Kabluchko, Zakhar; Marynych, Alexander Divisibility properties of polynomial expressions of random integers. (English) Zbl 1545.11071 J. Number Theory 259, 357-377 (2024). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K65 11D88 11C08 13F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Heyman, Randell; Tóth, László Estimates for \(k\)-dimensional spherical summations of arithmetic functions of the GCD and LCM. (English) Zbl 07914630 Maier, Helmut (ed.) et al., Number theory in memory of Eduard Wirsing. Cham: Springer. 157-183 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dryło, Robert; Pomykała, Jacek Smooth factors of integers and elliptic curve based factoring with an oracle. (English) Zbl 1540.11174 Grześkowiak, Maciej (ed.) et al., Number-theoretic methods in cryptology, NuTMiC 22. Selected papers based on the presentations at the 3rd conference, Poznań, Poland, August 2022. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 126, 73-88 (2023). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 11Y05 11G07 11A05 03D15 × Cite Format Result Cite Review PDF Full Text: DOI
Kabluchko, Zakhar; Marynych, Alexander; Raschel, Kilian Multivariate multiplicative functions of uniform random vectors in large integer domains. (English) Zbl 1540.11107 Result. Math. 78, No. 5, Paper No. 201, 22 p. (2023). MSC: 11K65 60F05 11N60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Martin, Daniel E. Continued fractions over non-Euclidean imaginary quadratic rings. (English) Zbl 1510.11024 J. Number Theory 243, 688-714 (2023). Reviewer: Mykhaylo Pahirya (Uzhhorod) MSC: 11A55 11J17 11J70 11Y65 11A05 11R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Kui; Lu, Meijie; Meng, Xianchang Generalized visibility of lattice points in higher dimensions. (English) Zbl 1512.11069 J. Number Theory 241, 314-329 (2022). Reviewer: David Lowry-Duda (Providence) MSC: 11N37 11H06 11A05 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Long; Lin, Zongbing; Tan, Qianrong Divisibility properties of power matrices associated with arithmetic functions on a divisor chain. (English) Zbl 1495.11049 Algebra Colloq. 29, No. 3, 527-540 (2022). MSC: 11C20 11A05 11A25 × Cite Format Result Cite Review PDF Full Text: DOI
Somu, Sai Teja; Kukla, Andrzej On some generalizations to floor function identities of Ramanujan. (English) Zbl 1493.11013 Integers 22, Paper A33, 11 p. (2022). MSC: 11A25 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Soundararajan, K. Integral factorial ratios. (English) Zbl 1506.11006 Duke Math. J. 171, No. 3, 633-672 (2022). MSC: 11A05 11B75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yamada, Tomohiro On a problem of De Koninck. (English) Zbl 1483.11007 Mosc. J. Comb. Number Theory 10, No. 3, 249-260 (2021); correction 10, No. 4, 339 (2021). MSC: 11A25 05C20 11A05 11A41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
Cheng, Yen-Jen; Fu, Hung-Lin; Liu, Chia-An The integer \(\{k\}\)-domination number of circulant graphs. (English) Zbl 1457.05076 Discrete Math. Algorithms Appl. 12, No. 4, Article ID 2050055, 9 p. (2020). MSC: 05C69 11A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Srikanth, Ch. Certain sequence of arithmetic progressions and a new key sharing method. (English) Zbl 1454.11225 Cryptogr. Commun. 12, No. 3, 597-612 (2020). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11Y11 11A05 11B25 11T71 11Y16 94A60 × Cite Format Result Cite Review PDF Full Text: DOI
