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Roberto Alvarenga
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Roberto Alvarenga
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  • Hall algebras and Hecke modifications of vector bundles, (j.w. L. Moço), 2025.

  • Diophantine equations over the generalized Fibonacci sequences: exploring sums of powers, (j.w. A. P. Chaves, M. Ramos, M. Silva and M. Sosa), 2025.

  • Fibonacci numbers as sums of consecutive terms in k-generalized Fibonacci sequence, (j.w. A. P. Chaves, M. Ramos, M. Silva and M. Sosa), 2025. 

  • Hecke modifications of vector bundles, Rend. Istit. Mat. Univ. Trieste Vol. 57, 2025. (j.w. I. Kaur and L. Moço)

  • On the number of elements with prescribed norm and trace, (j.w. H. Borges), 2023. 

  • Hecke eigenspaces for the projective line, Journal of Number Theory 264, 59-98, 2024.  (j.w. N. Bonnel).

  • On unramified automorphic forms over the projective line, (j.w. V. Pereira Junior) 2023. 

  • Automorphic forms for PGL_3 over elliptic function fields - Part 1: Graphs of Hecke operators, (j.w. O. Lorscheid and V. Pereira Junior) 2022.

  • p-adic Wan-Riemann Hypothesis for Z_p-towers of curves, Journal of Pure and Applied Algebra, 225(11):106743, 2021.

  • Hall algebras and graphs of Hecke operators for elliptic curves, Israel  J. Math. 239, 215–269, 2020.

  • On graphs of Hecke operators , Journal of Number Theory 199, 192-228, 2019.

  • Hecke operators and Hall algebras for global function fields (Ph.D thesis), IMPA, 2018.

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