MEA I Slides
Fall 2014
Modern
Algebra
Number Theory
Linear Algebra and Theory Matrix Theory
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
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