M. Harris

activity

20232025

most citedOn the generalized Ramanujan and Arthur conjectures over function fields

1 citations · 1 across the 6 of their papers we have counts for

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Showing 2025 · math.NTShow all

3 papers · 2 filters

math.NT2025

$p$ -adic $L$ -functions for $U (2, 1) \times U (1, 1)$

Michael Harris, Ming-Lun Hsieh, Shunsuke Yamana

We construct the five-variable $p$ -adic $L$ -function attached to Hida families on $U (2, 1) \times U (1, 1)$ , interpolating the square-root of Rankin-Selberg $L$ -values i…

math.NT2025

Factorization of periods, construction of automorphic motives and Deligne's conjecture over CM-fields

Harald Grobner, Michael Harris, Jie Lin

The present paper is devoted to the relations between Deligne's conjecture on critical values of motivic $L$ -functions and the multiplicative relations between periods of arithmeti…

math.NT2025

Inductive construction of supercuspidal $L$ -packets

Raphaël Beuzart-Plessis, Michael Harris, Jack Thorne

Genestier--Lafforgue and Fargues--Scholze have constructed a semisimple local Langlands paramterization for reductive groups over equicharacteristic local fields. Assuming a versio…

p-adic L-functions for U(2,1)×U(1,1)

Factorization of periods, construction of automorphic motives and Deligne's conjecture over CM-fields

Inductive construction of supercuspidal L-packets

$p$ -adic $L$ -functions for $U (2, 1) \times U (1, 1)$

Inductive construction of supercuspidal $L$ -packets