| Title |
Elipsinių kreivių L funkcijų išvestinės diskretusis universalumas / |
| Translation of Title |
Discrete Universality of the Derivatives of L-functions of Elliptic Curves. |
| Authors |
Baravykienė, Daina |
| Full Text |
|
| Pages |
22 |
| Keywords [eng] |
elliptic curves ; discrete universality ; derivatives |
| Abstract [eng] |
Let E be an elliptic curve over the field of rational numbers given by the Weierstrass equation y2 = ax3 + bx + c with integers a; b and c. Suppose that the discriminant = 16(4a3 +27b2) of the curve E is non-zero. Then the elliptic curve E is non-singular. Then the L-function of the elliptic curve E is the Euler product. The aim of this Master’s thesis is to prove the discrete universality theorem for the derivatives L-functions of elliptic curves over the field of rational numbers. In thesis we study the discrete universality of the derivatives of L-function L. The proof of discrete universality of the derivative L-functions of elliptic curves is based on a limit theorem in the sense of weak convergence of probability measures in the space of analytic functions. |
| Dissertation Institution |
Šiaulių universitetas. |
| Type |
Master thesis |
| Language |
Lithuanian |
| Publication date |
2020 |
