Join us for our general Math, Sciences colloquium!

Zoom Meeting: https://georgiasouthern.zoom.us/j/88260728152

Convolution identities and the Fibonacci elliptic curve

Speaker:  Dr. Sungkon Chang

In Ramanujan's well-known work, a set of convolution identities on divisor functions are introduced, and his method inspired numerous works on convolution identities on divisor functions. However, little is known about convolution identities on divisor functions with modular congruence restrictions. In this talk we introduce convolution identities on divisor functions with modular congruence restrictions and a conjecture on the dimension of the space of such identities. We also introduce the Fibonacci elliptic curve and some identities on series involving the reciprocals of Fibonacci terms, which were encountered when we further developed the method of obtaining convolution identities.

About the Speaker

Dr. Sungkon Chang is Professor of Mathematics in the department of mathematical sciences at the Georgia Southern University. His research interest lies in the areas of number theory, and he has written papers about elliptic curves, eta functions and Zeckendorf's theorem, which were published in respected, peer-reviewed journals. Dr. Chang is also interested in fostering undergraduate mathematics. Under his mentorship, an undergraduate student won the outstanding presentation award at the MathFest, which is a national conference for undergraduate math-majors hosted by the Mathematical Association of America (MAA). The William Lowell Putnam Mathematical Competition is a college-level mathematical competition given annually by MAA, and since 2008 Dr. Chang has administered and supervised the Putnam competition, seminar and presentations at the Armstrong campus of Georgia Southern University.