Bousla, Sid Ali; Farhi, Bakir Nontrivial effective lower bounds for the least common multiple of some quadratic sequences. (English) Zbl 1448.11005 J. Integer Seq. 23, No. 6, Article 20.6.6, 18 p. (2020). MSC: 11A05 11B83 13F20 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Wang, Yinghui; Stanley, Richard P. The Smith normal form distribution of a random integer matrix. (English. French summary) Zbl 1441.15022 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., 1111-1122 (2020). MSC: 15B36 15A21 × Cite Format Result Cite Review PDF Full Text: Link
Farhi, Bakir On the derivatives of the integer-valued polynomials. (English) Zbl 1454.13029 Funct. Approximatio, Comment. Math. 61, No. 2, 227-241 (2019). Reviewer: Cristodor-Paul Ionescu (Bucureşti) MSC: 13F20 11A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Richman, David Ross A sum involving the greatest-integer function. (English) Zbl 1461.11015 Integers 19, Paper A42, 16 p. (2019). MSC: 11A25 26D15 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Lauritzen, Niels; Funch Thomsen, Jesper A Euclidean algorithm for integer matrices. (English) Zbl 1423.15031 Am. Math. Mon. 126, No. 8, 699 (2019). Reviewer: Yansheng Wu (Nanjing) MSC: 15B36 11A05 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Yong; Chen, Jingwei; Wu, Wenyuan The PSLQ algorithm for empirical data. (English) Zbl 1468.11245 Math. Comput. 88, No. 317, 1479-1501 (2019). MSC: 11Y16 11A05 68-04 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ait Dads, E.; Lhachimi, L. Pseudo almost periodic solutions for continuous algebraic difference equations. (English) Zbl 1497.39002 J. Nonlinear Evol. Equ. Appl. 2018, 57-74 (2018). MSC: 39A13 34C27 × Cite Format Result Cite Review PDF Full Text: Link
Zhukov, K. D. Approximate common divisor problem and lattice sieving. (English) Zbl 1475.94175 Mat. Vopr. Kriptografii 9, No. 2, 87-98 (2018). MSC: 94A60 11J70 11A05 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Leonetti, Paolo; Tringali, Salvatore On the number of distinct prime factors of a sum of super-powers. (English) Zbl 1444.11007 J. Number Theory 186, 226-237 (2018). MSC: 11A05 11A41 11A51 11R27 11D99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hong, Siao; Lin, Zongbing New results on the value of a certain arithmetical determinant. (English) Zbl 1438.11074 Publ. Math. Debr. 93, No. 1-2, 171-187 (2018). MSC: 11C20 11A05 11A25 15B36 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Zongbing; Hong, Siao More on a certain arithmetical determinant. (English) Zbl 1432.11030 Bull. Aust. Math. Soc. 97, No. 1, 15-25 (2018). MSC: 11C20 11A05 15B36 × Cite Format Result Cite Review PDF Full Text: DOI
