Department of Mathematics

College of Science & Technology

Central Michigan University


Sidney Graham

Professor

Ph.D., University of of Michigan, 1977


Address: 220 Pearce Hall

Phone:     (989) 774-3813

Email:      graha1sw@cmich.edu


Additional Information:  Dr. Graham's Home Page

Research Program and Goals:

My work involves applying complex and Fourier analysis to understand the properties of the natural numbers. I am particularly interested in questions that involve the interplay between the multiplicative and additive structure of the integers such as Goldbach’s Conjecture (every even integer greater than 4 is a sum of two primes) and the Twin Prime Conjecture (there are infinitely many primes p such that p+2 is also prime).


Selected Publications and Presentations:

Publications:

P. Erdos, S.W. Graham, A. Ivic, and C. Pomerance, ñOn the divisors of n!,îAnalytic Number Theory, Proceedings of a Conference in Honor of Heini Halberstam, ed. by B. C. Berndt, H. G. Diamond, A. J. Hildebrand, Birkhauser 1996,. 337-355.

S.W. Graham, Jeffrey J. Holt, and Carl Pomerance, ñOn the solutions to f(n) = f(n+k)î, Number Theory in Progress, Proceedings of the International Conference on Number Theory in Honor of the 60th  birthday of Andrzej Schinzel, Walter de Gruyter, 1999, pages 867-882.

S.W. Graham, ñBh Sequences,î Analytic Number Theory, Proceedings of a Conference in Honor of  Heini Halberstam, ed. by B. C. Berndt, H. G. Diamond, A. J. Hildebrand, Birkhauser  1996, pp. 431-449.

S.W. Graham and C. Ringrose,  “Lower bounds for least quadratic non--residues,” Analytic Number Theory  (edited by B. Berndt, H. Halberstam, H. Diamond, and A. Hildebrand, Birkh\"auser, Boston, 1990) 269--309.

S.W. Graham, “Moments of gaps between k-free numbers,” Journal of Number Theory, 44 (1993) 105--117.


Presentations:

"An asymptotic estimate related to Selberg's sieve II,î invited presentation at special session on Analytic Number Theory, American Mathematical Society meeting,  Toronto, September 2000.

"Do You Want to Be a Millionaire? Prove Goldbach's  Conjecture!î Colloquium, CMU, September 2000.

ñHow to be a Genius at Peg Solitaire,î Alma College, December 1999

ñAn overview of the Mathematical Sciences Division at NSF, or How hard can it be to spend $97 Million?,î Kent State University, January 1999.

ñThe VIGRE Program,î Kent State University, January 1999.



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