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Haukkanen, Pentti

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Author ID: haukkanen.pentti Recent zbMATH articles by "Haukkanen, Pentti"
Published as: Haukkanen, P.; Haukkanen, Pentti
Documents Indexed: 145 Publications since 1987
Reviewing Activity: 338 Reviews
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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
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 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 Universităţii din Timişoara. Seria Matematică-Informatică
1 Mathematical Communications
1 The Ramanujan Journal
1 Journal of Inequalities and Applications
1 Analele Universităţii din Oradea. Fascicola Matematică
1 Buletinul Ştiinţific al Universităţii Politehnica din Timişoara. Seria Matematică-Fizică
1 Journal for Geometry and Graphics
1 Mathematical Inequalities & Applications
1 Nieuw Archief voor Wiskunde. Vijfde Serie
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

Publications by Year

Citations contained in zbMATH

84 Publications have been cited 406 times in 173 Documents Cited by Year
On Smith’s determinant. Zbl 0883.15002
Haukkanen, Pentti; Wang, Jun; Sillanpää, Juha
39
1997
On meet and join matrices associated with incidence functions. Zbl 1036.06005
Korkee, Ismo; Haukkanen, Pentti
26
2003
On meet matrices on posets. Zbl 0870.15016
Haukkanen, Pentti
26
1996
On generalized Fibonacci and Lucas polynomials. Zbl 1198.11017
Nalli, Ayse; Haukkanen, Pentti
24
2009
Higher-dimensional gcd matrices. Zbl 0749.15013
Haukkanen, Pentti
17
1992
On eigenvalues of meet and join matrices associated with incidence functions. Zbl 1143.15016
Ilmonen, Pauliina; Haukkanen, Pentti; Merikoski, Jorma K.
12
2008
Menon’s identity with respect to a generalized divisibility relation. Zbl 1207.11011
Haukkanen, Pentti
12
2005
Bounds for determinants of meet matrices associated with incidence functions. Zbl 0991.15011
Korkee, Ismo; Haukkanen, Pentti
12
2001
On the positive definiteness and eigenvalues of meet and join matrices. Zbl 1290.15022
Mattila, Mika; Haukkanen, Pentti
10
2014
The discrete Fourier transform of \(r\)-even functions. Zbl 1262.11005
Tóth, László; Haukkanen, Pentti
10
2011
A generalization of Menon’s identity with respect to a set of polynomials. Zbl 0856.11006
Haukkanen, P.; Wang, J.
10
1996
Some analogues of Smith’s determinant. Zbl 0869.15005
Haukkanen, Pentti; Sillanpää, Juha
9
1996
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
8
2007
Notes on the divisibility of GCD and LCM matrices. Zbl 1077.11019
Haukkanen, Pentti; Korkee, Ismo
8
2005
On the real powers of completely multiplicative arithmetical functions. Zbl 0928.11005
Haukkanen, Pentti
8
1997
High degree analogs of Menon’s identity. Zbl 0896.11002
Haukkanen, Pentti; Wang, Jun
8
1997
On the divisibility of meet and join matrices. Zbl 1157.11009
Korkee, Ismo; Haukkanen, Pentti
7
2008
Some characterizations of totients. Zbl 0846.11005
Haukkanen, Pentti
7
1996
A note on bounds for norms of reciprocal LCM matrix. Zbl 1077.11018
Altinisik, Ercan; Tuglu, Naim; Haukkanen, Pentti
6
2004
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
Determinant and inverse of join matrices on two sets. Zbl 1281.15036
Mattila, Mika; Haukkanen, Pentti
5
2013
On the eigenvalues of certain number-theoretic matrices. Zbl 1275.15012
Mattila, Mika; Haukkanen, Pentti
5
2012
On meet matrices with respect to reduced extended and exchanged sets. Zbl 1083.15014
Korkee, Ismo; Haukkanen, Pentti
5
2004
Sums of values of even functions. Zbl 0725.11002
Haukkanen, Pentti; McCarthy, P. J.
