Department of Mathematics and Statistics
office: Saint Augustine Center 324
phone: 610-519-7345
email: paul.pasles@villanova.edu
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Paul C. Pasles, Villanova University Department of Mathematics and Statistics office: Saint Augustine Center 324 |
Read about Benjamin Franklin's Numbers! Check your local bookstore or order from Princeton University Press or Amazon. You can read the reviews here and the first chapter here.
Convergence of Poincaré series with two complex coweights. Contemporary Mathematics 251, 2000.
A Hecke correspondence theorem for nonanalytic automorphic integrals. J. of Number Theory 83:2, 2000.
The lost
squares of Dr. Franklin. American Mathematical Monthly
108:6,
2001. rare squares
Row
coincidences in nonsingular binary matrices. European J. of
Combinatorics 22:2, 2001. (With O. Marrero.)
A generalization of the Lipschitz summation formula & some applications. Proc. Amer. Math. Society 129:11, 2001. (With W. Pribitkin.)
Binary
matrices.
Elemente der Mathematik 57:4, 2002. (With O. Marrero.)
Digging for squares. Math Horizons 9:4, 2002. Anthologized in
The Edge of the Universe.
Multiplier systems.
Acta
Arithmetica 108:3, 2003.
Coin ToGa:
A coin-tossing game. College Mathematics Journal 34:3,
2003.
(With O.
Marrero.)
Franklin's other 8-square. Journal of Recreational Mathematics 31:3, 2003.
Some magic squares of distinction. Math Horizons 11, 2004.
A strange new prime pattern. (With O. Marrero.) Journal of Recreational Mathematics 33:4, 2005.
A
bent for magic. Mathematics
Magazine 31:3, 2006.
Benjamin Franklin's Numbers
(book). Princeton University Press, 2008.
Markov and Coin ToGa. (With O. Marrero.)
Mathematics
and Computer Education 42,
2008.
Fibonacci matrices and modular forms.
Fibonacci Quarterly 48:4, 2010.
Pictorial moments of Coin ToGa. (With O. Marrero.)
Mathematics
and Computer Education 45,
2011.
A combinatorial problem on a directed graph. (With O. Marrero.)
Rev. Mat. Teor. Apl. 45, 2016.
Convergence of Poincaré series on Hecke groups of large width
.
Rocky Mountain Journal of Mathematics 49, 2019.
The multivariate probabilistic Josephus problem. (With O. Marrero.)
College Mathematics Journal, 2023.
UNDERGRADUATE COURSES
MAT 1230-1235/ Introductory
Statistics I-II
MAT 1320-1325/ Calculus for Liberal Arts I-II
MAT 1330-1335/ Calculus and Quantitative Analysis I-II
MAT 1500-1505-2500/ Calculus I-II-III
MAT 2600/ Foundations of Mathematics
MAT 3300/ Advanced Calculus
MAT 3305/ Topics in Analysis
MAT 3400/ Linear
Algebra
MAT 3500/ Modern
Algebra
MAT 3930/ History of Mathematics
MAT 4110/
Combinatorics
MAT 5110/
Topics in Geometry
MAT 5200/
Theory of Numbers