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School
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Department of Mathematics and Statistics
University of North Carolina
Greensboro, NC 27402
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Office
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Bryan 339
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Phone
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(336)
256-1113 |
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E-mail
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f_saidak@uncg.edu
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Home
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http://www.uncg.edu/~f_saidak
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Degrees
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Ph.D. - Queen's University, Kingston, Ontario, Canada, 2001
M.Sc. - Queen's University, Kingston, Ontario, Canada, 1999
B.Sc. - The University of Auckland, New Zealand, 1997
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Research
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Prime numbers and their distribution
Theory of the Riemann zeta function
Aritmetical functions
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Grants
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New Faculty Grant 2007/08 (University of North Carolina)
Project: Location of zeros of the Riemann zeta function and its derivatives
(jointly with S. Pauli)
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Editorial Board
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Involve (Electronic Journal of Mathematics - Wake Forest University)
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Publications
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Descartes Numbers
Anatomy of Integers, (accepted), 2007
(jointly with W. Banks, A. Guloglu and W. Nevans)
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2007
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On the prime number lemma of Selberg
Mathematica Scandinavica, 5 pp., (accepted), February 2007
Remarks on linear recurrences of the form yn = yn-1 + an-2 yn-2
12th International Conference on Fibonacci Numbers, San Francisco (2006), 14pp.
(jointly with K. Berenhaut and A. O'Keefe)
Zhou's theory of constructing identities
12th International Conference on Fibonacci Numbers, San Franciscoc (2006), 11pp.
(jointly with F. Howard)
A note on the maximal coefficients of squares of Newman polynomials
Journal of Number Theory, Vol. 125, No. 2, 285-288, 2007.
(jointly with K. Berenhaut)
Bounds for recurrences on ranked posets
International J. Contemporary Math. Sciences, Vol. 2, no. 19, 929-942, 2007
(jointly with K. Berenhaut and A. O'Keefe)
Kloosterman sums and van der Corput-type sequences
Uniform Distribution Theory, Vol. 2 (2007), no. 1., 39-52.
(jointly with W. Banks and M. Sakata)
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2006
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A new proof of Euclid's theorem
American Math. Monthly, Vol. 113, No. 10, 937-938, 2006
On Goldbach's Conjecture for integer polynomials
American Math. Monthly, Vol. 113, No. 6, 541-546, 2006
Arithmetic properties of class numbers of imaginary quadratic fields
JP Journal of Algebra, Number Theory and Appl., Vol. 6, No. 1, 129-148, 2006
(jointly with S. Hamdy)
Recursive sequences of the form yn = an yn-1 + yn-2 with integer coefficients
Indian Journal of Math., Vol. 48, No. 1, 1-16, 2006
(jointly with K. Berenhaut and A. O'Keefe)
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2005
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New Erdös-Kac type theorems
Archiv der Mathematik (Basel), Vol. 85, No. 4, 345-361, 2005
Compositions with the Euler and Carmichael functions
Abh. Math. Sem. Univ. Hamburg, 75, 215-243, 2005
(jointly with W. Banks, F. Luca and P. Stanica)
Values of arithmetical functions equal to a sum of two squares
Quart. J. Math. Oxford, Vol. 56, No. 2, 123-139, 2005
(jointly with W. Banks, F. Luca and I. Shparlinski)
Riemann and his zeta function
Morfismos, Vol. 9, No. 2, 1-48, 2005
(jointly with E. Kudryavtseva and P. Zvengrowski)
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2004
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Non-abelian generalizations of the Erdös-Kac theorem
Canadian Journal of Math., Vol. 56, No. 2, 356-372, 2004
(jointly with R. Murty)
On the logarithmic derivative of the Euler Product
Tatra Mountains Math. Publ. (Tatracrypt `03), Vol. 29, 113-122, 2004
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2003
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Squarefree values of the Carmichael function
Journal of Number Theory, Vol. 103, No. 3, 122-131, 2003
(jointly with F. Pappalardi and I. Shparlinski)
On the modulus of the Riemann zeta function in the critical strip
Mathematica Slovaca, Vol. 53, No. 2, 145-172, 2003
(jointly with P. Zvengrowski)
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2002
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The normal number of prime factors of fa(n)
J. Ramanujan Math. Soc., Vol. 17, No. 1, 19-33, 2002
An elementary proof of a theorem of Delange
Comptes Rendus Acad. Sci. Canada, Vol. 24, No. 4, 144-151, 2002
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2001
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On non-abelian Generalizations of the Erdös-Kac Theorem
Doctoral Dissertation, Queen's University, Kingston, Canada, 2001
(advisor R. Murty)
Some conjectures about distribution of prime numbers
Masters Thesis, Queen's University, Kingston, Canada, 1999
(advisor R. Murty)
Erdös Conjecture I.