Yuan, Xiaodan; Luo, Jiagui On the Diophantine equation \(\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=\frac{1}{3p}\). (English) Zbl 1425.11061 AIMS Math. 2, No. 1, 111-127 (2017). MSC: 11D68 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yinghui; Stanley, Richard P. The Smith normal form distribution of a random integer matrix. (English) Zbl 1372.05006 SIAM J. Discrete Math. 31, No. 3, 2247-2268 (2017). MSC: 05A05 11C20 15A21 60B20 11C08 15B33 11A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Caragiu, Mihai Sequential experiments with primes. (English) Zbl 1398.11002 Cham: Springer (ISBN 978-3-319-56761-7/hbk; 978-3-319-56762-4/ebook). xi, 279 p. (2017). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11-02 11Y55 11N05 11Y11 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Xin; Li, Xiaoxue A reciprocal sum related to the Riemann \(\zeta\)-function. (English) Zbl 1427.11079 J. Math. Inequal. 11, No. 1, 209-215 (2017). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11M06 11B83 × Cite Format Result Cite Review PDF Full Text: DOI
Hong, S.; Hu, S.; Lin, Zong Bing On a certain arithmetical determinant. (English) Zbl 1399.11082 Acta Math. Hung. 150, No. 2, 372-382 (2016). MSC: 11C20 11A05 11B25 × Cite Format Result Cite Review PDF Full Text: DOI
Cetin, Elif A note on Hardy type sums and Dedekind sums. (English) Zbl 1456.11059 Filomat 30, No. 4, 977-983 (2016). MSC: 11F20 11C08 11B39 × Cite Format Result Cite Review PDF Full Text: DOI
Caragiu, Mihai; Vicol, Paul A. Prime magmas and a cyclicity conjecture. (English) Zbl 1396.11144 JP J. Algebra Number Theory Appl. 38, No. 2, 129-143 (2016). MSC: 11Y55 11A41 11B83 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bradley, Tai-Danae; Cheng, Yin Choi; Luo, Yan Fei On the distribution of the greatest common divisor of Gaussian integers. (English) Zbl 1330.11058 Involve 9, No. 1, 27-40 (2016). Reviewer: Giovanni Coppola (Avellino) MSC: 11N37 11A05 11K65 60E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dhumal, B. R.; Shirke, D. T. A modified one-sample test for goodness-of-fit. (English) Zbl 1457.62131 J. Stat. Comput. Simulation 85, No. 2, 422-429 (2015). MSC: 62G10 × Cite Format Result Cite Review PDF Full Text: DOI
Breuer, Felix An invitation to Ehrhart theory: polyhedral geometry and its applications in enumerative combinatorics. (English) Zbl 1437.52010 Gutierrez, Jaime (ed.) et al., Computer algebra and polynomials. Applications of algebra and number theory. Berlin: Springer. Lect. Notes Comput. Sci. 8942, 1-29 (2015). MSC: 52B20 13M10 11C08 05A17 90C05 90C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Delorme, Charles; Pineda-Villavicencio, Guillermo Quadratic form representations via generalized continuants. (English) Zbl 1378.11049 J. Integer Seq. 18, No. 6, Article 15.6.4, 22 p. (2015). MSC: 11E25 11D85 11A05 13F07 × Cite Format Result Cite Review PDF Full Text: arXiv EMIS
Hyatt, Matthew; Skyers, Marina On the increases of the sequence \(\lfloor k\sqrt n \rfloor\). (English) Zbl 1335.11017 Integers 15, Paper A17, 12 p. (2015). Reviewer: Štefan Porubský (Praha) MSC: 11B83 11A25 × Cite Format Result Cite Review PDF Full Text: EMIS
Cetin, Elif; Simsek, Yilmaz; Cangul, Ismail Naci Some special finite sums related to the three-term polynomial relations and their applications. (English) Zbl 1417.11038 Adv. Difference Equ. 2014, Paper No. 283, 18 p. (2014). MSC: 11F20 11C08 × Cite Format Result Cite Review PDF Full Text: DOI
