Edit Profile (opens in new tab) Tossavainen, Timo Co-Author Distance Author ID: tossavainen.timo Published as: Tossavainen, Timo; Tossavainen, T. External Links: MGP Documents Indexed: 39 Publications since 2000, including 1 Book and 2 Additional arXiv Preprints Co-Authors: 12 Co-Authors with 31 Joint Publications 147 Co-Co-Authors all top 5 Co-Authors 8 single-authored 22 Haukkanen, Pentti 21 Merikoski, Jorma Kaarlo 7 Mattila, Mika 2 Halmetoja, Markku 2 Nieminen, Tomi 1 Drury, Stephen William 1 Koskela, Pekka 1 Laakso, V. 1 Laurinolli, Teuvo 1 Pehkonen, Erkki 1 Sten, Johan C.-E. 1 Virtanen, Ari all top 5 Serials 5 Journal of Integer Sequences 3 Mathematics Magazine 3 The Mathematical Intelligencer 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Conformal Geometry and Dynamics 2 Journal for Geometry and Graphics 2 JP Journal of Algebra, Number Theory and Applications 1 American Mathematical Monthly 1 Arkhimedes 1 International Journal of Mathematical Education in Science and Technology 1 Applied Mathematics and Computation 1 The Australian Mathematical Society Gazette 1 Bulletin of the London Mathematical Society 1 International Journal of Mathematics and Mathematical Sciences 1 ELA. The Electronic Journal of Linear Algebra 1 Mathematical Communications 1 Mathematical Inequalities & Applications 1 Integers 1 Applied Mathematics E-Notes 1 Annales Academiæ Scientiarum Fennicæ. Mathematica. Dissertationes 1 International Journal of Mathematical Analysis (Ruse) 1 Annales Mathematicae et Informaticae 1 Far East Journal of Mathematical Education 1 Acta Universitatis Sapientiae. Mathematica 1 Special Matrices all top 5 Fields 12 Number theory (11-XX) 9 Mathematics education (97-XX) 8 Real functions (26-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Functions of a complex variable (30-XX) 5 General and overarching topics; collections (00-XX) 5 Geometry (51-XX) 3 Group theory and generalizations (20-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 23 Publications have been cited 71 times in 50 Documents Cited by ▼ Year ▼ A generalization of Descartes rule of signs and fundamental theorem of algebra. Zbl 1247.12002 Haukkanen, Pentti; Tossavainen, Timo 9 2011 On arithmetic partial differential equations. Zbl 1353.11007 Haukkanen, Pentti; Merikoski, Jorma K.; Tossavainen, Timo 6 2016 Perpendicularity in an Abelian group. Zbl 1264.51012 Haukkanen, Pentti; Mattila, Mika; Merikoski, Jorma K.; Tossavainen, Timo 6 2013 Arithmetic subderivatives and Leibniz-additive functions. Zbl 1444.11015 Merikoski, Jorma K.; Haukkanen, Pentti; Tossavainen, Timo 5 2019 On the spectral and Frobenius norm of a generalized Fibonacci \(r\)-circulant matrix. Zbl 1392.15044 Merikoski, Jorma K.; Haukkanen, Pentti; Mattila, Mika; Tossavainen, Timo 5 2018 Two approaches to geometrography. Zbl 1200.51012 Merikoski, Jorma K.; Tossavainen, Timo 4 2010 The lost cousin of the fundamental theorem of algebra. Zbl 1195.00056 Tossavainen, Timo 4 2007 Axiomatizing perpendicularity and parallelism. Zbl 1250.97008 Haukkanen, Pentti; Merikoski, Jorma K.; Tossavainen, Timo 4 2011 Arithmetic subderivatives: discontinuity and continuity. Zbl 1448.11008 Haukkanen, Pentti; Merikoski, Jorma K.; Tossavainen, Timo 3 2019 Boundary behavior of conformal deformations. Zbl 1133.30321 Nieminen, Tomi; Tossavainen, Timo 3 2007 On the zeros of finite sums of exponential functions. Zbl 1092.26001 Tossavainen, Timo 3 2006 Approximation of arithmetical functions by even functions. Zbl 1233.11004 Haukkanen, Pentti; Tossavainen, Timo 3 2008 Maximal perpendicularity in certain abelian groups. Zbl 1376.20058 Mattila, Mika; Merikoski, Jorma K.; Haukkanen, Pentti; Tossavainen, Timo 3 2017 Can the arithmetic derivative be defined on a non-unique factorization domain? Zbl 1353.11006 Haukkanen, Pentti; Mattila, Mika; Merikoski, Jorma