5
1991
On the generalized Lucas sequences by Hessenberg matrices. Zbl 1249.11023
Kiliç, E.; Tasci, D.; Haukkanen, P.
4
2010
On unitary analogs of GCD reciprocal LCM matrices. Zbl 1231.11032
Haukkanen, Pentti; Ilmonen, Pauliina; Nalli, Ayse; Sillanpää, Juha
4
2010
A unique factorization in commutative Möbius monoids. Zbl 1154.20050
Schwab, Emil Daniel; Haukkanen, Pentti
4
2008
An upper bound for the \(\ell_p\) norm of a gcd-related matrix. Zbl 1096.15009
Haukkanen, Pentti
4
2006
On the \(\ell_p\) norm of GCD and related matrices. Zbl 1057.11017
Haukkanen, Pentti
4
2004
On arithmetic partial differential equations. Zbl 1353.11007
Haukkanen, Pentti; Merikoski, Jorma K.; Tossavainen, Timo
3
2016
Studying the various properties of MIN and MAX matrices – elementary vs. more advanced methods. Zbl 1338.15076
Mattila, Mika; Haukkanen, Pentti
3
2016
Can the arithmetic derivative be defined on a non-unique factorization domain? Zbl 1353.11006
Haukkanen, Pentti; Mattila, Mika; Merikoski, Jorma K.; Tossavainen, Timo
3
2013
On a gcd-sum function. Zbl 1243.11004
Haukkanen, Pentti
3
2008
Approximation of arithmetical functions by even functions. Zbl 1233.11004
Haukkanen, Pentti; Tossavainen, Timo
3
2008
On a general form of join matrices associated with incidence functions. Zbl 1146.11018
Korkee, Ismo; Haukkanen, Pentti
3
2008
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 meet matrices associated with incidence functions. Zbl 1088.11019
Korkee, Ismo; Haukkanen, Pentti
3
2005
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 characterizations of completely multiplicative arithmetical functions. Zbl 0972.11006
Haukkanen, Pentti
3
2001
On certain trigonometric sums in several variables. Zbl 0830.11004
Haukkanen, P.; Sivaramakrishnan, R.
3
1994
Arithmetic subderivatives and Leibniz-additive functions. Zbl 1444.11015
Merikoski, Jorma K.; Haukkanen, Pentti; Tossavainen, Timo
2
2019
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
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
2
2018
Perpendicularity in an Abelian group. Zbl 1264.51012
Haukkanen, Pentti; Mattila, Mika; Merikoski, Jorma K.; Tossavainen, Timo
2
2013
Some properties of row-adjusted meet and join matrices. Zbl 1280.11018
Mattila, Mika; Haukkanen, Pentti
2
2012
Axiomatizing perpendicularity and parallelism. Zbl 1250.97008
Haukkanen, Pentti; Merikoski, Jorma K.; Tossavainen, Timo
2
2011
A generalization of Descartes rule of signs and fundamental theorem of algebra. Zbl 1247.12002
Haukkanen, Pentti; Tossavainen, Timo
2
2011
On the binomial convolution of arithmetical functions. Zbl 1242.11008
Tóth, László; Haukkanen, Pentti
2
2009
Discrete Ramanujan-Fourier transform of even functions (mod \(r\)). Zbl 1266.11011
Haukkanen, Pentti
2
2007
On the \(k\)-ary convolution of arithmetical functions. Zbl 0962.11006
Haukkanen, Pentti
2
2000
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 a convolution of linear recurring sequences over finite fields. Zbl 0761.11042
Haukkanen, Pentti
2
1992
Some generalized totient functions. Zbl 0713.11004
Haukkanen, Pentti
2
1989
Arithmetical equations involving semi-multiplicative functions and the Dirichlet convolution. Zbl 0689.10007
Haukkanen, P.