Bazzanella, D. A note on integer polynomials with small integrals. (English) Zbl 1291.11062 Acta Math. Hung. 141, No. 4, 320-328 (2013). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11C08 11A05 11A41 × Cite Format Result Cite Review PDF Full Text: DOI Link
Caragiu, Mihai; Zaharescu, Alexandru; Zaki, Mohammad An analogue of the Proth-Gilbreath conjecture. (English) Zbl 1287.11009 Far East J. Math. Sci. (FJMS) 81, No. 1, 1-12 (2013). MSC: 11A41 11B37 × Cite Format Result Cite Review PDF Full Text: Link
Berndt, Bruce C.; Kim, Sun A problem in Diophantine approximation found in Ramanujan’s lost notebook. (English) Zbl 1329.11073 Ramanujan J. 31, No. 1-2, 83-95 (2013). MSC: 11J68 11J25 × Cite Format Result Cite Review PDF Full Text: DOI
Lakshminarayanan, E. S.; Rammohan, R. A perspective on Collatz \(3x+1\) conjecture. I. (English) Zbl 1352.11004 Int. Electron. J. Pure Appl. Math. 5, No. 4, 127-133 (2012). MSC: 11A05 11Y55 11B83 × Cite Format Result Cite Review PDF Full Text: Link
Castillo, John H.; García-Pulgarín, Gilberto; Velásquez-Soto, Juan Miguel Structure of associated sets to Midy’s property. (English) Zbl 1348.11001 Mat., Enseñ. Univ. (N.S.) 20, No. 1, 21-28 (2012). MSC: 11A05 11A07 11A15 11A63 16U60 × Cite Format Result Cite Review PDF Full Text: arXiv
Leyendekkers, J. V.; Shannon, A. G. Odd-powered triples and Pellian sequences. (English) Zbl 1292.11005 Notes Number Theory Discrete Math. 18, No. 3, 8-12 (2012). MSC: 11A05 × Cite Format Result Cite Review PDF Full Text: Link
Jakimczuk, Rafael A note on all possible factorizations of a positive integer. (English) Zbl 1244.11005 Int. Math. Forum 6, No. 33-36, 1639-1643 (2011). MSC: 11A05 × Cite Format Result Cite Review PDF Full Text: Link
Darling, R. W. R.; Pyle, E. E. Maximum GCD among pairs of random integers. (English) Zbl 1239.11087 Integers 11, No. 2, 93-105, A6 (2011). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11K99 11N80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Skula, Ladislav Realization and GCD-existence theorem for generalized polynomials. (English) Zbl 1265.13022 Math. Slovaca 60, No. 6, 811-822 (2010). MSC: 13F20 × Cite Format Result Cite Review PDF Full Text: DOI
Ali, Majid M. Generalized gcd rings. III. (English) Zbl 1245.13003 Beitr. Algebra Geom. 51, No. 2, 531-546 (2010). MSC: 13A15 13F20 × Cite Format Result Cite Review PDF Full Text: EMIS
Skula, Ladislav Special isomorphisms of \(F[x_{1},\ldots ,x_{n}]\) preserving GCD and their use. (English) Zbl 1224.13024 Czech. Math. J. 59, No. 3, 759-771 (2009). MSC: 13F20 13A05 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Liu, Ming-Hong; Ubhaya, Vasant A. An \(O(n)\) algorithm for weighted least squares regression by integer quasi-convex and unimodal or umbrella functions. (English) Zbl 1189.62118 Comput. Math. Appl. 58, No. 4, 776-783 (2009). MSC: 62J99 65C60 × Cite Format Result Cite Review PDF Full Text: DOI
Shang, Songye An equation involving the Gauss rounding function and its all real number solutions. (Chinese. English summary) Zbl 1199.11023 J. Zhengzhou Univ., Nat. Sci. Ed. 40, No. 4, 17-19 (2008). MSC: 11A25 × Cite Format Result Cite Review PDF
