We define theta functions attached to indefinite quadratic forms over real number fields and prove that these theta functions are Hilbert modular forms by regarding them as specializations of ...

Using the q-trigonometric definitions of Gosper, we devise a new q-exponential function. Based on this concept, we derive a number of identities involving the Jacobi theta functions. These ...

IN discussing algebraic curves and surfaces we have the choice of several distinct methods. Some authors rely upon Cremona transformations, by which the curve or surface is brought into correspondence ...

CAYLEY'S often-quoted simile which compares the province of mathematics with “a tract of beautiful country seen at first in the distance, but which will bear to be rambled through and studied in every ...

Cooper, S., & Lam, HY. (2017). Factorizations of theta function identities. New Zealand Journal of Mathematics. 47, 9-21 Retrieved from http://nzjm.math.auckland.ac ...

I am a Ph.D. graduate of Emory University (2018), having worked under the supervision of Ken Ono. My research interests lie primarily in number theory and combinatorics, in particular the theory of ...