An explicit description of the trace of Frobenius is given for any elliptic curve over ℚ of the form y² = x³ + dx This description leads to an algorithm which computes the trace at a cost of one modular exponentiation
In this thesis, we find the E-polynomials of a family of parabolic symplectic character varieties o...
For a positive integer d which is not a square, we show that there is at most one value of the posit...
This is a review paper on recent results for different types of generalized ordinary differential eq...
An explicit description of the trace of Frobenius is given for any elliptic curve over ℚ of the form...
Harron and Snowden counted the number of elliptic curves over $\mathbb{Q}$ up to height $X$ with tor...
Abstract A ( v , Γ , λ ) difference graph in an additive group G of order v is a copy of an abstract...
Inspired by some iterative algorithms useful for proving the real analyticity (or the Gevrey regular...
Let $E$ be a non-CM elliptic curve defined over $\mathbb {Q}$. Fix an algebraic closure $\overline{\...
Let K be a totally real number field and consider a Fermat‐type equation A a p + B b q = C c r $Aa^p...
We consider elliptic curves $E / \mathbb{Q}$ for which the image of the adelic Galois representation...
Associated to an open subgroup $G$ of $\GL_2(\Zhat)$ satisfying conditions $-I \in G$ and $\det(G) \...
Let $K$ be a multiquadratic extension of $\mathbb{Q}$ and let $\text{Cl}^{+}(K)$ be its narrow class...
In this paper we analyze the shape of fattened sets; given a compact set C⊂RN let Cr be its r-fatten...
Assuming that Siegel zeros exist, we prove a hybrid version of the Chowla and Hardy-Littlewood prime...
In ECC, scalar multiplication is the dominant operation, namely computing nP from a point P on an el...
In this thesis, we find the E-polynomials of a family of parabolic symplectic character varieties o...
For a positive integer d which is not a square, we show that there is at most one value of the posit...
This is a review paper on recent results for different types of generalized ordinary differential eq...
An explicit description of the trace of Frobenius is given for any elliptic curve over ℚ of the form...
Harron and Snowden counted the number of elliptic curves over $\mathbb{Q}$ up to height $X$ with tor...
Abstract A ( v , Γ , λ ) difference graph in an additive group G of order v is a copy of an abstract...
Inspired by some iterative algorithms useful for proving the real analyticity (or the Gevrey regular...
Let $E$ be a non-CM elliptic curve defined over $\mathbb {Q}$. Fix an algebraic closure $\overline{\...
Let K be a totally real number field and consider a Fermat‐type equation A a p + B b q = C c r $Aa^p...
We consider elliptic curves $E / \mathbb{Q}$ for which the image of the adelic Galois representation...
Associated to an open subgroup $G$ of $\GL_2(\Zhat)$ satisfying conditions $-I \in G$ and $\det(G) \...
Let $K$ be a multiquadratic extension of $\mathbb{Q}$ and let $\text{Cl}^{+}(K)$ be its narrow class...
In this paper we analyze the shape of fattened sets; given a compact set C⊂RN let Cr be its r-fatten...
Assuming that Siegel zeros exist, we prove a hybrid version of the Chowla and Hardy-Littlewood prime...
In ECC, scalar multiplication is the dominant operation, namely computing nP from a point P on an el...
In this thesis, we find the E-polynomials of a family of parabolic symplectic character varieties o...
For a positive integer d which is not a square, we show that there is at most one value of the posit...
This is a review paper on recent results for different types of generalized ordinary differential eq...
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