Sedjelmaci, Sidi Mohamed A parallel extended GCD algorithm. (English) Zbl 1193.11118 J. Discrete Algorithms 6, No. 3, 526-538 (2008). Reviewer: Michael J. Jacobson jun. (Calgary) MSC: 11Y16 11A05 68W10 68Q25 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Xiaolin; He, Junyang Problem of the smallest positive integer related to Gaussian integers. (Chinese. English summary) Zbl 1174.11405 Pure Appl. Math. 24, No. 1, 45-48 (2008). MSC: 11R04 11R09 × Cite Format Result Cite Review PDF
Sedjelmaci, Sidi Mohamed Jebelean-Weber’s algorithm without spurious factors. (English) Zbl 1184.68665 Inf. Process. Lett. 102, No. 6, 247-252 (2007). MSC: 11Y16 11A05 68W40 68W10 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Nan; Chen, Sheng On the Ring of Integer-valued Quasi-polynomials. arXiv:0706.4288 Preprint, arXiv:0706.4288 [math.NT] (2007). MSC: 11A05 13F20 05A15 × Cite Format Result Cite Full Text: arXiv
van den Dries, Lou On explicit definability in arithmetic. (English) Zbl 1107.03042 Enayat, Ali (ed.) et al., Logic in Tehran. Proceedings of the workshop and conference on logic, algebra and arithmetic, Tehran, Iran, October 18–22, 2003. Wellesley, MA: AK Peters (ISBN 1-56881-296-5/pbk; 1-56881-295-7/hbk). Lecture Notes in Logic 26, 65-86 (2006). MSC: 03C98 03D15 11A05 11U09 × Cite Format Result Cite Review PDF
Stefanovski, Jovan Spectral factorization of non-symmetric polynomial matrices. (English) Zbl 1089.15024 Linear Algebra Appl. 412, No. 2-3, 412-440 (2006). Reviewer: Fuad Kittaneh (Amman) MSC: 15A54 15A18 11A05 15A22 11C20 × Cite Format Result Cite Review PDF Full Text: DOI
Nyandwi, Servat Mean value of Piltz’ function over integers free of large prime factors. (English) Zbl 1085.11045 Publ. Inst. Math., Nouv. Sér. 74(88), 37-56 (2003). Reviewer: Aleksandar Ivić (Beograd) MSC: 11N25 11N37 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Broughan, Kevin A. Relationships between the integer conductor and \(k\)-th root functions. (English) Zbl 1136.11322 Int. J. Pure Appl. Math. 5, No. 3, 253-275 (2003). Reviewer: Ramūnas Garunkštis (Vilnius) MSC: 11N37 11A05 11A25 11M06 × Cite Format Result Cite Review PDF
Diaz-Toca, Gema M.; Gonzalez-Vega, Laureano Barnett’s theorems about the greatest common divisor of several univariate polynomials through Bezout-like matrices. (English) Zbl 1026.13010 J. Symb. Comput. 34, No. 1, 59-81 (2002). Reviewer: Doru Ştefănescu (Bucureşti) MSC: 13P05 13F20 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Oka, Satomi On the common divisor of discriminants of integers. (English) Zbl 1011.11066 Tsukuba J. Math. 26, No. 1, 69-78 (2002). Reviewer: Arturas Dubickas (Vilnius) MSC: 11R04 11R29 × Cite Format Result Cite Review PDF Full Text: DOI
Živković, Miodrag Massive computation as a problem solving tool. (English) Zbl 0999.11079 Proceedings of the 10th congress of Yugoslav mathematicians, Belgrade, Yugoslavia, January 21-24, 2001. Belgrade: University of Belgrade, Faculty of Mathematics. 113-128 (2001). Reviewer: Aleksandar Ivić (Beograd) MSC: 11Y55 11B65 11A05 11-04 × Cite Format Result Cite Review PDF
Nazarenko, M. O.; Mitin, D. Yu. Some aspects of theory and practice of functions: greatest integer and mantissa. (Ukrainian) Zbl 1049.26501 Sviti Mat. 5, No. 3, 39-49 (1999). Reviewer: A. Ya. Olenko (Kyïv) MSC: 26A09 26-01 × Cite Format Result Cite Review PDF
