Edit Profile (opens in new tab) Haukkanen, Pentti Co-Author Distance Author ID: haukkanen.pentti Published as: Haukkanen, Pentti; Haukkanen, P. Documents Indexed: 152 Publications since 1987, including 4 Additional arXiv Preprints Reviewing Activity: 360 Reviews Co-Authors: 28 Co-Authors with 78 Joint Publications 318 Co-Co-Authors all top 5 Co-Authors 74 single-authored 24 Merikoski, Jorma Kaarlo 22 Tossavainen, Timo 19 Mattila, Mika 9 Korkee, Ismo 7 Tóth, László 5 Sillanpää, Juha 4 Ilmonen, Pauliina 4 Wang, Jun 3 Mäntysalo, Jori 3 Sivaramakrishnan, R. 2 Altinisik, Ercan 2 McCarthy, Paul J. 2 Nalli, Ayse 2 Rutkowski, Jerzy H. 2 Tuglu, Naim 1 Ernvall-Hytönen, Anne-Maria 1 Halmetoja, Markku 1 Kaarnioja, Vesa 1 Kilic, Emrah 1 Kovačec, Alexander 1 Laurinolli, Teuvo 1 Matomäki, Kaisa 1 Mustonen, Seppo 1 Ruokonen, P. 1 Schwab, Emil Daniel 1 Sitaramaiah, Varanasi 1 Tasci, Dursun 1 Virtanen, Ari all top 5 Serials 11 The Fibonacci Quarterly 9 Linear Algebra and its Applications 7 Linear and Multilinear Algebra 7 Portugaliae Mathematica 7 Aequationes Mathematicae 6 International Journal of Mathematics and Mathematical Sciences 6 The Mathematics Student 5 Nieuw Archief voor Wiskunde. Vierde Serie 5 Journal of Integer Sequences 4 JP Journal of Algebra, Number Theory and Applications 3 Discrete Mathematics 3 Indian Journal of Mathematics 3 Publicationes Mathematicae Debrecen 3 Journal of Mathematical Research & Exposition 3 East-West Journal of Mathematics 3 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 3 International Journal of Number Theory 3 Acta Universitatis Sapientiae. Mathematica 3 Special Matrices 2 Ars Combinatoria 2 Collectanea Mathematica 2 Journal of Algebra 2 Journal of Combinatorial Theory. Series A 2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 2 Mathematica 2 Notes on Number Theory and Discrete Mathematics 1 American Mathematical Monthly 1 Arkhimedes 1 Discrete Applied Mathematics 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Mathematics Magazine 1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 1 Applied Mathematics and Computation 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Functiones et Approximatio. Commentarii Mathematici 1 The Journal of the Indian Mathematical Society. New Series 1 Monatshefte für Mathematik 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Tsukuba Journal of Mathematics 1 Bulletin de la Société Matheḿatique de Belgique. Série B 1 Bulletin of the Allahabad Mathematical Society 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Octogon 1 Discussiones Mathematicae. Algebra and Stochastic Methods 1 Analele Universității din Timișoara. Seria Matematică-Informatică 1 Mathematical Communications 1 The Ramanujan Journal 1 Journal of Inequalities and Applications 1 Analele Universității din Oradea. Fascicola Matematică 1 Buletinul Științific al Universității Politehnica din Timișoara. Seria Matematică-Fizică 1 Journal for Geometry and Graphics 1 Mathematical Inequalities & Applications 1 Integers 1 Nieuw Archief voor Wiskunde. Vijfde Serie 1 Applied Mathematics E-Notes 1 Annales Academiæ Scientiarum Fennicæ. Series A I. Mathematica. Dissertationes 1 International Journal of Mathematical Analysis (Ruse) 1 Annales Mathematicae et Informaticae 1 Indian Journal of Mathematics and Mathematical Sciences 1 Far East Journal of Mathematical Education 1 Journal of Combinatorics and Number Theory all top 5 Fields 132 Number theory (11-XX) 43 Linear and multilinear algebra; matrix theory (15-XX) 16 Order, lattices, ordered algebraic structures (06-XX) 12 Combinatorics (05-XX) 5 Real functions (26-XX) 5 Geometry (51-XX) 5 Information and communication theory, circuits (94-XX) 4 Group theory and generalizations (20-XX) 4 Mathematics education (97-XX) 3 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 94 Publications have been cited 515 times in 239 Documents