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math.NT2019★ 3 cited
-adic Asai -functions attached to Bianchi cusp forms
Baskar Balasubramanyam, Eknath Ghate, Ravitheja Vangala
We establish a rationality result for the twisted Asai L-values attached to a Bianchi cusp form and construct distributions interpolating these L-values. Using the method of abstra…
math.RT2019
The Monomial Lattice in Modular Symmetric Power Representations
Eknath Ghate, Ravitheja Vangala
Let be a prime. We study the structure of and the inclusion relations among the terms in the monomial lattice in the modular symmetric power representations of $\mathrm{GL}_2(\…
math.NT2019
-adic Rankin product -functions
Eknath Ghate, Ravitheja Vangala
We describe Panchishkin's construction of the -adic Rankin product -function.