Gonzalez-Vega, Laureano; Gonzalez-Campos, Neila Simultaneous elimination by using several tools from real algebraic geometry. (English) Zbl 0952.14043 J. Symb. Comput. 28, No. 1-2, 89-103 (1999). Reviewer: Manuel Ladra Gonzalez (Santiago) MSC: 14Q20 65H10 14P99 13F20 13P10 68W30 68U07 × Cite Format Result Cite Review PDF Full Text: DOI
Ferguson, Helaman R. P.; Bailey, David H.; Arno, Steve Analysis of PSLQ, an integer relation finding algorithm. (English) Zbl 0927.11055 Math. Comput. 68, No. 225, 351-369 (1999). Reviewer: Roland Girgensohn (Neuherberg) MSC: 11Y16 68W30 11A05 68Q25 × Cite Format Result Cite Review PDF Full Text: DOI
Ritter, Stefan Matthias On a linear diophantine problem of Frobenius: Extending the basis. (English) Zbl 0906.11016 J. Number Theory 69, No. 2, 201-212 (1998). Reviewer: J.Piehler (Merseburg) MSC: 11D04 11B75 × Cite Format Result Cite Review PDF Full Text: DOI
Shallcross, D. F.; Pan, V. Y.; Lin-Kriz, Y. Planar integer linear programming is NC equivalent to Euclidean GCD. (English) Zbl 0911.68059 SIAM J. Comput. 27, No. 4, 960-971 (1998). MSC: 68Q15 03D15 68W15 × Cite Format Result Cite Review PDF Full Text: DOI
Sedjelmaci, Mohamed S.; Lavault, Christian Improvements on the accelerated integer GCD algorithm. (English) Zbl 1338.11107 Inf. Process. Lett. 61, No. 1, 31-36 (1997). MSC: 11Y16 68W10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Gemignani, Luca GCD of polynomials and Bézout matrices. (English) Zbl 0919.65006 Küchlin, Wolfgang W. (ed.), Proceedings of the 1997 international symposium on symbolic and algebraic computation, ISSAC ’97, Maui, HI, USA, July 21–23, 1997. New York, NY: ACM Press. 271-277 (1997). MSC: 65D20 65H05 12Y05 13P10 68W30 × Cite Format Result Cite Review PDF
Loper, K. Alan Ideals of integer-valued polynomial rings. (English) Zbl 0896.13015 Commun. Algebra 25, No. 3, 833-845 (1997). Reviewer: K.P.Johnson (Halifax) MSC: 13F20 13A15 11A05 × Cite Format Result Cite Review PDF Full Text: DOI
Sander, J. W. On the value distribution of arithmetic functions. (English) Zbl 0932.11062 J. Number Theory 66, No. 1, 51-69 (1997). Reviewer: Štefan Porubský (Praha) MSC: 11N64 11A05 × Cite Format Result Cite Review PDF Full Text: DOI
Chabert, Jean-Luc; Chapman, Scott T.; Smith, William W. Algebraic properties of the ring of integer-valued polynomials on prime numbers. (English) Zbl 0896.13016 Commun. Algebra 25, No. 6, 1945-1959 (1997). Reviewer: K.P.Johnson (Halifax) MSC: 13F20 13G05 11A05 × Cite Format Result Cite Review PDF Full Text: DOI
Weber, Kenneth Parallel implementation of the accelerated integer GCD algorithm. (English) Zbl 0865.68053 J. Symb. Comput. 21, No. 4-6, 457-466 (1996). MSC: 68W10 × Cite Format Result Cite Review PDF Full Text: DOI
Györy, K.; Sárközy, A.; Stewart, C. L. On the number of prime factors of integers of the form \(ab+1\). (English) Zbl 0857.11047 Acta Arith. 74, No. 4, 365-385 (1996). Reviewer: I.Gaál (Debrecen) MSC: 11N25 11B75 11N36 × Cite Format Result Cite Review PDF Full Text: DOI
Bicknell-Johnson, Marjorie; Englund, David A. Greatest integer identities for generalized Fibonacci sequences \(\{H_ n\}\), where \(H_ n=H_{n-1}+H_{n-2}\). (English) Zbl 0826.11010 Fibonacci Q. 33, No. 1, 50-58 (1995). Reviewer: K.Atanassov (Sofia) MSC: 11B39 11B37 11Y55 × Cite Format Result Cite Review PDF