Cited by ▼ Year ▼ On Smith’s determinant. Zbl 0883.15002 Haukkanen, Pentti; Wang, Jun; Sillanpää, Juha 41 1997 On generalized Fibonacci and Lucas polynomials. Zbl 1198.11017 Nalli, Ayse; Haukkanen, Pentti 33 2009 On meet and join matrices associated with incidence functions. Zbl 1036.06005 Korkee, Ismo; Haukkanen, Pentti 28 2003 On meet matrices on posets. Zbl 0870.15016 Haukkanen, Pentti 26 1996 Higher-dimensional gcd matrices. Zbl 0749.15013 Haukkanen, Pentti 19 1992 Menon’s identity with respect to a generalized divisibility relation. Zbl 1207.11011 Haukkanen, Pentti 17 2005 A generalization of Menon’s identity with respect to a set of polynomials. Zbl 0856.11006 Haukkanen, P.; Wang, J. 16 1996 On eigenvalues of meet and join matrices associated with incidence functions. Zbl 1143.15016 Ilmonen, Pauliina; Haukkanen, Pentti; Merikoski, Jorma K. 13 2008 Bounds for determinants of meet matrices associated with incidence functions. Zbl 0991.15011 Korkee, Ismo; Haukkanen, Pentti 12 2001 The discrete Fourier transform of \(r\)-even functions. Zbl 1262.11005 Tóth, László; Haukkanen, Pentti 11 2011 Notes on the divisibility of GCD and LCM matrices. Zbl 1077.11019 Haukkanen, Pentti; Korkee, Ismo 11 2005 On the divisibility of meet and join matrices. Zbl 1157.11009 Korkee, Ismo; Haukkanen, Pentti 11 2008 On the positive definiteness and eigenvalues of meet and join matrices. Zbl 1290.15022 Mattila, Mika; Haukkanen, Pentti 11 2014 High degree analogs of Menon’s identity. Zbl 0896.11002 Haukkanen, Pentti; Wang, Jun 10 1997 Classical arithmetical identities involving a generalization of Ramanujan’s sum. Zbl 0651.10005 Haukkanen, Pentti 9 1988 Determinant and inverse of meet and join matrices. Zbl 1144.15001 Altinisik, Ercan; Tuglu, Naim; Haukkanen, Pentti 9 2007 Some analogues of Smith’s determinant. Zbl 0869.15005 Haukkanen, Pentti; Sillanpää, Juha 9 1996 Some characterizations of totients. Zbl 0846.11005 Haukkanen, Pentti 8 1996 A generalization of Descartes rule of signs and fundamental theorem of algebra. Zbl 1247.12002 Haukkanen, Pentti; Tossavainen, Timo 8 2011 On the generalized Lucas sequences by Hessenberg matrices. Zbl 1249.11023 Kiliç, E.; Tasci, D.; Haukkanen, P. 8 2010 On the real powers of completely multiplicative arithmetical functions. Zbl 0928.11005 Haukkanen, Pentti 8 1997 On the eigenvalues of certain number-theoretic matrices. Zbl 1275.15012 Mattila, Mika; Haukkanen, Pentti 8 2012 Studying the various properties of MIN and MAX matrices – elementary vs. more advanced methods. Zbl 1338.15076 Mattila, Mika; Haukkanen, Pentti 7 2016 On a gcd-sum function. Zbl 1243.11004 Haukkanen, Pentti 6 2008 A note on bounds for norms of reciprocal LCM matrix. Zbl 1077.11018 Altinisik, Ercan; Tuglu, Naim; Haukkanen, Pentti 6 2004 Sums of values of even functions. Zbl 0725.11002 Haukkanen, Pentti; McCarthy, P. J. 6 1991 On arithmetic partial differential equations. Zbl 1353.11007 Haukkanen, Pentti; Merikoski, Jorma K.; Tossavainen, Timo 6 2016 A unique factorization in commutative Möbius monoids. Zbl 1154.20050 Schwab, Emil Daniel; Haukkanen, Pentti 6 2008 Perpendicularity in an Abelian group. Zbl 1264.51012 Haukkanen, Pentti; Mattila, Mika; Merikoski, Jorma K.; Tossavainen, Timo 6 2013 Determinant and inverse of join matrices on two sets. Zbl 1281.15036 Mattila, Mika; Haukkanen, Pentti 6 2013 On meet matrices with respect to reduced extended and exchanged sets. Zbl 1083.15014 Korkee, Ismo; Haukkanen, Pentti 5 2004 An upper bound for the \(\ell_p\) norm of a gcd-related matrix. Zbl 1096.15009 Haukkanen, Pentti 5 2006 Studying the singularity of LCM-type matrices via semilattice structures and their Möbius functions. Zbl 1343.11037 Haukkanen, Pentti; Mattila, Mika; Mäntysalo, Jori 5 2015 On unitary analogs of GCD reciprocal LCM matrices. Zbl 1231.11032 Haukkanen, Pentti; Ilmonen, Pauliina; Nalli, Ayse; Sillanpää, Juha 