Summer 2014
Linear Algebra
Number Theory
(graduate)
Engineering Applications of
Analysis (graduate)
Course
materials can be found on Blackboard
For other courses I have taught click here
For manuals for Mathematica and Graphing
Calculators go
here.
The
mathematics Department offers a dual Bachelor’s of Science and Master’s of Arts degrees in Mathematics. For
details click here.
Research
Interest Analytic
and Algebraic Number Theory, Complex Analysis
Publications
1. Moments of
Hypergeometric Hurwitz Zeta Functions (with Hieu Nguyen), in preparation.
2. Hypergeometric
Zeta Functions (with Hieu Nguyen), (2008) to
appear in Intern. J. Number Theory. (pdf)
3. Translation
with notes of Euler’s paper E797 (with Kathryn Robertson) Recherches sur le probléme de quatre nombres positives et en proportion arithmétique
tels, que la somme de deux quelconques
soit toujours un nombre carré: Research
into the problem of four positive numbers and such an arithmetic proportion of
them, that the sum of any two of them is always a square number.”, to
appear on the web at the Euler Archive
4. On
Generalization of Lambert’s Series (with Tom Osler), International Journal
of Pure and Applied Mathematics, Vol. 43 No. 4 (2008), 465-484.
5. The
Distribution of Relatively Prime Numbers (with Matt Oster), to appear in
Mathematics and Computer Education.
6. Hypergeometric
Bernoulli Polynomials and Appell Sequences (with
Hieu Nguyen), to appear in Intern. J. Number Theory. (pdf)
7. The
Error Zeta Function (with Hieu Nguyen), Intern. J. Number Theory, 3
(2007), No. 3, 439-453.
8. A Zero
Free Region for Hypergeometric Zeta Functions (with Hieu Nguyen), Preprint (2005) (pdf)
9. The
Riemann Zeta Function and its Application in Number Theory (with Marvin Knopp) to appear in Hissab:
Ethiopian Journal of Mathematics (pdf)
10. The Unlikely Union of Partitions
and Divisors, (with T Osler and T. R. Chandrupatla), The
College Mathematics Journal, 38(2007), pp. 278-287. (pdf)
11. A Table of the Partition
Function, (with T Osler and TR Chandrupatla) The
Mathematical Spectrum, 34 (2001/2002), pp. 55 - 57. (pdf)
12. Playing on the Computer with
Partition, (with T Osler) Mathematics and Computer Education, Vol. 35, No.
1, Winter 2001, pp. 5 -17 (pdf)
13. Finite Order Elements of
Nondiscrete Hecke Groups (preprint 2001)(pdf)
14. Log-Polynomial Period Functions
for Nondiscrete Hecke Groups, The
Proc. Amer. Math. Soc. 128 (2000), pp. 387- 396 (pdf)
15. Log-Polynomial Period Functions
for Hecke Groups, The Ramanujan
Journal,3, 119-151(1999)(pdf)
16. Maximum Principles for Some
Second Order Non-Homogeneous Semilinear Equations.
Bollettino U.M. I. (7) 5-A (1991), 245-252.(with G. Porru and A. Zeleke)
Talks
1. The Hecke-Bochner Correspondence and the Dissertation of Sister
Ann Heath, March 18 and 25, 2008, Number Theory Seminar, Temple,
University, Philadelphia, PA.
2. A
Generalization of Riemann Zeta Function, October 26, 2007, Mathematics
Colloquium, Villanova University, Villanova, PA
3. The Error Zeta
Function. January 6, 2008, Joint Mathematics Meetings, San Diego, CA
4. A
Generalization of Riemann Zeta Function, October 23, 2007, Mathematics
Colloquium, Villanova University, Villanova, PA.
- The
Error Zeta Function January 6, 2008, Joint
Mathematical Meetings, San Diego, CA
- Zero
Free Region for a Hypergeometric Zeta Function January 6, 2007, Joint Mathematical Meetings, New Orleans, LA
- Hypergeometric
Zeta Functions, January 10,
2006,Conference on Modular Forms and Related Topics in Honor of Marvin Knopp’s 73^{rd} Birthday, Philadelphia, PA
- "A
functional inequality for Hypergeometric zeta - functions" Feb
23, 2005, Temple Number Theory Seminar
- Hypergeometric
Zeta Function Part II, November, 2004 Rowan Math Colloquium.
- Sum
of Divisors and Partitions, October 30, 2002, Rowan Math Colloquium.
- "Multiplier
Systems for Hecke Groups" on January
20, 2000, at the Joint Mathematics Meetings Washington D.C.
- "Automorphic
Integrals and Hecke Groups," on March 17, 1998, at the 943^{rd}
Central Sectional Meeting of the AMS held in Urbana, IL.
- "Dirichlet
Series with Functional Equation Associated with the Modular Group" February
24, 1999 at the Mathematics Seminar of William Paterson University.
- "2
by 2 Matrices of Finite Order" March
21, 1999 at the Math-Physics Seminar of Rowan U.
- "Log-Polynomial
Period Functions of Positive Weight," April 4,1998, at
93rd Northeastern Sectional Meeting of the AMS, Philadelphia,
PA
- "Dirichlet
series with pre-assigned poles associated with the non-discrete Hecke Groups",
April 8, 1997, at The Number Theory Seminar of the Mathematics Department,
Temple U.
- "Automorphic
Integrals of Positive Weight for Hecke
Groups" December 18, 1997 at the West
Coast Number Theory Conference held in Asilomar,
CA.
- "Dirichlet
series with pre-assigned poles satisfying a functional equation."
June 8, 1997, at a seminar at Bryn Mawr College,
PA.
- The
History of Fermat's Last Theorem and its Proof for Special Cases",
April 12, 1997 at the Mathematics-Physics seminar, Rowan University
I
was a member of the organizing committee for Number Theory Conference in Honor of Marvin Knoppâ€™s 73^{rd} Birthday, January 9 - 10, 2006, Philadelphia, PA
Click
here for pictures
Ethio Math Forum
Other links