K.; Tossavainen, Timo 2 2013 Means and the mean value theorem. Zbl 1297.97019 Merikoski, Jorma K.; Halmetoja, Markku; Tossavainen, Timo 2 2009 Fooling Newton’s method as much as one can. Zbl 1223.65033 Merikoski, Jorma K.; Tossavainen, Timo 2 2009 Asymptotics of partial sums of the Dirichlet series of the arithmetic derivative. Zbl 1476.11126 Haukkanen, Pentti; Merikoski, Jorma K.; Tossavainen, Timo 1 2020 On the connectivity properties of the \(p\)-boundary of the unit ball. Zbl 0948.30025 Tossavainen, Timo 1 2000 On nonnegative matrices with given row and column sums. Zbl 1039.15011 Drury, S. W.; Merikoski, J. K.; Laakso, V.; Tossavainen, T. 1 2003 Conformal boundary and almost open balls. Zbl 1053.30011 Tossavainen, Timo 1 2004 Three kinds of mathematics: scientific mathematics, school mathematics and didactical mathematics. Zbl 1298.97041 Tossavainen, Timo; Pehkonen, Erkki 1 2013 Book review of: Paul Lockhart, A mathematician’s lament: how school cheats us out of our most fascinating and imaginative art form. Zbl 1305.00078 Tossavainen, Timo 1 2014 On direct and inverse proportionality. Zbl 1132.26302 Halmetoja, Markku; Haukkanen, Pentti; Laurinolli, Teuvo; Merikoski, Jorma K.; Tossavainen, Timo; Virtanen, Ari 1 2007 Asymptotics of partial sums of the Dirichlet series of the arithmetic derivative. Zbl 1476.11126 Haukkanen, Pentti; Merikoski, Jorma K.; Tossavainen, Timo 1 2020 Arithmetic subderivatives and Leibniz-additive functions. Zbl 1444.11015 Merikoski, Jorma K.; Haukkanen, Pentti; Tossavainen, Timo 5 2019 Arithmetic subderivatives: discontinuity and continuity. Zbl 1448.11008 Haukkanen, Pentti; Merikoski, Jorma K.; Tossavainen, Timo 3 2019 On the spectral and Frobenius norm of a generalized Fibonacci \(r\)-circulant matrix. Zbl 1392.15044 Merikoski, Jorma K.; Haukkanen, Pentti; Mattila, Mika; Tossavainen, Timo 5 2018 Maximal perpendicularity in certain abelian groups. Zbl 1376.20058 Mattila, Mika; Merikoski, Jorma K.; Haukkanen, Pentti; Tossavainen, Timo 3 2017 On arithmetic partial differential equations. Zbl 1353.11007 Haukkanen, Pentti; Merikoski, Jorma K.; Tossavainen, Timo 6 2016 Book review of: Paul Lockhart, A mathematician’s lament: how school cheats us out of our most fascinating and imaginative art form. Zbl 1305.00078 Tossavainen, Timo 1 2014 Perpendicularity in an Abelian group. Zbl 1264.51012 Haukkanen, Pentti; Mattila, Mika; Merikoski, Jorma K.; Tossavainen, Timo 6 2013 Can the arithmetic derivative be defined on a non-unique factorization domain? Zbl 1353.11006 Haukkanen, Pentti; Mattila, Mika; Merikoski, Jorma K.; Tossavainen, Timo 2 2013 Three kinds of mathematics: scientific mathematics, school mathematics and didactical mathematics. Zbl 1298.97041 Tossavainen, Timo; Pehkonen, Erkki 1 2013 A generalization of Descartes rule of signs and fundamental theorem of algebra. Zbl 1247.12002 Haukkanen, Pentti; Tossavainen, Timo 9 2011 Axiomatizing perpendicularity and parallelism. Zbl 1250.97008 Haukkanen, Pentti; Merikoski, Jorma K.; Tossavainen, Timo 4 2011 Two approaches to geometrography. Zbl 1200.51012 Merikoski, Jorma K.; Tossavainen, Timo 4 2010 Means and the mean value theorem. Zbl 1297.97019 Merikoski, Jorma K.; Halmetoja, Markku; Tossavainen, Timo 2 2009 Fooling Newton’s method as much as one can. Zbl 1223.65033 Merikoski, Jorma K.; Tossavainen, Timo 2 2009 Approximation of arithmetical functions by even functions. Zbl 1233.11004 Haukkanen, Pentti; Tossavainen, Timo 3 2008 The lost cousin of the fundamental theorem of algebra. Zbl 1195.00056 Tossavainen, Timo 4 2007 Boundary behavior of conformal deformations. Zbl 1133.30321 Nieminen, Tomi; Tossavainen, Timo 3 2007 On direct and inverse proportionality. Zbl 1132.26302 Halmetoja, Markku; Haukkanen, Pentti; Laurinolli, Teuvo; Merikoski, Jorma K.; Tossavainen, Timo; Virtanen, Ari 1 2007 On the zeros