5 2010 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 Axiomatizing perpendicularity and parallelism. Zbl 1250.97008 Haukkanen, Pentti; Merikoski, Jorma K.; Tossavainen, Timo 4 2011 On certain trigonometric sums in several variables. Zbl 0830.11004 Haukkanen, P.; Sivaramakrishnan, R. 4 1994 On the \(\ell_p\) norm of GCD and related matrices. Zbl 1057.11017 Haukkanen, Pentti 4 2004 Formal power series for binomial sums of sequences of numbers. Zbl 0770.11014 Haukkanen, Pentti 4 1993 Asymptotics of the number of threshold functions on a two-dimensional rectangular grid. Zbl 1260.94094 Haukkanen, Pentti; Merikoski, Jorma K. 4 2013 On the maximum row and column sum norm of GCD and related matrices. Zbl 1228.11154 Haukkanen, Pentti 3 2007 On a general form of join matrices associated with incidence functions. Zbl 1146.11018 Korkee, Ismo; Haukkanen, Pentti 3 2008 On a general form of meet matrices associated with incidence functions. Zbl 1088.11019 Korkee, Ismo; Haukkanen, Pentti 3 2005 On characterizations of completely multiplicative arithmetical functions. Zbl 0972.11006 Haukkanen, Pentti 3 2001 Some characterizations of specially multiplicative functions. Zbl 1044.11003 Haukkanen, Pentti 3 2003 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 A note on Horadam’s sequence. Zbl 1009.11008 Haukkanen, Pentti 3 2002 Discrete Ramanujan-Fourier transform of even functions (mod \(r\)). Zbl 1266.11011 Haukkanen, Pentti 3 2007 Arithmetic subderivatives: discontinuity and continuity. Zbl 1448.11008 Haukkanen, Pentti; Merikoski, Jorma K.; Tossavainen, Timo 3 2019 Menon-type identities again: a note on a paper by Li, Kim and Qiao. Zbl 1463.11003 Haukkanen, Pentti; Tóth, László 3 2020 On some analogues of the Bourque-Ligh conjecture on LCM matrices. Zbl 1245.11036 Haukkanen, Pentti; Sillanpää, Juha 2 1997 Arithmetical equations involving semi-multiplicative functions and the Dirichlet convolution. Zbl 0689.10007 Haukkanen, P. 2 1988 Rational arithmetical functions of order (2,1) with respect to regular convolutions. Zbl 0939.11003 Haukkanen, P. 2 1999 Basic properties of the bi-unitary convolution and the semi-unitary convolution. Zbl 0942.11005 Haukkanen, Pentti 2 1998 On some set-reduced arithmetical sums. Zbl 0911.11005 Haukkanen, Pentti 2 1997 On the binomial convolution of arithmetical functions. Zbl 1242.11008 Tóth, László; Haukkanen, Pentti 2 2009 Derivation of arithmetical functions under the Dirichlet convolution. Zbl 1456.11006 Haukkanen, Pentti 2 2018 On the \(k\)-ary convolution of arithmetical functions. Zbl 0962.11006 Haukkanen, Pentti 2 2000 Some generalized totient functions. Zbl 0713.11004 Haukkanen, Pentti 2 1989 On a convolution of linear recurring sequences over finite fields. Zbl 0761.11042 Haukkanen, Pentti 2 1992 An elementary linear algebraic approach to even functions \(\pmod r\). Zbl 1239.11007 Haukkanen, Pentti 2 2001 Some properties of row-adjusted meet and join matrices. Zbl 1280.11018 Mattila, Mika; Haukkanen, Pentti 2 2012 Extensions of the class of multiplicative functions. Zbl 1315.11006 Haukkanen, Pentti 2 2012 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 Inertia, positive definiteness and \(\ell_p\) norm of GCD and LCM matrices and their unitary analogs. Zbl 1403.15027 Haukkanen, Pentti; Tóth, László 2 2018 Comparison of regular convolutions. Zbl 0668.10012 Haukkanen, Pentti 1 1989 Cauchy multiplication and periodic functions \((\text{mod }r)\). Zbl 0769.11001 Haukkanen, Pentti; Sivaramakrishnan, R. 1 1991 On direct and inverse proportionality. Zbl 1132.26302 Halmetoja, Markku; Haukkanen, Pentti; Laurinolli, Teuvo; Merikoski, Jorma K.; Tossavainen, Timo; Virtanen, Ari 1 2007 Asymptotics for numbers of line segments and lines in a square grid. Zbl 1247.05019 Haukkanen, Pentti; Merikoski, Jorma K. 1 2012 A further combinatorial number-theoretic extension of Euler’s totient. Zbl 