Smarandache Notions J., Vol. 9, No. 1-2, 106-112, 1998
Letter to the Editor
American Math. Monthly, Vol. 105, no. 4, p. 392, 1998
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Undergraduate
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Theory of the distribution of prime numbers
B.Sc.(Hons) Thesis, University of Auckland, New Zealand, 1997
(advisor G. J. Tee)
Problem 590
College Math. Journal, Vol. 27, No. 5, p. 405, 1996
Analytic prime formulas
The University of Auckland (unpublished), 12 pp., 1996
Problem 28.3
Mathematical Spectrum, Vol. 28, No. 3, p. 21, 1995/96
Roseberry's conjecture
Mathematical Spectrum, Vol. 28, No. 2, p. 33, 1995/96
Problem 560
College Math. Journal, Vol. 26, No. 4, p. 330, 1995
Letter to the Editor
Mathematical Spectrum, Vol. 27, No. 3, p. 67, 1994/95
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Conferences Organized
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SERMON (SouthEast Regional Meeting On Numbers)
Wake Forest University, North Carolina
April 20-22, 2007
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Conference +
Invited Talks
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Sharper Selberg's Lemma
20-th SERMON, Wake Forest University, NC, April 2007
Foundations of Probabilistic Number Theory
University of North Carolina, Chapel Hill, NC, April 2007
Prime numbers and their distribution
Plenary Talk - 2nd Annual RUMC, Greensboro, NC, November 2006
Descartes Numbers
19-th SERMON, Furman University, SC, March 2006
Zeros of the Riemann zeta function
University of North Carolina, Greensboro, NC, March 2006
On the distribution of prime numbers
Wake Forest University, Winston-Salem, NC, April 2005
The distribution of prime numbers
University of Missouri, Kansas City, MO, April 2005
Remarks on the modulus of the Riemann zeta function in the critical strip II.
Illinois Number Theory Conference, Urbana, IL, May 2004
On Euler Products
Tatracrypt 2003, Bratislava, SK, June 2003
Remarks on the modulus of the Riemann zeta function in the critical strip
Hugh Williams' 60th birthday Conference, Banff, AB, May 2003
On a theorem of Erdös
7th Meeting of the Canadian Number Theory Assoc., Montreal, QC, May 2002
Differences between primes
West Coast Number Theory Conference, Asilomar, CA, December 2001
On a conjecture of Erdös and Pomerance
Seaway Number Theory Conference, Ottawa, ON, May 2001
On zero-free regions of the Riemann zeta function
CMS Winter Meeting, Kingston, ON, December 1998
New Analytic Methods in Prime Number Theory
The Fifth Australasian Math. Convention, Auckland, NZ, July 1997
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Refereeing
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Acta Mathematica Univ. Comenianae
American Mathematical Monthly
Ars Combinatoria
Boletin Soc. Mat. Mexicana
Discrete Applied Mathematics
Dynamics of Continuous, Discrete and Impulsive Systems
Electronic Journal of Combinatorial Number Theory
Fields Institute Communications
Indian Journal of Mathematics
Journal of Integer Sequences
Journal of Number Theory
Journal of Zhejiang University (Science)
Mathematics of Computation
Utilitas Mathematica
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Interests
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Analytic Number theory
(Riemann zeta function, Dirichlet L-functions)
MSC2000 = 11M06, 11M26, 11M36, 11M45, 11N05, 11N13
Probabilistic Number Theory
(theorems of Erdös-Kac, Wintner, Kubilius and Raikov)
MSC2000 = 11K31, 11K65, 11K70, 11N37, 11N56
Algebraic Number Theory
(Chebotarev density theorem, class numbers)
MSC2000 = 11R09, 11R20, 11R29, 11R32
Elementary Number Theory
(properties of primes, divisors, arithmetical functions)
MSC2000 = 11A05, 11A07, 11A25, 11A41
Computational Number Theory
(primality, factorization)
MSC2000 = 11Y05, 11Y11
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Reviewing
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Mathematical Reviews - http://www.ams.org/mathscinet
2001-2007 (25 papers)
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2005
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De Koninck, J.-M. & Luca, F. - Integers divisible by the sum of their prime factors, Mathematika, 52, no. 1-2, 69-77.
Báez-Duarte, L. - A general strong Nyman-Beurling criterion for the Riemann hypothesis, Publ. Inst. Math. (Beograd) (N.S.)
78 (92), 117-125.
Kátai, I. - On the number of prime divisors of the iterates of the Carmichael function, Math. Pannon., 16, no. 2, 205-209.
Kátai, I. - Square-free values of the Carmichael function, Math. Pannon., 16, no. 2, 199-203.
Liu, Y.-R. - A prime analogue of the Erdös-Pomerance conjecture for elliptic curves, Comment. Math. Helv., 80, no. 4, 755-769.