2
1988
Asymptotics of partial sums of the Dirichlet series of the arithmetic derivative. Zbl 07200858
Haukkanen, Pentti; Merikoski, Jorma K.; Tossavainen, Timo
1
2020
Studying the inertias of LCM matrices and revisiting the Bourque-Ligh conjecture. Zbl 1442.11007
Haukkanen, Pentti; Mattila, Mika; Mäntysalo, Jori
1
2020
Arithmetic subderivatives: discontinuity and continuity. Zbl 1448.11008
Haukkanen, Pentti; Merikoski, Jorma K.; Tossavainen, Timo
1
2019
Embedding the unitary divisor meet semilattice in a lattice. Zbl 1400.06002
Haukkanen, Pentti
1
2016
Bounds for sine and cosine via eigenvalue estimation. Zbl 1291.15049
Haukkanen, Pentti; Mattila, Mika; Merikoski, Jorma K.; Kovačec, Alexander
1
2014
Asymptotics of the number of threshold functions on a two-dimensional rectangular grid. Zbl 1260.94094
Haukkanen, Pentti; Merikoski, Jorma K.
1
2013
Extensions of the class of multiplicative functions. Zbl 1315.11006
Haukkanen, Pentti
1
2012
An analogue of Ramanujan’s sum with respect to regular integers (mod \(r\)). Zbl 1245.11012
Haukkanen, Pentti; Tóth, László
1
2012
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 direct and inverse proportionality. Zbl 1132.26302
Halmetoja, Markku; Haukkanen, Pentti; Laurinolli, Teuvo; Merikoski, Jorma K.; Tossavainen, Timo; Virtanen, Ari
1
2007
On an inequality related to the Legendre totient function. Zbl 0995.11004
Haukkanen, Pentti
1
2002
An elementary linear algebraic approach to even functions \(\pmod r\). Zbl 1239.11007
Haukkanen, Pentti
1
2001
The Dirichlet inverse of Ramanujan’s sum via principal functions. Zbl 1141.11301
Haukkanen, Pentti
1
1999
On some analogues of the Bourque-Ligh conjecture on LCM matrices. Zbl 1245.11036
Haukkanen, Pentti; Sillanpää, Juha
1
1997
On some set-reduced arithmetical sums. Zbl 0911.11005
Haukkanen, Pentti
1
1997
A further combinatorial number-theoretic extension of Euler’s totient. Zbl 0908.11003
Haukkanen, Pentti
1
1997
A generalization of Euler’s \(\varphi\)-function with respect to a set of polynomials. Zbl 0880.11005
Haukkanen, P.; Tóth, L.
1
1996
A characterization of completely multiplicative arithmetical functions. Zbl 0873.11009
Haukkanen, Pentti
1
1996
Binomial formulas for specially multiplicative functions. Zbl 1194.11019
Haukkanen, Pentti
1
1995
An abstract Möbius inversion formula with number-theoretic applications. Zbl 0828.11003
Haukkanen, Pentti
1
1995
Roots of sequences under convolutions. Zbl 0815.11006
Haukkanen, Pentti
1
1994
On a convolution of linear recurring sequences over finite fields. II. Zbl 0799.11060
Haukkanen, Pentti
1
1994
Formal power series for binomial sums of sequences of numbers. Zbl 0770.11014
Haukkanen, Pentti
1
1993
On generalizations of some identities of Ramanujan. Zbl 0722.11004
Haukkanen, Pentti
1
1991
A property of generalized Ramanujan’s sums concerning generalized completely multiplicative functions. Zbl 0707.11067
Haukkanen, Pentti
1
1989
Comparison of regular convolutions. Zbl 0668.10012
Haukkanen, Pentti
1
1989
Asymptotics of partial sums of the Dirichlet series of the arithmetic derivative. Zbl 07200858
Haukkanen, Pentti; Merikoski, Jorma K.; Tossavainen, Timo
1
2020
Studying the inertias of LCM matrices and revisiting the Bourque-Ligh conjecture. Zbl 1442.11007
Haukkanen, Pentti; Mattila, Mika; Mäntysalo, Jori
1
2020
Arithmetic subderivatives and Leibniz-additive functions. Zbl 1444.11015
Merikoski, Jorma K.; Haukkanen, Pentti; Tossavainen, Timo
2
2019
Arithmetic subderivatives: discontinuity and continuity. Zbl 1448.11008
Haukkanen, Pentti; Merikoski, Jorma K.; Tossavainen, Timo
1
2019
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
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