0908.11003 Haukkanen, Pentti 1 1997 An abstract Möbius inversion formula with number-theoretic applications. Zbl 0828.11003 Haukkanen, Pentti 1 1995 Formulas for the number of gridlines. Zbl 1250.05023 Ernvall-Hytönen, Anne-Maria; Matomäki, Kaisa; Haukkanen, Pentti; Merikoski, Jorma K. 1 2011 An analogue of Ramanujan’s sum with respect to regular integers (mod \(r\)). Zbl 1245.11012 Haukkanen, Pentti; Tóth, László 1 2012 A topological approach to divisibility of arithmetical functions and GCD matrices. Zbl 1276.11008 Haukkanen, Pentti 1 2012 On an inequality related to the Legendre totient function. Zbl 0995.11004 Haukkanen, Pentti 1 2002 The Dirichlet inverse of Ramanujan’s sum via principal functions. Zbl 1141.11301 Haukkanen, Pentti 1 1999 A property of generalized Ramanujan’s sums concerning generalized completely multiplicative functions. Zbl 0707.11067 Haukkanen, Pentti 1 1989 On generalizations of some identities of Ramanujan. Zbl 0722.11004 Haukkanen, Pentti 1 1991 A characterization of completely multiplicative arithmetical functions. Zbl 0873.11009 Haukkanen, Pentti 1 1996 Some computational results concerning the divisor functions \(d(n)\) and \(\sigma(n)\). Zbl 0884.11006 Haukkanen, Pentti 1 1993 A generalization of Euler’s \(\varphi\)-function with respect to a set of polynomials. Zbl 0880.11005 Haukkanen, P.; Tóth, L. 1 1996 A note on rational arithmetic functions of order \((2,1)\). Zbl 0784.11003 Haukkanen, Pentti 1 1993 On a convolution of linear recurring sequences over finite fields. II. Zbl 0799.11060 Haukkanen, Pentti 1 1994 Roots of sequences under convolutions. Zbl 0815.11006 Haukkanen, Pentti 1 1994 On a formula for Euler’s totient function. Zbl 1239.11008 Haukkanen, Pentti 1 2000 Bounds for sine and cosine via eigenvalue estimation. Zbl 1291.15049 Haukkanen, Pentti; Mattila, Mika; Merikoski, Jorma K.; Kovačec, Alexander 1 2014 Smith meets Smith: Smith normal form of Smith matrix. Zbl 1225.15014 Ilmonen, Pauliina; Haukkanen, Pentti 1 2011 Embedding the unitary divisor meet semilattice in a lattice. Zbl 1400.06002 Haukkanen, Pentti 1 2016 A lattice-theoretic approach to the Bourque-Ligh conjecture. Zbl 1442.11054 Korkee, Ismo; Mattila, Mika; Haukkanen, Pentti 1 2019 Binomial formulas for specially multiplicative functions. Zbl 1194.11019 Haukkanen, Pentti 1 1995 Studying the inertias of LCM matrices and revisiting the Bourque-Ligh conjecture. Zbl 1442.11007 Haukkanen, Pentti; Mattila, Mika; Mäntysalo, Jori 1 2020 Asymptotics of partial sums of the Dirichlet series of the arithmetic derivative. Zbl 1476.11126 Haukkanen, Pentti; Merikoski, Jorma K.; Tossavainen, Timo 1 2020 Menon-type identities again: a note on a paper by Li, Kim and Qiao. Zbl 1463.11003 Haukkanen, Pentti; Tóth, László 3 2020 Studying the inertias of LCM matrices and revisiting the Bourque-Ligh conjecture. Zbl 1442.11007 Haukkanen, Pentti; Mattila, Mika; Mäntysalo, Jori 1 2020 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 A lattice-theoretic approach to the Bourque-Ligh conjecture. Zbl 1442.11054 Korkee, Ismo; Mattila, Mika; Haukkanen, Pentti 1 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 Derivation of arithmetical functions under the Dirichlet convolution. Zbl 1456.11006 Haukkanen, Pentti 2 2018 Inertia, positive definiteness and \(\ell_p\) norm of GCD and LCM matrices and their unitary analogs. Zbl 1403.15027 Haukkanen, Pentti; Tóth, László 2 2018 Maximal perpendicularity in certain abelian groups. Zbl 1376.20058 Mattila, Mika; Merikoski, Jorma K.; Haukkanen, Pentti; Tossavainen, Timo 3 2017 Studying the various properties of MIN and MAX matrices – elementary vs. more advanced methods. Zbl 1338.15076 Mattila, Mika; Haukkanen, Pentti 7 2016 On arithmetic partial differential equations. Zbl 1353.11007 Haukkanen, Pentti; Merikoski, Jorma K.; Tossavainen, Timo 6 2016 Embedding the unitary divisor meet