Majewski, Bohdan S.; Havas, George A solution to the extended GCD problem. (English) Zbl 0944.11040 Levelt, A. H. M. (ed.), Proceedings of the 1995 international symposium on symbolic and algebraic computation, ISSAC ’95, Montreal, Canada, July 10-12, 1995. New York, NY: ACM Press. 248-253 (1995). Reviewer: J.Sorenson (Indianapolis) MSC: 11Y16 68W30 × Cite Format Result Cite Review PDF
Onn, Shmuel; Sturmfels, Bernd A quantitative Steinitz’ theorem. (English) Zbl 0806.52009 Beitr. Algebra Geom. 35, No. 1, 125-129 (1994). MSC: 52B10 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
McDaniel, Wayne L. On the greatest integer function and Lucas sequences. (English) Zbl 0810.11012 Fibonacci Q. 32, No. 4, 297-300 (1994). Reviewer: P.Haukkanen (Tampere) MSC: 11B39 × Cite Format Result Cite Review PDF
Gupta, S. K.; Punnen, A. P. Minmax linear knapsack problem with grouped variables and GUB constraints. (English) Zbl 0818.90080 Optimization 28, No. 1, 85-94 (1993). MSC: 90C10 90C08 × Cite Format Result Cite Review PDF Full Text: DOI
Brown, Tom C. Descriptions of the characteristic sequence of an irrational. (English) Zbl 0804.11021 Can. Math. Bull. 36, No. 1, 15-21 (1993). Reviewer: Š.Porubský (Praha) MSC: 11B83 × Cite Format Result Cite Review PDF Full Text: DOI
Gu, Jiande; Yu, Yuanhong On the stability and boundedness for a class of second order differential equations. (Chinese. English summary) Zbl 0788.34074 J. Xiamen Univ., Nat. Sci. 32, No. 5, 533-536 (1993). MSC: 34K20 34K99 34C11 × Cite Format Result Cite Review PDF
Zhang, Fengqin Boundary value problems for second order differential equations with piecewise constant arguments. (English) Zbl 0782.34075 Ann. Differ. Equations 9, No. 3, 369-374 (1993). MSC: 34K10 34K99 × Cite Format Result Cite Review PDF
Karydas, Nicholas; Schinas, John Existence and uniqueness of solutions of second order NEPCA. (English) Zbl 0782.34069 Ann. Differ. Equations 9, No. 3, 263-269 (1993). MSC: 34K05 34K99 34K20 34K40 × Cite Format Result Cite Review PDF
Kalkbrener, Michael A generalized Euclidean algorithm for computing triangular representations of algebraic varieties. (English) Zbl 0783.14039 J. Symb. Comput. 15, No. 2, 143-167 (1993). MSC: 14Q99 13F20 13P05 14A10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Borwein, J. M.; Borwein, P. B. On the generating function of the integer part: \([n\alpha{}+ \gamma{}]\). (English) Zbl 0778.11039 J. Number Theory 43, No. 3, 293-318 (1993). Reviewer: J.H.Loxton (North Ryde) MSC: 11J91 11J20 11J70 11B25 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Fengqin Oscillatory and limit boundary value problems of differential equations with a piecewise constant argument. (English) Zbl 0765.34054 Ann. Differ. Equations 8, No. 3, 384-390 (1992). Reviewer: V.Sree Hari Rao (Hyderabad) MSC: 34K99 34K10 34C10 × Cite Format Result Cite Review PDF
Dove, Kevin L.; Sumner, John S. Tetrahedra with integer edges and integer volume. (English) Zbl 0780.11001 Math. Mag. 65, No. 2, 104-111 (1992). Reviewer: R.F.Tichy (Graz) MSC: 11A05 11A99 × Cite Format Result Cite Review PDF Full Text: DOI
Okikiolu, G. O. Higher order integer transformations with recurrent iterate terms. (English) Zbl 0734.11007 Bull. Math. 42, 1-34 (1991). MSC: 11A63 11B37 11A05 × Cite Format Result Cite Review PDF
