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Abdulkadir Hassen Department of Mathematics
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Fall 2021
Linear Algebra Math 01 210 2 (CRN 42648) MW 9:30 – 10:45am, James 2101(Syllabus)
Calculus III Math 01 230 1 (CRN 42432) MTR 8:00 – 9:15am, James 2105 (Syllabus)
Real and Complex Analysis Math 01 361 1 (CRN 42415) MW 12:30 – 1:45pm, James 2102 (Syllabus)
Course materials can be found on Canvas
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For manuals for Mathematica click here
Research Interest Analytic and Algebraic Number Theory, Complex Analysis
1. Asfaw, N. and Hassen, A., (2020) Asymptotic Real Zeros of Hypergeometric Bernoulli polynomials, JP Journal of Algebra, Number Theory and Applications, Vol 49, No 1, 2021, Pages 51-75.
2. Wolde-Yohannes, E., Hassen A., and Legesse, H., (2019) Hypergeometric Bernoulli Polynomials And Numbers of Fractional Index, The Mathematics Student Vol 88, Nos 3-4, July – December, 2019. Pp 99-113.
3. Hassen A., Drissi, D, and Daulte, S. (2019) Hypergeometric Frobenius-Bernoulli Polynomials and Numbers, (Submission 56 to Int. J. Notes on Number Theory and Discrete Mathematics.
4. Abdul Hassen and Chris Ernest (2018) A Simple Generalization of Euler Numbers and Polynomials, Journal of Indian Mathematical Society, Vol. 85, Nos. (3–4) (2018), 328–341. DOI: 10.18311/jims/2018/20981
5. Abdul Hassen and Chris Ernest (2016), Convolution Theorems for Hyperbolic Bernoulli Numbers and Polynomials, SINET, Ethiopian J of Science, Vol. 39 No 1(2016), 1–10.
6. Polynomials of Fraction Index (with Wolde-Yohannes, E. and Legesse, H), Submitted and under Review (Reference No. MS/JRP/15/39).
7. Hypergeometric Frobenius-Bernoulli Polynomials and Numbers, (with Drissi. D. and Daulte, S.) Submitted and under revision.
8. Triangles on the Lattice of Integers (with Roibal, A), to appear Mathematics and Computer Education Journal
9. Fractional Hypergeometric Zeta Functions (with Legesse, H.), Ramanujan Journal, (DOI) 10.1007/s11139-015-9717-5
10. Moments of Hypergeometric Hurwitz Zeta Functions (with Hieu Nguyen), Journal of Algebra, Number Theory: Advances and Applications, Vol. 7, No. 2, 2012, pp. 109-129.
11. A Zero Free Region for Hypergeometric Zeta Functions (with Hieu Nguyen), Intern. J. Number Theory 7 (2011), No. 4, pp. 1033-1043.
12. Hypergeometric Zeta Functions (with Hieu Nguyen), Intern. J. Number Theory 6 (2010), No. 1, pp. 99-126.
13. Hypergeometric Bernoulli Polynomials, (With Robert Booth), Journal of Algebra and Number Theory Academia, (2011), Vol.2, Issue 1,pp. 1 – 7.
14. A Remark on Nondiscrete Hecke Groups, Journal of Algebra, Number Theory and Applications, Vol14, Issue 2, 2012, pp. 221-226.
15. On Generalization of Lambert’s Series (with Tom Osler), International Journal of Pure and Applied Mathematics, Vol. 43 No. 4 (2008), 465-484.
16. The Distribution of Relatively Prime Numbers (with Matt Oster), Mathematics and Computer Education. Vol. 42, No. 5, pp.767-774.
17. Hypergeometric Bernoulli Polynomials and Appell Sequences (with Hieu Nguyen), Intern. J. Number Theory 4 (2008), No. 5, pp. 767-774
18. The Error Zeta Function (with Hieu Nguyen), Intern. J. Number Theory, 3 (2007), No. 3, 439-453.
19. Translation of Euler’s Paper E797 (with Kathryn Roberts), Euler Archive.
20. The Riemann Zeta Function and its Application in Number Theory (with Marvin Knopp), Hissab: Ethiopian Journal of Mathematics. Vpl 7, No. 5. pp. 1-29
21. The Unlikely Union of Partitions and Divisors (with T Osler and T. R. Chandrupatla), The College Mathematics Journal, 38(2007), pp. 278-287.
22. A Table of the Partition Function (with T Osler and TR Chandrupatla) The Mathematical Spectrum, 34 (2001/2002), pp. 55 - 57.
23. Playing on the Computer with Partition (with T Osler) Mathematics and Computer Education, Vol. 35, No. 1, Winter 2001, pp. 5 -17
24. Log-Polynomial Period Functions for Nondiscrete Hecke Groups, The Proc. Amer. Math. Soc. 128 (2000), pp. 387- 396
25. Log-Polynomial Period Functions for Hecke Groups, The Ramanujan Journal,3, (1999), pp.119-151
26. Maximum Principles for Some Second Order Non-Homogeneous Semilinear Equations (with G. Porru and A. Zeleke), Bollettino U.M. I. (7) 5-A (1991), 245-252.
Invited Lectures
1. Application of the Riemann Zeta Function to Number Theory, August 10, 2019, Mathematics Department Colloquium, Adama University, Adama, Ethiopia
2. Hyperbolic Euler and Bernoulli Numbers, The Graduate Center Seminar, CUNY, April 12, 2019
3. Modular Forms and Their Applications to Number Theory, August 10, 2018, Mathematics Department Colloquium, Hawassa University, Hawassa, Ethiopi
4. Hyperbolic Euler Numbers and Polynomials (with Chris Ernst), August 23, 2018, Mathematics Department Colloquium, Adama Science and Technology University, Adama, Ethiopia
5. Topics in Complex Analysis II, Addis Ababa University, December 26, 2013 to January 5, 2014 Addis Ababa, Ethiopia
6. Introduction to Distribution Theory , Addis Ababa University, January 8 to January 15, 2014, Addis Ababa, Ethiopia
7. Topics in Analytic Number Theory I, Addis Ababa University, December 26, 2009 to January 13, 2010, Addis Ababa, Ethiopia
8. Topics in Analytic Number Theory II, Addis Ababa University, July 10, 2012 to August 4, 2012, Addis Ababa, Ethiopia
9. 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