semilattice in a lattice. Zbl 1400.06002 Haukkanen, Pentti 1 2016 Studying the singularity of LCM-type matrices via semilattice structures and their Möbius functions. Zbl 1343.11037 Haukkanen, Pentti; Mattila, Mika; Mäntysalo, Jori 5 2015 On the positive definiteness and eigenvalues of meet and join matrices. Zbl 1290.15022 Mattila, Mika; Haukkanen, Pentti 11 2014 Bounds for sine and cosine via eigenvalue estimation. Zbl 1291.15049 Haukkanen, Pentti; Mattila, Mika; Merikoski, Jorma K.; Kovačec, Alexander 1 2014 Perpendicularity in an Abelian group. Zbl 1264.51012 Haukkanen, Pentti; Mattila, Mika; Merikoski, Jorma K.; Tossavainen, Timo 6 2013 Determinant and inverse of join matrices on two sets. Zbl 1281.15036 Mattila, Mika; Haukkanen, Pentti 6 2013 Asymptotics of the number of threshold functions on a two-dimensional rectangular grid. Zbl 1260.94094 Haukkanen, Pentti; Merikoski, Jorma K. 4 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 On the eigenvalues of certain number-theoretic matrices. Zbl 1275.15012 Mattila, Mika; Haukkanen, Pentti 8 2012 Some properties of row-adjusted meet and join matrices. Zbl 1280.11018 Mattila, Mika; Haukkanen, Pentti 2 2012 Extensions of the class of multiplicative functions. Zbl 1315.11006 Haukkanen, Pentti 2 2012 Asymptotics for numbers of line segments and lines in a square grid. Zbl 1247.05019 Haukkanen, Pentti; Merikoski, Jorma K. 1 2012 An analogue of Ramanujan’s sum with respect to regular integers (mod \(r\)). Zbl 1245.11012 Haukkanen, Pentti; Tóth, László 1 2012 A topological approach to divisibility of arithmetical functions and GCD matrices. Zbl 1276.11008 Haukkanen, Pentti 1 2012 The discrete Fourier transform of \(r\)-even functions. Zbl 1262.11005 Tóth, László; Haukkanen, Pentti 11 2011 A generalization of Descartes rule of signs and fundamental theorem of algebra. Zbl 1247.12002 Haukkanen, Pentti; Tossavainen, Timo 8 2011 Axiomatizing perpendicularity and parallelism. Zbl 1250.97008 Haukkanen, Pentti; Merikoski, Jorma K.; Tossavainen, Timo 4 2011 Formulas for the number of gridlines. Zbl 1250.05023 Ernvall-Hytönen, Anne-Maria; Matomäki, Kaisa; Haukkanen, Pentti; Merikoski, Jorma K. 1 2011 Smith meets Smith: Smith normal form of Smith matrix. Zbl 1225.15014 Ilmonen, Pauliina; Haukkanen, Pentti 1 2011 On the generalized Lucas sequences by Hessenberg matrices. Zbl 1249.11023 Kiliç, E.; Tasci, D.; Haukkanen, P. 8 2010 On unitary analogs of GCD reciprocal LCM matrices. Zbl 1231.11032 Haukkanen, Pentti; Ilmonen, Pauliina; Nalli, Ayse; Sillanpää, Juha 5 2010 On generalized Fibonacci and Lucas polynomials. Zbl 1198.11017 Nalli, Ayse; Haukkanen, Pentti 33 2009 On the binomial convolution of arithmetical functions. Zbl 1242.11008 Tóth, László; Haukkanen, Pentti 2 2009 On eigenvalues of meet and join matrices associated with incidence functions. Zbl 1143.15016 Ilmonen, Pauliina; Haukkanen, Pentti; Merikoski, Jorma K. 13 2008 On the divisibility of meet and join matrices. Zbl 1157.11009 Korkee, Ismo; Haukkanen, Pentti 11 2008 On a gcd-sum function. Zbl 1243.11004 Haukkanen, Pentti 6 2008 A unique factorization in commutative Möbius monoids. Zbl 1154.20050 Schwab, Emil Daniel; Haukkanen, Pentti 6 2008 On a general form of join matrices associated with incidence functions. Zbl 1146.11018 Korkee, Ismo; Haukkanen, Pentti 3 2008 Approximation of arithmetical functions by even functions. Zbl 1233.11004 Haukkanen, Pentti; Tossavainen, Timo 3 2008 Determinant and inverse of meet and join matrices. Zbl 1144.15001 Altinisik, Ercan; Tuglu, Naim; Haukkanen, Pentti 9 2007 On the maximum row and column sum norm of GCD and related matrices. Zbl 1228.11154 Haukkanen, Pentti 3 2007 Discrete Ramanujan-Fourier transform of even functions (mod \(r\)). Zbl 1266.11011 Haukkanen, Pentti 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 An upper bound for the \(\ell_p\) norm of a gcd-related