An abstract Möbius inversion formula with number-theoretic applications. - Pentti Haukkanen (Discret. Math., 1995)

On a generalized convolution of incidence functions. - Pentti Haukkanen (Discret. Math., 2000)

Notes on the divisibility of GCD and LCM Matrices. - Pentti Haukkanen; Ismo Korkee (Int. J. Math. Math. Sci., 2005)

Determinant and Inverse of Meet and Join Matrices. - Ercan Altinisik; Naim Tuglu; Pentti Haukkanen (Int. J. Math. Math. Sci., 2007)

On Direct and Inverse Proportionality. - Markku Halmetoja; Pentti Haukkanen; Teuvo Laurinolli; Jorma K. Merikoski; Timo Tossavainen; Ari Virtanen (Am. Math. Mon., 2007)

On The Generalized Lucas Sequences by Hessenberg Matrices. - Emrah Kiliç; Dursun Tasci; Pentti Haukkanen (Ars Comb., 2010)

A generalization of Descartes' rule of signs and fundamental theorem of algebra. - Pentti Haukkanen; Timo Tossavainen (Appl. Math. Comput., 2011)

Asymptotics for numbers of line segments and lines in a square grid - Pentti Haukkanen; Jorma K. Merikoski (CoRR, 2011)

Some formulas for numbers of line segments and lines in a rectangular grid. - Pentti Haukkanen; Jorma K. Merikoski (Ars Comb., 2012)

Discrete Ramanujan-Fourier Transform of Even Functions (mod $r$) - Pentti Haukkanen (CoRR, 2012)

Asymptotics of the number of threshold functions on a two-dimensional rectangular grid. - Pentti Haukkanen; Jorma K. Merikoski (Discret. Appl. Math., 2013)

Perpendicularity in an Abelian Group. - Pentti Haukkanen; Mika Mattila; Jorma K. Merikoski; Timo Tossavainen (Int. J. Math. Math. Sci., 2013)

On the positive definiteness and eigenvalues of meet and join matrices. - Mika Mattila; Pentti Haukkanen (Discret. Math., 2014)

Studying the singularity of LCM-type matrices via semilattice structures and their Möbius functions. - Pentti Haukkanen; Mika Mattila; Jori Mäntysalo (J. Comb. Theory A, 2015)

On Arithmetic Partial Differential Equations. - Pentti Haukkanen; Jorma K. Merikoski; Timo Tossavainen (J. Integer Seq., 2016)

The Arithmetic Jacobian Matrix and Determinant. - Pentti Haukkanen; Jorma K. Merikoski; Mika Mattila; Timo Tossavainen (J. Integer Seq., 2017)

Arithmetic Subderivatives: Discontinuity and Continuity. - Pentti Haukkanen; Jorma K. Merikoski; Timo Tossavainen (J. Integer Seq., 2019)

Studying the inertias of LCM matrices and revisiting the Bourque-Ligh conjecture. - Pentti Haukkanen; Mika Mattila; Jori Mäntysalo (J. Comb. Theory A, 2020)