2
2018
On arithmetic partial differential equations. Zbl 1353.11007
Haukkanen, Pentti; Merikoski, Jorma K.; Tossavainen, Timo
3
2016
Studying the various properties of MIN and MAX matrices – elementary vs. more advanced methods. Zbl 1338.15076
Mattila, Mika; Haukkanen, Pentti
3
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
10
2014
Bounds for sine and cosine via eigenvalue estimation. Zbl 1291.15049
Haukkanen, Pentti; Mattila, Mika; Merikoski, Jorma K.; Kovačec, Alexander
1
2014
Determinant and inverse of join matrices on two sets. Zbl 1281.15036
Mattila, Mika; Haukkanen, Pentti
5
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
3
2013
Perpendicularity in an Abelian group. Zbl 1264.51012
Haukkanen, Pentti; Mattila, Mika; Merikoski, Jorma K.; Tossavainen, Timo
2
2013
Asymptotics of the number of threshold functions on a two-dimensional rectangular grid. Zbl 1260.94094
Haukkanen, Pentti; Merikoski, Jorma K.
1
2013
On the eigenvalues of certain number-theoretic matrices. Zbl 1275.15012
Mattila, Mika; Haukkanen, Pentti
5
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
1
2012
An analogue of Ramanujan’s sum with respect to regular integers (mod \(r\)). Zbl 1245.11012
Haukkanen, Pentti; Tóth, László
1
2012
The discrete Fourier transform of \(r\)-even functions. Zbl 1262.11005
Tóth, László; Haukkanen, Pentti
10
2011
Axiomatizing perpendicularity and parallelism. Zbl 1250.97008
Haukkanen, Pentti; Merikoski, Jorma K.; Tossavainen, Timo
2
2011
A generalization of Descartes rule of signs and fundamental theorem of algebra. Zbl 1247.12002
Haukkanen, Pentti; Tossavainen, Timo
2
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.
4
2010
On unitary analogs of GCD reciprocal LCM matrices. Zbl 1231.11032
Haukkanen, Pentti; Ilmonen, Pauliina; Nalli, Ayse; Sillanpää, Juha
4
2010
On generalized Fibonacci and Lucas polynomials. Zbl 1198.11017
Nalli, Ayse; Haukkanen, Pentti
24
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.
12
2008
On the divisibility of meet and join matrices. Zbl 1157.11009
Korkee, Ismo; Haukkanen, Pentti
7
2008
A unique factorization in commutative Möbius monoids. Zbl 1154.20050
Schwab, Emil Daniel; Haukkanen, Pentti
4
2008
On a gcd-sum function. Zbl 1243.11004
Haukkanen, Pentti
3
2008
Approximation of arithmetical functions by even functions. Zbl 1233.11004
Haukkanen, Pentti; Tossavainen, Timo
3
2008
On a general form of join matrices associated with incidence functions. Zbl 1146.11018
Korkee, Ismo; Haukkanen, Pentti
3
2008
Determinant and inverse of meet and join matrices. Zbl 1144.15001
Altinisik, Ercan; Tuglu, Naim; Haukkanen, Pentti
8
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
2
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
4
2006
Menon’s identity with respect to a generalized divisibility relation. Zbl 1207.11011
Haukkanen, Pentti
12
2005
Notes on the divisibility of GCD and LCM matrices. Zbl 1077.11019
Haukkanen, Pentti; Korkee, Ismo
8
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
26
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
1
2001
On the \(k\)-ary convolution of arithmetical functions. Zbl 0962.11006
Haukkanen, Pentti
2
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
39
1997
On the real powers of completely multiplicative arithmetical functions. Zbl 0928.11005
Haukkanen, Pentti
8
1997
High degree analogs of Menon’s identity. Zbl 0896.11002
Haukkanen, Pentti; Wang, Jun
8
1997
On some analogues of the Bourque-Ligh conjecture on LCM matrices. Zbl 1245.11036
Haukkanen, Pentti; Sillanpää, Juha
1
1997
On some set-reduced arithmetical sums. Zbl 0911.11005
Haukkanen, Pentti
1
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.
