a product of integers less than \(x\). (English) Zbl 1435.11129 Int. J. Number Theory 14, No. 7, 2043-2044 (2018). MSC: 11N37 11A05 11N56 PDFBibTeX XMLCite \textit{É. Goudout}, Int. J. Number Theory 14, No. 7, 2043--2044 (2018; Zbl 1435.11129) Full Text: DOI arXiv
Sha, Min Correction to: The arithmetic of Carmichael quotients. (English) Zbl 1399.11016 Period. Math. Hung. 76, No. 2, 271-273 (2018). MSC: 11A25 11B50 11A07 PDFBibTeX XMLCite \textit{M. Sha}, Period. Math. Hung. 76, No. 2, 271--273 (2018; Zbl 1399.11016) Full Text: DOI
Defant, Colin Connected components of complex divisor functions. (English) Zbl 1420.11127 J. Number Theory 190, 56-71 (2018). MSC: 11N64 11A25 11B05 PDFBibTeX XMLCite \textit{C. Defant}, J. Number Theory 190, 56--71 (2018; Zbl 1420.11127) Full Text: DOI arXiv
Schinzel, Andrzej On some open problems of number theory. (English) Zbl 1399.11002 Publ. Math. Debr. 92, No. 1-2, 255-260 (2018). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11-02 11Axx PDFBibTeX XMLCite \textit{A. Schinzel}, Publ. Math. Debr. 92, No. 1--2, 255--260 (2018; Zbl 1399.11002) Full Text: DOI
Żmija, Błażej Power values of arithmetic functions. (English) Zbl 1415.11015 Colloq. Math. 151, No. 1, 19-25 (2018). Reviewer: Florian Luca (Johannesburg) MSC: 11A25 11N25 PDFBibTeX XMLCite \textit{B. Żmija}, Colloq. Math. 151, No. 1, 19--25 (2018; Zbl 1415.11015) Full Text: DOI
Karadeniz Gözeri, Gül On Pell, Pell-Lucas, and balancing numbers. (English) Zbl 1436.11018 J. Inequal. Appl. 2018, Paper No. 3, 16 p. (2018). MSC: 11B39 11D09 PDFBibTeX XMLCite \textit{G. Karadeniz Gözeri}, J. Inequal. Appl. 2018, Paper No. 3, 16 p. (2018; Zbl 1436.11018) Full Text: DOI
Öteleş, Ahmet On the number of perfect matchings for some certain types of bipartite graphs. (English) Zbl 1499.05385 Filomat 31, No. 15, 4809-4818 (2017). MSC: 05C50 15A15 11B39 05C70 PDFBibTeX XMLCite \textit{A. Öteleş}, Filomat 31, No. 15, 4809--4818 (2017; Zbl 1499.05385) Full Text: DOI
Li, Jian; Liao, Qunying A special class of near-perfect numbers. (English) Zbl 1399.11012 J. Univ. Sci. Technol. China 47, No. 11, 906-911 (2017). MSC: 11A25 PDFBibTeX XMLCite \textit{J. Li} and \textit{Q. Liao}, J. Univ. Sci. Technol. China 47, No. 11, 906--911 (2017; Zbl 1399.11012) Full Text: DOI
Zhang, Sibao; Deng, Yong Problems of whether or not several kinds of positive numbers are perfect numbers. (Chinese. English summary) Zbl 1399.11019 J. Nat. Sci. Hunan Norm. Univ. 40, No. 3, 79-82 (2017). MSC: 11A25 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{Y. Deng}, J. Nat. Sci. Hunan Norm. Univ. 40, No. 3, 79--82 (2017; Zbl 1399.11019) Full Text: DOI
Guan, Wenji On the \(2^r\)-perfect numbers. (Chinese. English summary) Zbl 1399.11008 J. Inn. Mong. Norm. Univ., Nat. Sci. 46, No. 4, 492-493, 497 (2017). MSC: 11A25 PDFBibTeX XMLCite \textit{W. Guan}, J. Inn. Mong. Norm. Univ., Nat. Sci. 46, No. 4, 492--493, 497 (2017; Zbl 1399.11008) Full Text: DOI
Farhi, Bakir On the representation of an even perfect number as the sum of five cubes. (English) Zbl 1431.11009 Funct. Approximatio, Comment. Math. 57, No. 2, 277-278 (2017). MSC: 11A25 11P05 PDFBibTeX XMLCite \textit{B. Farhi}, Funct. Approximatio, Comment. Math. 57, No. 2, 277--278 (2017; Zbl 1431.11009) Full Text: DOI Euclid
Dris, Jose Arnaldo B. On a curious biconditional involving the divisors of odd perfect numbers. (English) Zbl 1398.11016 Notes Number Theory Discrete Math. 23, No. 4, 1-13 (2017). MSC: 11A25 PDFBibTeX XMLCite \textit{J. A. B. Dris}, Notes Number Theory Discrete Math. 23, No. 4, 1--13 (2017; Zbl 1398.11016) Full Text: arXiv Link
Dris, Jose Arnaldo B. The abundancy index of divisors of odd perfect numbers. III. (English) Zbl 1397.11005 Notes Number Theory Discrete Math. 23, No. 3, 53-59 (2017). MSC: 11A25 PDFBibTeX XMLCite \textit{J. A. B. Dris}, Notes Number Theory Discrete Math. 23, No. 3, 53--59 (2017; Zbl 1397.11005) Full Text: Link
Dris, Jose Arnaldo B. Conditions equivalent to the Descartes-Frenicle-Sorli conjecture on odd perfect numbers. (English) Zbl 1386.11008 Notes Number Theory Discrete Math. 23, No. 2, 12-20 (2017). MSC: 11A25 PDFBibTeX XMLCite \textit{J. A. B. Dris}, Notes Number Theory Discrete Math. 23, No. 2, 12--20 (2017; Zbl 1386.11008) Full Text: arXiv Link
Defant, Colin On 2-powerfully perfect numbers in three quadratic rings. (English) Zbl 1386.11130 Notes Number Theory Discrete Math. 23, No. 2, 1-11 (2017). MSC: 11R11 11A25 PDFBibTeX XMLCite \textit{C. Defant}, Notes Number Theory Discrete Math. 23, No. 2, 1--11 (2017; Zbl 1386.11130) Full Text: arXiv Link
Akın, Arzu; Teckan, Ahmet The integer sequence \(a_n\) and its relationship with Pell, Pell-Lucas and balancing numbers. (English) Zbl 1399.05011 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 46, 275-288 (2017). MSC: 05A19 11B37 11B39 PDFBibTeX XMLCite \textit{A. Akın} and \textit{A. Teckan}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 46, 275--288 (2017; Zbl 1399.05011)
Yamada, Tomohiro Infinitary superperfect numbers. (English) Zbl 1399.11018 Ann. Math. Inform. 47, 211-218 (2017). MSC: 11A25 PDFBibTeX XMLCite \textit{T. Yamada}, Ann. Math. Inform. 47, 211--218 (2017; Zbl 1399.11018) Full Text: arXiv Link
Wettstein, Manuel Trapezoidal diagrams, upward triangulations, and prime Catalan numbers. (English) Zbl 1372.05103 Discrete Comput. Geom. 58, No. 3, 505-525 (2017). MSC: 05C30 05A19 05C70 52C99 PDFBibTeX XMLCite \textit{M. Wettstein}, Discrete Comput. Geom. 58, No. 3, 505--525 (2017; Zbl 1372.05103) Full Text: DOI arXiv