Search Results - "Pacetti, Ariel"

On the change of root numbers under twisting and applications by PACETTI, ARIEL

“…, where twisting, in general, is not enough.]]>…”
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A simplified proof of Serre’s conjecture by Dieulefait, Luis Victor, Pacetti, Ariel Martín

“…The purpose of the present article is to present a simplified proof of Serre’s modularity conjecture using the strong modularity lifting results currently…”
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On Heegner points for primes of additive reduction ramifying in the base field by KOHEN, DANIEL, PACETTI, ARIEL, MASDEU, MARC

“…Let E be a rational elliptic curve and let K be an imaginary quadratic field. In this article we give a method to construct Heegner points when E has a prime…”
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Hecke and Sturm bounds for Hilbert modular forms over real quadratic fields by GIL, JOSE IGNACIO BURGOS, PACETTI, ARIEL

“…Let K be a real quadratic field and \mathscr {O}_K its ring of integers. Let \Gamma be a congruence subgroup of \mathrm {SL}_2(\mathscr {O}_K) and…”
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Computing ideal classes representatives in quaternion algebras by PACETTI, ARIEL, SIROLLI, NICOLÁS

“…Let K be a totally real number field and let B be a totally definite quaternion algebra over K. Given a set of representatives for ideal classes for a maximal…”
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On the embedding problem for 2^+S_4 representations by Pacetti, Ariel

“…Let 2^+S_4 denote the double cover of S_4 corresponding to the element in \operatorname{H}^2(S_4,\mathbb Z/2\mathbb Z) where transpositions lift to elements of…”
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An exotic example of a tensor product of a CM elliptic curve and a weight 1 form by Pacetti, Ariel

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On elliptic curves of prime power conductor over imaginary quadratic fields with class number 1 by Cremona, John, Pacetti, Ariel

“…The main result of this paper is to extend from Q to each of the nine imaginary quadratic fields of class number 1 a result of [Serre, Duke Math. J. 54 (1987)…”
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Newton–Hensel Interpolation Lifting by Avendano, Martin, Krick, Teresa, Pacetti, Ariel

“…The main result of this paper is a new version of Newton-Hensel lifting that relates to interpolation questions. It allows one to lift polynomials in integer…”
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Computing weight 2 modular forms of level p^2 by Pacetti, Ariel, Villegas, Fernando Rodriguez

“…For a prime p we describe an algorithm for computing the Brandt matrices giving the action of the Hecke operators on the space V of modular forms of weight 2…”
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mathbb{Q}$-curves, Hecke characters and some Diophantine equations II by Pacetti, Ariel, Villagra Torcomian, Lucas

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Computing Weight 2 Modular Forms of Level p2 by PACETTI, Ariel, RODRIGUEZ VILLEGAS, Fernando, GROSS, B

“…For a prime p we describe an algorithm for computing the Brandt matrices giving the action of the Hecke operators on the space V of modular forms of weight 2…”
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On the number of Galois orbits of newforms by Dieulefait, Luis Victor, Pacetti, Ariel, Tsaknias, Panagiotis

“…Counting the number of Galois orbits of newforms in S_k(\Gamma_0(N)) and giving some arithmetic sense to this number is an interesting open problem. The case…”
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Non-paritious Hilbert modular forms by Dembélé, Lassina, Loeffler, David, Pacetti, Ariel

“…The arithmetic of Hilbert modular forms has been extensively studied under the assumption that the forms concerned are “paritious”—all the components of the…”
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PROVING MODULARITY FOR A GIVEN ELLIPTIC CURVE OVER AN IMAGINARY QUADRATIC FIELD by DIEULEFAIT, LUIS, GUERBEROFF, LUCIO, PACETTI, ARIEL

“…We present an algorithm to determine if the L-series associated to an automorphic representation and the one associated to an elliptic curve over an imaginary…”
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On the Embedding Problem for 2+S₄ Representations by Pacetti, Ariel

“…Let 2+S₄ denote the double cover of S₄ corresponding to the element in H² (S₄,Z/2Z) where transpositions lift to elements of order 2 and the product of two…”
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Theta lifts of Bianchi modular forms and applications to paramodularity by Berger, Tobias, Dembélé, Lassina, Pacetti, Ariel, Şengün, Mehmet Haluk

“…We explain how the work of Johnson‐Leung and Roberts on lifting Hilbert modular forms for real quadratic fields to Siegel modular forms can be adapted to…”
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On Galois representations of superelliptic curves by Pacetti, Ariel, Villanueva, Angel

“…A superelliptic curve over a DVR ${\mathcal O}$ of residual characteristic $p$ is a curve given by an equation $C:y^n=f(x)$. The purpose of the present article…”
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On the $2$-Selmer group of Jacobians of hyperelliptic curves by Salazar, Daniel Barrera, Pacetti, Ariel, Tornaría, Gonzalo

“…Let $\mathcal{C}$ be a hyperelliptic curve $y^2 = p(x)$ defined over a number field $K$ with $p(x)$ integral of odd degree. The purpose of the present article…”
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Shimura correspondence for level p 2 and the central values of L-series by Pacetti, Ariel, Tornaría, Gonzalo

“…Given a weight 2 and level p 2 modular form f, we construct two weight 3/2 modular forms (possibly zero) of level 4 p 2 and non-trivial character mapping to f…”
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