10
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
7
1996
A generalization of Euler’s \(\varphi\)-function with respect to a set of polynomials. Zbl 0880.11005
Haukkanen, P.; Tóth, L.
1
1996
A characterization of completely multiplicative arithmetical functions. Zbl 0873.11009
Haukkanen, Pentti
1
1996
Binomial formulas for specially multiplicative functions. Zbl 1194.11019
Haukkanen, Pentti
1
1995
An abstract Möbius inversion formula with number-theoretic applications. Zbl 0828.11003
Haukkanen, Pentti
1
1995
On certain trigonometric sums in several variables. Zbl 0830.11004
Haukkanen, P.; Sivaramakrishnan, R.
3
1994
Roots of sequences under convolutions. Zbl 0815.11006
Haukkanen, Pentti
1
1994
On a convolution of linear recurring sequences over finite fields. II. Zbl 0799.11060
Haukkanen, Pentti
1
1994
Formal power series for binomial sums of sequences of numbers. Zbl 0770.11014
Haukkanen, Pentti
1
1993
Higher-dimensional gcd matrices. Zbl 0749.15013
Haukkanen, Pentti
17
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.
5
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
A property of generalized Ramanujan’s sums concerning generalized completely multiplicative functions. Zbl 0707.11067
Haukkanen, Pentti
1
1989
Comparison of regular convolutions. Zbl 0668.10012
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 top 5

Cited by 192 Authors

