Abdulkadir Hassen

Department of Mathematics
Rowan University
Glassboro, NJ 08028.
Hassen@rowan.edu
Phone (856) 256-4500 ext. 3888

 


 

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 click here

 


  

Research Interest      Analytic and Algebraic Number Theory, Complex Analysis


 

 

Publications

 

  1. Fractional Hypergeometric Zeta Functions   (with Hunduma Legesse) preprint (2013) (pdf)
  2. Series Representation of the Second Order Hypergeometric Zeta Function (With Hunduma Legesse) Preprint (2013) (pdf
  1. Triangles on the Lattice of Integers (with Andrew Roibal) (2013) submitted (pdf)
  2. Moments of Hypergeometric Hurwitz Zeta Functions (with Hieu Nguyen), J. Algebra, Number Theory: Advances and Applications Vol 7 (2012), No. 2, pp. 109-129. (pdf)
  3. Hypergeometric Bernuolli Polynomials (with Robert Booth), J. for Algebra and Number Theory Academia, Vol. 2, Issue 1, (2011), pp 1-7. (pdf)   
  4. A Zero Free Region for Hypergeometric Zeta Functions (with Hieu Nguyen), Intern. J. Number Theory 7 (2011), No. 4, pp. 1033-1043. (pdf)
  5. Hypergeometric Zeta Functions (with Hieu Nguyen), Intern. J. Number Theory 6 (2010), No. 1, pp. 99-126 (pdf)
  6.   Hypergeometric Bernoulli Polynomials and Appell Sequences (with Hieu Nguyen), Intern. J. Number Theory 4 (2008), No. 5, pp. 767-774. (pdf)
  7.    The Riemann Zeta Function and its Application in Number Theory (with Marvin Knopp) Hissab: Ethiopian Journal of Mathematics, Section B, Vol. 6, No, 2, (2009) pp 17- 50. (pdf)
  8. Translation with notes of Euler’s paper E797 (with Kathryn Robertson)    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.”, Euler Archive (2009) (pdf)
  9. On numbers equal to the sum of two squares in more than one way,  (with Ming-Sun Li, Kathryn Robertson, Tom Osler, Christopher S. Simons and Marcus Wright). Mathematics and Computer Education, 43(2009), pp. 102-108. (pdf)
  10. Finite Order Elements of Nondiscrete Hecke Groups, J. Algebra, Number Theory: Advances and Applications Vol 14 (2009), Issue. 2, pp. 221-226. (pdf)
  11. On Generalization of Lambert’s Series (with Tom Osler), International Journal of Pure and Applied Mathematics, Vol. 43 No. 4 (2008), pp. 465-484.(pdf)
  12. The Distribution of Relatively Prime Numbers (with Matt Oster), Mathematics and Computer Education, Winter 2008. (pdf)
  13. The Error Zeta Function (with Hieu Nguyen), Intern. J. Number Theory, 3 (2007), No. 3, pp. 439-453. (pdf)
  14. The Unlikely Union of Partitions and Divisors, (with T Osler and T. R. Chandrupatla), The College Mathematics Journal, 38(2007), pp. 278-287. (pdf)
  15. A Table of the Partition Function, (with T Osler and TR Chandrupatla) The Mathematical Spectrum, 34 (2001/2002), pp. 55 - 57.  (pdf)
  16. Playing on the Computer with Partition, (with T Osler) Mathematics and Computer Education, Vol. 35, No. 1, Winter 2001, pp. 5 -17  (pdf)
  17. Log-Polynomial Period Functions for Nondiscrete Hecke Groups, The Proc. Amer. Math. Soc. 128 (2000), pp. 387- 396 (pdf)  
  18. Log-Polynomial Period Functions for Hecke Groups, The Ramanujan Journal,3, pp. 119-151(1999)(pdf)
  19. Maximum Principles for Some Second Order Non-Homogeneous Semilinear Equations. Bollettino U.M. I. (7) 5-A (1991), pp. 245-252.(with G. Porru and A. Zeleke)