matrix. Zbl 1096.15009 Haukkanen, Pentti 5 2006 Menon’s identity with respect to a generalized divisibility relation. Zbl 1207.11011 Haukkanen, Pentti 17 2005 Notes on the divisibility of GCD and LCM matrices. Zbl 1077.11019 Haukkanen, Pentti; Korkee, Ismo 11 2005 On a general form of meet matrices associated with incidence functions. Zbl 1088.11019 Korkee, Ismo; Haukkanen, Pentti 3 2005 A note on bounds for norms of reciprocal LCM matrix. Zbl 1077.11018 Altinisik, Ercan; Tuglu, Naim; Haukkanen, Pentti 6 2004 On meet matrices with respect to reduced extended and exchanged sets. Zbl 1083.15014 Korkee, Ismo; Haukkanen, Pentti 5 2004 On the \(\ell_p\) norm of GCD and related matrices. Zbl 1057.11017 Haukkanen, Pentti 4 2004 On meet and join matrices associated with incidence functions. Zbl 1036.06005 Korkee, Ismo; Haukkanen, Pentti 28 2003 Some characterizations of specially multiplicative functions. Zbl 1044.11003 Haukkanen, Pentti 3 2003 A note on Horadam’s sequence. Zbl 1009.11008 Haukkanen, Pentti 3 2002 On an inequality related to the Legendre totient function. Zbl 0995.11004 Haukkanen, Pentti 1 2002 Bounds for determinants of meet matrices associated with incidence functions. Zbl 0991.15011 Korkee, Ismo; Haukkanen, Pentti 12 2001 On characterizations of completely multiplicative arithmetical functions. Zbl 0972.11006 Haukkanen, Pentti 3 2001 An elementary linear algebraic approach to even functions \(\pmod r\). Zbl 1239.11007 Haukkanen, Pentti 2 2001 On the \(k\)-ary convolution of arithmetical functions. Zbl 0962.11006 Haukkanen, Pentti 2 2000 On a formula for Euler’s totient function. Zbl 1239.11008 Haukkanen, Pentti 1 2000 Rational arithmetical functions of order (2,1) with respect to regular convolutions. Zbl 0939.11003 Haukkanen, P. 2 1999 The Dirichlet inverse of Ramanujan’s sum via principal functions. Zbl 1141.11301 Haukkanen, Pentti 1 1999 Basic properties of the bi-unitary convolution and the semi-unitary convolution. Zbl 0942.11005 Haukkanen, Pentti 2 1998 On Smith’s determinant. Zbl 0883.15002 Haukkanen, Pentti; Wang, Jun; Sillanpää, Juha 41 1997 High degree analogs of Menon’s identity. Zbl 0896.11002 Haukkanen, Pentti; Wang, Jun 10 1997 On the real powers of completely multiplicative arithmetical functions. Zbl 0928.11005 Haukkanen, Pentti 8 1997 On some analogues of the Bourque-Ligh conjecture on LCM matrices. Zbl 1245.11036 Haukkanen, Pentti; Sillanpää, Juha 2 1997 On some set-reduced arithmetical sums. Zbl 0911.11005 Haukkanen, Pentti 2 1997 A further combinatorial number-theoretic extension of Euler’s totient. Zbl 0908.11003 Haukkanen, Pentti 1 1997 On meet matrices on posets. Zbl 0870.15016 Haukkanen, Pentti 26 1996 A generalization of Menon’s identity with respect to a set of polynomials. Zbl 0856.11006 Haukkanen, P.; Wang, J. 16 1996 Some analogues of Smith’s determinant. Zbl 0869.15005 Haukkanen, Pentti; Sillanpää, Juha 9 1996 Some characterizations of totients. Zbl 0846.11005 Haukkanen, Pentti 8 1996 A characterization of completely multiplicative arithmetical functions. Zbl 0873.11009 Haukkanen, Pentti 1 1996 A generalization of Euler’s \(\varphi\)-function with respect to a set of polynomials. Zbl 0880.11005 Haukkanen, P.; Tóth, L. 1 1996 An abstract Möbius inversion formula with number-theoretic applications. Zbl 0828.11003 Haukkanen, Pentti 1 1995 Binomial formulas for specially multiplicative functions. Zbl 1194.11019 Haukkanen, Pentti 1 1995 On certain trigonometric sums in several variables. Zbl 0830.11004 Haukkanen, P.; Sivaramakrishnan, R. 4 1994 On a convolution of linear recurring sequences over finite fields. II. Zbl 0799.11060 Haukkanen, Pentti 1 1994 Roots of sequences under convolutions. Zbl 0815.11006 Haukkanen, Pentti 1 1994 Formal power series for binomial sums of sequences of numbers. Zbl 0770.11014 Haukkanen, Pentti 4 1993 Some computational results concerning the