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The MacWilliams Identity for the Skew Rank Metric (2023)
Journal Article
Friedlander, I., Bouganis, A., & Gadouleau, M. (2023). The MacWilliams Identity for the Skew Rank Metric. Advances in Mathematics of Communications, https://doi.org/10.3934/amc.2023045

The weight distribution of an error correcting code is a crucial statistic in determining its performance. One key tool for relating the weight of a code to that of it's dual is the MacWilliams Identity, first developed for the Hamming metric. This i... Read More about The MacWilliams Identity for the Skew Rank Metric.

Algebraicity of L-values attached to Quaternionic Modular Forms (2023)
Journal Article
Bouganis, A., & Jin, Y. (2023). Algebraicity of L-values attached to Quaternionic Modular Forms. Canadian Journal of Mathematics, https://doi.org/10.4153/s0008414x23000184

In this paper we prove the algebraicity of some L-values attached to quaternionic modular forms. We follow the rather well established path of the doubling method. Our main contribution is that we include the case where the corresponding symmetric sp... Read More about Algebraicity of L-values attached to Quaternionic Modular Forms.