Invited Lectures

1.      Topics in Complex Analysis II,  Addis Ababa University, December 26, 2013 to January 5, 2014 Addis Ababa, Ethiopia

2.      Introduction to Distribution Theory , Addis Ababa University, January 8 to January 15, 2014, Addis Ababa, Ethiopia

3.      Topics in Analytic Number Theory I, Addis Ababa University, December 26, 2009 to January 13, 2010, Addis Ababa, Ethiopia

4.      Topics in Analytic Number Theory II, Addis Ababa University, July 10, 2012 to August 4, 2012, Addis Ababa, Ethiopia

5.      A Short Course in Partial Differential Equations, Adama University, July 4 to 9, 2012  Adama, Ethiopia,

 

Talks

1.      Hypergeometric Zeta Functions, Hawassa University, August 13, 2014, Hawassa, Ethiopia.

2.       Hypergeometric Bernoulli Polynomials and Apell Sequences, Wollo University, Agust 22, 2014

3.      Undergraduate Research in Mathematics. Madawalabu University, July 16, 2013, Robe, Bale, Ethiopia.

4.      A Generalization of Riemann’s Zeta Function. Conference in Memory of Dr. Demissu Gemeda, July 4, 2009, Addis Ababa University, Addis Ababa, Ethiopia.

5.       The Hecke-Bochner Correspondence and the Dissertation of Sister Ann Heath, March 18 and 25, 2008,  Number Theory Seminar, Temple, University, Philadelphia, PA.

6.      A Generalization of Riemann Zeta Function, October 26, 2007, Mathematics Colloquium, Villanova University, Villanova, PA

7.       The Error Zeta Function. January 6, 2008, Joint Mathematics Meetings, San Diego, CA

8.      A Generalization of Riemann Zeta Function, October 23, 2007, Mathematics Colloquium, Villanova University, Villanova, PA

9.      The Error Zeta Function January 6, 2008, Joint Mathematical Meetings, San Diego, CA

10.  Zero Free Region for a Hypergeometric Zeta Function January 6, 2007, Joint Mathematical Meetings, New Orleans, LA

11.  Hypergeometric Zeta Functions, January 10, 2006,Conference on Modular Forms and Related Topics in Honor of Marvin Knopp’s 73rd Birthday, Philadelphia, PA

12.  "A functional inequality for Hypergeometric zeta - functions"  Feb 23, 2005,  Temple Number Theory Seminar

13.  Hypergeometric Zeta Function Part II, November, 2004 Rowan Math Colloquium.

14.  Sum of Divisors and Partitions, October 30, 2002, Rowan Math Colloquium.

15.  "Multiplier Systems for Hecke Groups" on January 20, 2000, at the Joint Mathematics Meetings Washington D.C.

16.  "Automorphic Integrals and Hecke Groups," on March 17, 1998, at the 943rd Central Sectional Meeting of the AMS held in Urbana, IL.

17.  "Dirichlet Series with Functional Equation Associated with the Modular Group" February 24, 1999 at the Mathematics Seminar of William Paterson University.

18.  "2 by 2 Matrices of Finite Order" March 21, 1999 at the Math-Physics Seminar of Rowan U.

19.  "Log-Polynomial Period Functions of Positive Weight," April 4,1998, at  93rd Northeastern Sectional  Meeting of the AMS, Philadelphia, PA 

20.  "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.

21.  "Automorphic Integrals of Positive Weight for Hecke Groups" December 18, 1997 at the West Coast Number Theory Conference held in Asilomar, CA.

22.  "Dirichlet series with pre-assigned poles satisfying a functional equation." June 8, 1997, at a seminar at Bryn Mawr College, PA.

23.  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 the Number Theory Conference in Honor of Marvin Knopp’s 73rd Birthday, January 9 - 10, 2006, Philadelphia, PA

Click here for pictures