Elisavet Konstantinou

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20062011

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math.NT2011

Ramanujan Invariants for discriminants congruent to $\mathbf{5\;mod \;24

Elisavet Konstantinou, Aristides Kontogeorgis

In this paper we compute the minimal polynomials of Ramanujan values $27 t_{n}^{- 12}$ for discriminants D\equiv5mod24. Our method is based on Shimura Reciprocity Law as which was made…

math.NT2008

Introducing Ramanujan's Class Polynomials in the Generation of Prime Order Elliptic Curves

Elisavet Konstantinou, Aristides Kontogeorgis

In this paper, we propose the use of Ramanujan class of polynomials for the construction of prime order elliptic curves using the CM-method. We compare (theoretically and experimen…

math.NT2006

Computing polynomials of the Ramanujan $t_{n}$ class invariants

Elisavet Konstantinou, Aristides Kontogeorgis

We compute the minimal polynomials of the Ramanujan values $t_{n}$ , where $n \equiv 11 mod 24$ , using Shimura reciprocity law. These polynomials can be used for defining the Hilbert…

Ramanujan Invariants for discriminants congruent to $\mathbf{5\;mod \;24

Introducing Ramanujan's Class Polynomials in the Generation of Prime Order Elliptic Curves

Computing polynomials of the Ramanujan tn​ class invariants

Computing polynomials of the Ramanujan $t_{n}$ class invariants