Wolke, D. - Primes with preassigned digits, Acta Arith., 119, no. 2, 201-209.
Pappalardi, F. - A survey on k-freeness, Ramanujan Math. Soc. Lect. Notes Ser., 1, 71-88.
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2004
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Li, S. - An improvement of Artin's conjecture on average for composite moduli, Mathematika, 51, no. 1-2, 97-109.
Kamiya, Y. & Suzuki, M. - An asymptotic formula for a sum involving zeros of the Riemann zeta-function, Publ. Inst. Math. (Beograd) (N.S.), 76 (90), 81-88.
Laurinčikas, A. & Macaitiene, R. - Discrete limit theorems for general Dirichlet series. III., Cent. Eur. J. Math., 2, no. 3, 339-361.
Liu, Y.-R. - A generalization of the Erdös-Kac theorem and its applications, Canad. Math. Bull., 47, no. 4, 589-606.
Liu, Y.-R. - A generalization of the Turán theorem and its applications, Canad. Math. Bull., 47, no. 4, 573-588.
Harman, G., Watt, N. & Wong, K. - A new mean-value result for Dirichlet L-functions and polynomials, Q. J. Math., 55, no. 3, 307-324.
Yoo, J. - Infinitely many primes of the form An+1: another elementary proof, Commun. Korean Math. Soc., 19, no. 2, 205-210.
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2003
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Pappalardi, F. - Square-free values of the order function, New York J. Math., 9, 331-344.
Bauer, F. L. - Why Legendre made a wrong guess about pi(x), and how Laguerre's continued fraction for the logarithmic integral improved it,
Math. Intelligencer, 25, no. 3, 7-11.
Li, S. & Pomerance, C. - On generalizing Artin's conjecture on primitive roots to composite moduli,
J. Reine Angew. Math., 556, 205-224.
Puchta, J.-C. - Primes in short arithmetic progressions, Acta Arith., 106, no. 2, 143-149.
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2002
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Manstavičius, E. - Functional limit theorem for sequences of mappings on the symmetric group,
Analytic and probabilistic methods in number theory, 175-187, TEV, Vilnius.
Šiaulys, J. - On the separation of distributions of additive functions,
Analytic and probabilistic methods in number theory, 297-302, TEV, Vilnius.
Vu, V. H. - Chernoff type bounds for sums of dependent random variables and applications in additive number theory,
Number theory for the millennium III, 341-356.
Manstavičius, E. - Functional limit theorems in probabilistic number theory, Paul Erdös and his mathematics, I,
465-491, Bolyai Soc. Math. Stud., 11.
Kubilius, J. - On the remainder term in the limit theorems for additive arithmetical functions,
Paul Erdös and his mathematics, I, 355-362, Bolyai Soc. Math. Stud., 11.
Durán, A. - The cardinality of n2+1, Internat. J. Math. Ed. Sci. Tech., 33, no. 6, 907-910.
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2000
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Balanzario, E. P. - On Dirichlet polynomial approximations to the Riemann zeta function,
Aportaciones Mat. Comun., 27, Soc. Mat. Mexicana, México.
Zentralblatt Math. - http://www.zentralblatt-math.org/zmath/en
2004-2007 (5 papers + 1 book)
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Teaching
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Fall 2007 (UNC-G): MAT 292 - Calculus II.
Fall 2007 (UNC-G): MAT 540 - Complex Functions and Applications
Textbook: T. Needham - Visual Complex Analysis
Oxford University Press, 1999 (ISBN 0-19-853446-9)
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2006/07
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Spring 2007 (UNC-G): MAT 150 - Precalculus (Online)
Spring 2007 (UNC-G): MAT 120 - Business Calculus
Spring 2007 (UNC-G): MAT 293 - Calculus III.
Fall 2006 (UNC-G): MAT 120 - Business Calculus
Fall 2006 (UNC-G): MAT 292 - Calculus II.
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2005/06
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Spring 2006 (Wake Forest U.): Math 112 - Calculus II.
Spring 2006 (Wake Forest U.): Math 117 - Discrete Mathematics
Fall 2005 (Wake Forest U.): Math 111 - Calculus I.
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2004/05
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Fall 2004 (U. of Missouri): Math 1300 - Finite Mathematics and Appl.
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2003/04
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Spring 2004 (U. of Missouri): Math 201 - Calculus III.
Fall 2003 (U. of Missouri): Math 60 - Finite Mathematics
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2001/02
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Summer 2002 (U. of Calgary): Math 253 - Calculus II.
Spring 2002 (U. of Calgary): Math 271 - Discrete Mathematics
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Links
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Number Theory
European Journals
Hardy-Ramanujan Journal
Pacific Journal of Mathematics
Journal Storage
Archives
History
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