of finite sums of exponential functions. Zbl 1092.26001 Tossavainen, Timo 3 2006 Conformal boundary and almost open balls. Zbl 1053.30011 Tossavainen, Timo 1 2004 On nonnegative matrices with given row and column sums. Zbl 1039.15011 Drury, S. W.; Merikoski, J. K.; Laakso, V.; Tossavainen, T. 1 2003 On the connectivity properties of the \(p\)-boundary of the unit ball. Zbl 0948.30025 Tossavainen, Timo 1 2000 all cited Publications top 5 cited Publications all top 5 Cited by 70 Authors 12 Tossavainen, Timo 9 Haukkanen, Pentti 8 Merikoski, Jorma Kaarlo 4 Dickson, Stewart 4 Padmasekaran, S. 3 Chatzarakis, George E. 3 Mattila, Mika 3 Nieminen, Tomi 2 Fukson, Sofia Leonidovna 2 Graziani, Pierluigi 2 Hazarika, Bipan 2 Quaresma, Pedro 2 Yaying, Taja 1 Arab, Idir 1 Asti, Giovanni 1 Asti, Laura 1 Baeta, Nuno 1 Banerjee, Soumitro 1 Dağlı, Mehmet 1 Daşbaşı, Bahatdin 1 Doumic, Marie 1 Emmons, Brad A. 1 Fan, Jun 1 Feliu, Elisenda 1 Fellner, Klemens 1 Ferrari, Giorgio 1 Goebbels, Steffen J. 1 Goncharenko, Andrey D. 1 Goncharenko, Irina N. 1 Grimm, Wolfgang Michael 1 Grinshpon, Samuil Yakovlevich 1 Hadjikyriakou, Milto 1 Halmetoja, Markku 1 Hartmann, Lorenz 1 Kolehmainen, Ville 1 Kushnir, Alexey I. 1 Lindner, Marko 1 Ma, Liangang 1 Matoušek, Milan 1 Mezache, Mathieu 1 Murashka, Viachaslau I. 1 Negrea, Romeo 1 Oliveira, Paulo Eduardo 1 Olmez, Oktay 1 Páles, Zsolt 1 Panetsos, Spiros L. 1 Patra, Mahashweta 1 Pták, Pavel 1 Ramos, Higinio 1 Rezaei, Human 1 Roy, Indrava 1 Ruckle, William Henry 1 Santos, Vanda 1 Schuhmann, Patrick 1 Soykan, Yüksel 1 Suganya, V. 1 Tan, Elif 1 Tarasov, Aleksandr S. 1 Taşdemir, Erkan 1 Taşdemir, Tulin Erdoğan 1 Telek, Máté L. 1 Tossavainen, Olli-Pekka 1 Uriarte-Tuero, Ignacio 1 Utev, Sergey 1 Vauhkonen, Marko 1 Vigo-Aguiar, Jesus 1 Williams, Sam 1 Yazar, Tuğrul 1 Zhu, Shihao 1 Zubrickas, Robertas all top 5 Cited in 41 Serials 5 Journal of Integer Sequences 2 Journal of Mathematical Analysis and Applications 2 Chaos, Solitons and Fractals 2 The Mathematical Intelligencer 2 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika 2 Nonautonomous Dynamical Systems 1 Communications in Algebra 1 International Journal of Mathematical Education in Science and Technology 1 Journal d’Analyse Mathématique 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Mathematics Magazine 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 Illinois Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 Journal of Economic Theory 1 Monatshefte für Mathematik 1 Results in Mathematics 1 Insurance Mathematics & Economics 1 Probability and Mathematical Statistics 1 Journal of Symbolic Computation 1 Journal of Automated Reasoning 1 Economics Letters 1 Opuscula Mathematica 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Conformal Geometry and Dynamics 1 Journal for Geometry and Graphics 1 Nexus Network Journal 1 Integers 1 Applied Mathematics E-Notes 1 Journal of Applied Mathematics and Computing 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 The Australian Journal of Mathematical Analysis and Applications 1 Acta Universitatis Sapientiae. Mathematica 1 Afrika Matematika 1 Journal of Theoretical Biology 1 Journal of Mahani Mathematical Research Center 1 Special Matrices all top 5 Cited in 31 Fields 10 Number theory (11-XX) 7 Real functions (26-XX) 5 Group theory and generalizations (20-XX) 5 Ordinary differential equations (34-XX) 5 Geometry (51-XX) 5 Biology and other natural sciences (92-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Sequences, series, summability (40-XX) 4 Numerical analysis (65-XX) 4 Mathematics education (97-XX) 3 Functions of a complex variable (30-XX) 3 Statistics (62-XX) 3 Computer science (68-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Field theory and polynomials (12-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Citations by Year