divisor functions \(d(n)\) and \(\sigma(n)\). Zbl 0884.11006 Haukkanen, Pentti 1 1993 A note on rational arithmetic functions of order \((2,1)\). Zbl 0784.11003 Haukkanen, Pentti 1 1993 Higher-dimensional gcd matrices. Zbl 0749.15013 Haukkanen, Pentti 19 1992 On a convolution of linear recurring sequences over finite fields. Zbl 0761.11042 Haukkanen, Pentti 2 1992 Sums of values of even functions. Zbl 0725.11002 Haukkanen, Pentti; McCarthy, P. J. 6 1991 Cauchy multiplication and periodic functions \((\text{mod }r)\). Zbl 0769.11001 Haukkanen, Pentti; Sivaramakrishnan, R. 1 1991 On generalizations of some identities of Ramanujan. Zbl 0722.11004 Haukkanen, Pentti 1 1991 Some generalized totient functions. Zbl 0713.11004 Haukkanen, Pentti 2 1989 Comparison of regular convolutions. Zbl 0668.10012 Haukkanen, Pentti 1 1989 A property of generalized Ramanujan’s sums concerning generalized completely multiplicative functions. Zbl 0707.11067 Haukkanen, Pentti 1 1989 Classical arithmetical identities involving a generalization of Ramanujan’s sum. Zbl 0651.10005 Haukkanen, Pentti 9 1988 Arithmetical equations involving semi-multiplicative functions and the Dirichlet convolution. Zbl 0689.10007 Haukkanen, P. 2 1988 all cited Publications top 5 cited Publications all top 5 Cited by 256 Authors 38 Haukkanen, Pentti 13 Hong, Shaofang 11 Mattila, Mika 11 Tóth, László 9 Merikoski, Jorma Kaarlo 8 Kim, Daeyeoul 8 Tossavainen, Timo 7 Altinisik, Ercan 7 Li, Yan 6 Catarino, Paula Maria Machado Cruz 6 Kilic, Emrah 6 Korkee, Ismo 6 Schwab, Emil Daniel 5 Ilmonen, Pauliina 4 Hilberdink, Titus W. 4 Kızılateş, Can 4 Laohakosol, Vichian 4 Li, Mao 4 Lin, Zongbing 4 Prasad, Bandhu 4 Soykan, Yüksel 3 Altintas, Ismet 3 Bourque, Keith 3 Burnett, Joseph Vade 3 Chatzarakis, George E. 3 Chen, Long 3 Dickson, Stewart 3 Ligh, Steve 3 Miguel, Celino 3 Namboothiri, K. Vishnu 3 Pabhapote, Nittiya 3 Padmasekaran, S. 3 Sillanpää, Juha 3 Tan, Qianrong 3 Taşköprü, Kemal 3 Tuglu, Naim 3 Zhao, Jianrong 2 Arıkan, Talha 2 Chandran, Arya 2 Fukson, Sofia Leonidovna 2 Hazarika, Bipan 2 Hu, Shuangnian 2 Kaarnioja, Vesa 2 Khoshnoudirad, Daniel 2 Koparal, Sibel 2 Luque, Jean-Gabriel 2 Mäntysalo, Jori 2 Omur, Nese 2 Osterman, Otto Vaughn 2 Ramírez, José Luis 2 Sitaramaiah, Varanasi 2 Solak, Süleyman 2 Tărnăuceanu, Marius 2 Taşdemir, Erkan 2 Thomas, Neha Elizabeth 2 Wang, Bangyan 2 Wang, Hui 2 Wang, Weiping 2 Weber, Michel Jean Georges 2 Yamasaki, Yoshinori 2 Yaying, Taja 2 Zamaraeva, Elena 2 Zhu, Guangyan 2 Žunić, Joviša D. 1 Algali, Khola 1 Alkan, Emre 1 Aman, Mohd 1 Andriantiana, Eric Ould Dadah 1 Arolkar, Suchita 1 Aşci, Mustafa 1 Awad, Y. A. 1 Babu, E. Kiran 1 Bahşi, Mustafa 1 Balazard, Michel 1 Banerjee, Abhishek 1 Bang, Luke 1 Barbero, Stefano 1 Basu, Manjusri 1 Baustian, Falko 1 Beiranvand, Mohammad 1 Belbachir, Hacene 1 Beyaztaş, Merve 1 Bibak, Khodakhast 1 Bordellès, Olivier 1 Boussicault, Adrien 1 Boutiche, Mohamed Amine 1 Bouzeffour, Fethi 1 Bozkurt, Durmuş 1 Bu, Zhengjin 1 Büyükköse, Şerife 1 Caiúve, A. 1 Cangul, Ismail Naci 1 Cao, Wei 1 Cao, Zhenfu 1 Çekım, Bayram 1 Cerruti, Umberto 1 Chattopadhyay, Jaitra 1 Choi, Junesang 1 Costabile, Francesco Aldo 1 da Graça Neto, Almir Cunha ...and 156 more Authors all top 5 Cited in 101 Serials 25 Linear Algebra and its Applications 15 Linear and Multilinear Algebra 12 Journal of Number Theory 9 The Ramanujan Journal 9 International Journal of Number Theory 7 Discrete Mathematics 7 Journal of Integer Sequences 6 Chaos, Solitons and Fractals 5 Applied Mathematics and Computation 5 International Journal of Mathematics and Mathematical Sciences 5 Discrete Mathematics, Algorithms and Applications 4 Journal of Combinatorial Theory. Series A 4 Filomat 3 Bulletin of the Australian Mathematical Society 3 Lithuanian Mathematical Journal 3 Czechoslovak Mathematical Journal 3 Journal of Algebra 3 Proceedings of the American