We present a collection of several natural questions about elliptic curves, mostly over finite fields, that have led to some interesting number theoretic questions and whose solutions require rather involved techniques from various area of number theory. Some of these questions are of intrinsic value for the theory of elliptic curves; they stem from their application to cryptography.
|Title of host publication||Advances in Applied Mathematics, Modeling, and Computational Science|
|Editors||Roderick Melnik, Ilias S. Kotsireas|
|Place of Publication||New York|
|Publisher||Springer, Springer Nature|
|Number of pages||26|
|Publication status||Published - 2013|
|Name||Fields Institute Communications|