The Number Theory Research Group at Ohio Northern University

Elementary and analytic number theory. Zeta functions.  Finite fields and their applications (cryptography, coding theory, etc). Equations over finite fields. Elliptic curves. Bernoulli numbers and Bernoulli polynomials. Euler sums. Stirling numbers. Combinatorial methods. Multiplicative partitions. Arithmetic functions. The greatest prime factor and related sequences. Ducci sequences. Fibonacci numbers. Computational number theory and computer simulations (MAPLE/MATLAB) Applications to engineering or physical sciences. Related topics in real and complex analysis, geometry, abstract algebra and differential equations.