Mathematical Society 3 Aequationes Mathematicae 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Turkish Journal of Mathematics 3 Asian-European Journal of Mathematics 3 Special Matrices 3 International Journal of Advances in Applied Mathematics and Mechanics 2 Mathematical Methods in the Applied Sciences 2 Rocky Mountain Journal of Mathematics 2 Advances in Mathematics 2 Acta Mathematica Hungarica 2 Integral Transforms and Special Functions 2 Acta Mathematica Sinica. English Series 2 Integers 2 Applied Mathematics E-Notes 2 Journal of Applied Mathematics and Computing 2 Mediterranean Journal of Mathematics 2 Acta Universitatis Sapientiae. Mathematica 2 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika 2 Palestine Journal of Mathematics 2 Nonautonomous Dynamical Systems 2 Journal of Algebra, Combinatorics, Discrete Structures and Applications 2 AIMS Mathematics 1 Communications in Algebra 1 Discrete Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes 1 Ukrainian Mathematical Journal 1 Mathematics Magazine 1 Journal of Geometry and Physics 1 Colloquium Mathematicum 1 Glasgow Mathematical Journal 1 Journal of Computer and System Sciences 1 Manuscripta Mathematica 1 Matematički Vesnik 1 Mathematica Slovaca 1 Monatshefte für Mathematik 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Semigroup Forum 1 Theoretical Computer Science 1 Information and Computation 1 Facta Universitatis. Series Mathematics and Informatics 1 Journal of the Ramanujan Mathematical Society 1 Economics Letters 1 Glasnik Matematički. Serija III 1 Expositiones Mathematicae 1 Algebra Colloquium 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Computational and Applied Mathematics 1 Advances in Applied Clifford Algebras 1 The Electronic Journal of Combinatorics 1 Opuscula Mathematica 1 Journal of Difference Equations and Applications 1 Acta Mathematica et Informatica Universitatis Ostraviensis 1 Taiwanese Journal of Mathematics 1 Journal of Inequalities and Applications 1 Discrete Dynamics in Nature and Society 1 Annales Mathematicae Silesianae 1 Journal of Applied Mathematics 1 JP Journal of Algebra, Number Theory and Applications 1 Computational Methods and Function Theory 1 Journal of Algebra and its Applications 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Advances in Difference Equations 1 The Australian Journal of Mathematical Analysis and Applications 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Online Journal of Analytic Combinatorics 1 Journal of Modern Dynamics 1 Bulletin of Mathematical Analysis and Applications 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Symmetry 1 Journal of Applied Mathematics & Informatics 1 Afrika Matematika 1 Journal of Theoretical Biology 1 Arabian Journal of Mathematics 1 Journal of Mahani Mathematical Research Center 1 Journal of Linear and Topological Algebra 1 Journal of Mathematical Modeling 1 Chinese Journal of Mathematics 1 Open Mathematics ...and 1 more Serials all top 5 Cited in 35 Fields 190 Number theory (11-XX) 82 Linear and multilinear algebra; matrix theory (15-XX) 33 Combinatorics (05-XX) 19 Order, lattices, ordered algebraic structures (06-XX) 19 Group theory and generalizations (20-XX) 6 Commutative algebra (13-XX) 6 Real functions (26-XX) 6 Special functions (33-XX) 6 Information and communication theory, circuits (94-XX) 5 Associative rings and algebras (16-XX) 5 Sequences, series, summability (40-XX) 5 Computer science (68-XX) 5 Biology and other natural sciences (92-XX) 4 Category theory; homological algebra (18-XX) 4 Ordinary differential equations (34-XX) 3 Functional analysis (46-XX) 3 Geometry (51-XX) 3 Manifolds and cell complexes (57-XX) 3 Numerical analysis (65-XX) 2 Field theory and polynomials (12-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 General topology (54-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Citations by Year