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pro vyhledávání: '"Nicolás Sirolli"'
Autor:
Daniel Kohen, Nicolás Sirolli
Let p be a prime number and let E be rational an elliptic curve of conductor p 2 and odd analytic rank. We prove that the positions of its special points arising from non-split Cartan curves and imaginary quadratic fields where p is inert are encoded
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https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&origin=inward&scp=85075885784
https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&origin=inward&scp=85075885784
The values of the partition function, and more generally the Fourier coefficients of many modular forms, are known to satisfy certain congruences. Results given by Ahlgren and Ono for the partition function and by Treneer for more general Fourier coe
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http://arxiv.org/abs/1911.05799
http://arxiv.org/abs/1911.05799
Autor:
Nicolás Sirolli, Gonzalo Tornaría
Publikováno v:
Transactions of the American Mathematical Society. 370:6153-6168
We describe a construction of preimages for the Shimura map on Hilbert modular forms, and give an explicit Waldspurger type formula relating their Fourier coefficients to central values of twisted L-functions. Our construction is inspired by that of
Autor:
Gonzalo Tornaría, Nicolás Sirolli
We describe a construction of preimages for the Shimura map on Hilbert modular forms using generalized theta series, and give an explicit Waldspurger type formula relating their Fourier coefficients to central values of twisted $L$-functions. This fo
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http://arxiv.org/abs/1812.11635
http://arxiv.org/abs/1812.11635
Autor:
Nicolás Sirolli
Publikováno v:
Journal of Number Theory. 145:79-98
In this article we give a method to construct preimages for the Shimura correspondence on Hilbert modular forms of odd and square-free level. The method relies in the ideas presented for the rational case by Pacetti and Tornar\'ia, and is such that t
We describe an implementation for computing holomorphic and skew-holomorphic Jacobi forms of integral weight and scalar index on the full modular group. This implementation is based on formulas derived by one of the authors which express Jacobi forms
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Autor:
Ariel Pacetti, Nicolás Sirolli
Publikováno v:
CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
Let $K$ be a totally real number field and let $B$ be a totally definite quaternion algebra over $K$. In this article, given a set of representatives for ideal classes for a maximal order in $B$, we show how to construct in an efficient way a set of
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