Chow, Timothy A new characterization of the Fibonacci-free partition. (English) Zbl 0729.11048 Fibonacci Q. 29, No. 2, 174-180 (1991). Reviewer: K.Alladi (Gainesville) MSC: 11P81 11B39 11B34 11B83 × Cite Format Result Cite Review PDF
Brown, Tom C.; Freedman, Allen R. Some sequences associated with the golden ratio. (English) Zbl 0729.11013 Fibonacci Q. 29, No. 2, 157-159 (1991). Reviewer: L.Tóth (Cluj) MSC: 11B83 × Cite Format Result Cite Review PDF
Bhargava, S.; Adiga, Chandrashekar; Somashekara, D. D. An estimate of Ramanujan related to the greatest integer function. (English) Zbl 0722.11003 Bull. Aust. Math. Soc. 44, No. 1, 149-154 (1991). Reviewer: K.Atanassov (Sofia) MSC: 11A25 × Cite Format Result Cite Review PDF Full Text: DOI
Brown, T. C. A characterization of the quadratic irrationals. (English) Zbl 0688.10007 Can. Math. Bull. 34, No. 1, 36-41 (1991). Reviewer: T.C.Brown MSC: 11A55 11B83 × Cite Format Result Cite Review PDF Full Text: DOI
Naccache de Paz, David; M’silti, Halim A new modulo computation algorithm. (English) Zbl 0798.65021 RAIRO, Rech. Opér. 24, No. 3, 307-313 (1990). MSC: 65D20 11A05 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Alsina, Claudi On some functional equations related to Beatty complementary sequences. (English) Zbl 0729.11014 Serdica 16, No. 3-4, 270-272 (1990). Reviewer: Št.Porubský (Bratislava) MSC: 11B83 × Cite Format Result Cite Review PDF
van Ravenstein, Tony; Winley, Graham; Tognetti, Keith Characteristics and the three gap theorem. (English) Zbl 0709.11011 Fibonacci Q. 28, No. 3, 204-214 (1990). Reviewer: Ian Anderson (Glasgow) MSC: 11K06 11A55 11B83 × Cite Format Result Cite Review PDF Full Text: Link
Neaderhouser Purdy, Carla; Purdy, George B. The area-time complexity of the greatest common divisor problem: A lower bound. (English) Zbl 0695.68044 Inf. Process. Lett. 34, No. 1, 43-46 (1990). MSC: 68Q25 68Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Tolev, D. I. On the number of divisors of \([n^ c]\). (Russian) Zbl 0701.11034 C. R. Acad. Bulg. Sci. 42, No. 12, 49-50 (1989). Reviewer: G.Kolesnik MSC: 11N25 11N37 11L07 × Cite Format Result Cite Review PDF
Hoehn, Larry; Ridenhour, Jim Summations involving computer-related functions. (English) Zbl 0695.10003 Math. Mag. 62, No. 3, 191-196 (1989). Reviewer: G.Lord MSC: 11A25 × Cite Format Result Cite Review PDF Full Text: DOI
Gröger, Detlef Zur Division mit Rest auf Gleitkommarechnern. (Division with remainder on floating point computers). (German) Zbl 0682.10003 Math. Semesterber. 36, No. 1, 106-111 (1989). Reviewer: J.Piehler MSC: 11A63 65G30 11A05 × Cite Format Result Cite Review PDF
Norton, Graham A shift-remainder gcd algorithm. (English) Zbl 0677.10001 Applied algebra, algebraic algorithms and error-correcting codes, Proc. 5th Int. Conference, AAECC-5, Menorca/Spain 1987, Lect. Notes Comput. Sci. 356, 350-356 (1989). Reviewer: H.J.Godwin MSC: 11-04 68Q25 11A05 × Cite Format Result Cite Review PDF
Akritas, Alkiviadis G. Exact algorithms for the matrix-triangularization subresultant prs method. (English) Zbl 0669.65031 Computers and mathematics, Proc. Conf., Cambridge/Mass. 1989, 145-155 (1989). MSC: 65F30 12D05 11R09 × Cite Format Result Cite Review PDF