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The asymptotic distribution of Andrews’ smallest parts function 

Banks, Josiah; Barquero Sánchez, Adrián Alberto; Masri, Riad; Sheng, Yan (2015-12)
In this paper, we use methods from the spectral theory of automorphic forms to give an asymptotic formula with a power saving error term for Andrews’ smallest parts function spt(n). We use this formula to deduce an asymptotic ...

Faltings heights of CM elliptic curves and special Gamma values 

Barquero Sánchez, Adrián Alberto; Cadwallader, Lindsay; Cannon, Olivia; Genao, Tyler; Masri, Riad (2017-12)
In this paper, we evaluate the Faltings height of an elliptic curve with complex multiplication by an order in an imaginary quadratic field in terms of Euler’s Gamma function at rational arguments.

Stark units and special Gamma values 

Barquero Sánchez, Adrián Alberto; Masri, Riad; Tsai, Wei-Lun (2021)
In this paper we develop an effective procedure for expressing Stark units in real quadratic extensions of totally real fields as values of the Barnes multiple Gamma function at algebraic points. This procedure is used to ...
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The Chowla-Selberg formula for abelian CM fields and Faltings heights 

Barquero Sánchez, Adrián Alberto; Masri, Riad (2016-03)
In this paper we establish a Chowla-Selberg formula for abelian CM fields. This is an identity which relates values of a Hilbert modular function at CM points to values of Euler’s gamma function Γ and an analogous function ...
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On the Colmez conjecture for non-abelian CM fields 

Barquero Sánchez, Adrián Alberto; Masri, Riad (2018-02-08)
The Colmez conjecture relates the Faltings height of an abelian variety with complex multiplication by the ring of integers of a CM field E to logarithmic derivatives of Artin L-functions at s=0. In this paper, we prove ...
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Theta series and number fields: theorems and experiments 

Barquero Sánchez, Adrián Alberto; Mantilla Soler, Guillermo; Ryan, Nathan C. (2021-03-01)
Let d and n be positive integers and let K be a totally real number field of discriminant d and degree n. We construct a theta series $\theta_K \in \mathcal{M}_{d, n}$ where $\mathcal{M}_{d, n}$ is a space of modular forms ...

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Barquero Sánchez, Adrián Alberto (5)
Masri, Riad (4)Banks, Josiah (1)Barquero Sánchez, Adrián Alberto (1)Cadwallader, Lindsay (1)Cannon, Olivia (1)Genao, Tyler (1)Mantilla Soler, Guillermo (1)Masri, Riad (1)Ryan, Nathan C. (1)... View MoreTypeartículo científico (6)versión final del autor (2)ProcedenceVicerrectoría de Docencia (5)Vicerrectoría de Investigación (5)... View MoreHas File(s)Yes (6)

  • Repositorios universitarios

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  • Biblioteca Digital del CIICLA
  • Repositorio Documental Rafael Obregón Loría (CIHAC)
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  • Repositorio de Fotografías
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  • Buscador regional de LA Referencia
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  • Scientific Electronic Library Online (SciELO)
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Contact Us | Send Feedback
Repositorio Institucional de la Universidad de Costa Rica. Algunos derechos reservados. Este repositorio funciona con DSpace.