34 Haukkanen, Pentti
11 Mattila, Mika
10 Tóth, László
9 Hong, Shaofang
6 Altinisik, Ercan
6 Kim, Daeyeoul
6 Korkee, Ismo
6 Li, Yan
6 Merikoski, Jorma Kaarlo
5 Ilmonen, Pauliina
4 Catarino, Paula M. M. C.
4 Kilic, Emrah
4 Laohakosol, Vichian
4 Lin, Zongbing
4 Prasad, Bandhu
4 Tossavainen, Timo
3 Bourque, Keith
3 Hilberdink, Titus W.
3 Hong, Siao
3 Li, Mao
3 Ligh, Steve
3 Miguel, Celino
3 Pabhapote, Nittiya
3 Schwab, Emil Daniel
3 Sillanpää, Juha
3 Tan, Qianrong
3 Tuglu, Naim
2 Burnett, Joseph Vade
2 Hazarika, Bipan
2 Hu, Shuangnian
2 Kaarnioja, Vesa
2 Luque, Jean-Gabriel
2 Mäntysalo, Jori
2 Ramírez, José Luis
2 Sitaramaiah, Varanasi
2 Solak, Süleyman
2 Tărnăuceanu, Marius
2 Wang, Bangyan
2 Wang, Hui
2 Wang, Weiping
2 Weber, Michel Jean Georges
2 Yamasaki, Yoshinori
2 Yaying, Taja
2 Yildiz, Mehmet Ercan
2 Zhao, Jianrong
1 Alkan, Emre
1 Altintas, Ismet
1 Aman, Mohd
1 Andriantiana, Eric Ould Dadah
1 Arıkan, Talha
1 Arolkar, Suchita
1 Aşci, Mustafa
1 Balazard, Michel
1 Banerjee, Abhishek
1 Bang, Luke
1 Barbero, Stefano
1 Basu, Manjusri
1 Baustian, Falko
1 Belbachir, Hafida
1 Bibak, Khodakhast
1 Bobkov, Vladimir E.
1 Boussicault, Adrien
1 Boutiche, Mohamed Amine
1 Bouzeffour, Fethi
1 Bozkurt, Durmuş
1 Büyükköse, Şerife
1 Cao, Wei
1 Cao, Zhenfu
1 Çekım, Bayram
1 Cerruti, Umberto
1 Chen, Long
1 Choi, Junesang
1 Costabile, Francesco Aldo
1 da Graça Neto, Almir Cunha
1 da Silva, Robson
1 Dadedzi, Kenneth
1 de Oliveira, Kelvin Souza
1 Demirbüken, Murat
1 Doumic, Marie
1 Elliott, Jesse
1 Enoch Lee, K. S.
1 Fan, Jun
1 Fečkan, Michal
1 Fellner, Klemens
1 Feng, Weiduan
1 Fennessey, Eric J.
1 Flaut, Cristina
1 Garayev, Mübariz Tapdıgoğlu
1 Gashkov, Sergey B.
1 Gil’, Michael Iosif
1 Glöckner, Helge
1 Goncharenko, Andrey D.
1 Goncharenko, Irina N.
1 Grayson, Sam
1 Gualtieri, Maria Italia
1 Guillot, Dominique
1 Gultekin, Inci
1 Halıcı, Serpil
1 Heyman, Randell
1 Hu, Xiaoyu
...and 92 more Authors
all top 5

Cited in 70 Serials

25 Linear Algebra and its Applications
15 Linear and Multilinear Algebra
12 Journal of Number Theory
9 International Journal of Number Theory
6 Discrete Mathematics
6 The Ramanujan Journal
5 Chaos, Solitons and Fractals
5 Applied Mathematics and Computation
5 International Journal of Mathematics and Mathematical Sciences
5 Journal of Integer Sequences
4 Discrete Mathematics, Algorithms and Applications
3 Journal of Algebra
3 Journal of Combinatorial Theory. Series A
3 Proceedings of the American Mathematical Society
3 Aequationes Mathematicae
2 Bulletin of the Australian Mathematical Society
2 Lithuanian Mathematical Journal
2 Rocky Mountain Journal of Mathematics
2 Czechoslovak Mathematical Journal
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Turkish Journal of Mathematics
2 Integral Transforms and Special Functions
2 Acta Mathematica Sinica. English Series
2 Special Matrices
1 Discrete Applied Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Mathematical Analysis and Applications
1 Mathematical Notes
1 Journal of Geometry and Physics
1 Advances in Mathematics
1 Glasgow Mathematical Journal
1 Journal of Computer and System Sciences
1 Manuscripta Mathematica
1 Monatshefte für Mathematik
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Semigroup Forum
1 Acta Mathematica Hungarica
1 Journal of the Ramanujan Mathematical Society
1 Economics Letters
1 Algebra Colloquium
1 Journal of Mathematical Sciences (New York)
1 Advances in Applied Clifford Algebras
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 Journal of Applied Mathematics
1 JP Journal of Algebra, Number Theory and Applications
1 Computational Methods and Function Theory
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 Mediterranean Journal of Mathematics
1 Advances in Difference Equations
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Online Journal of Analytic Combinatorics
1 Asian-European Journal of Mathematics
1 Acta Universitatis Sapientiae. Mathematica
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 Afrika Matematika
1 Journal of Theoretical Biology
1 Arabian Journal of Mathematics
1 Palestine Journal of Mathematics
1 Chinese Journal of Mathematics
1 Open Mathematics
1 Journal of Algebra, Combinatorics, Discrete Structures and Applications
1 Research in Number Theory

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