Eknath Ghate

activity

20112026

most citedReduction of Galois Representations of slope 1

21 citations · 61 across the 24 of their papers we have counts for

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Showing 2019Show all

6 papers · 1 filter

math.NT2019★ 3 cited

$p$ -adic Asai $L$ -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.NT2019

Reductions of Galois representations and the theta operator

Eknath Ghate, Arvind Kumar

Let $p \geq 5$ be a prime, and let $f$ be a cuspidal eigenform of weight at least $2$ and level coprime to $p$ of finite slope $α$ . Let $ρ ˉ_{f}$ denote the mod $p$ Galois representa…

math.RT2019

The Monomial Lattice in Modular Symmetric Power Representations

Eknath Ghate, Ravitheja Vangala

Let $p$ 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★ 7 cited

A zig-zag conjecture and local constancy for Galois representations

Eknath Ghate

We make a zig-zag conjecture describing the reductions of irreducible crystalline two-dimensional representations of $G_{Q_{p}}$ of half-integral slopes and exceptional weig…

math.NT2019

$p$ -adic Rankin product $L$ -functions

Eknath Ghate, Ravitheja Vangala

We describe Panchishkin's construction of the $p$ -adic Rankin product $L$ -function.

math.NT2019★ 3 cited

Reductions of Galois representations of Slope $\frac{3}{2}$

Eknath Ghate, Vivek Rai

We prove a zig-zag conjecture describing the reductions of irreducible crystalline two-dimensional representations of $G_{Q_{p}}$ of slope $\frac{3}{2}$ and exceptional weig…