Jeanine Van Order

activity

20112019

most citedRankin-Selberg L-functions in cyclotomic towers, III

4 citations · 4 across the 5 of their papers we have counts for

collaborators

11 papers

math.NT2019

Integral presentations of the shifted convolution problem and subconvexity estimates for $GL_{n}$ -automorphic $L$ -functions

Jeanine Van Order

Fix $n \geq 2$ an integer, and $F$ be a totally real number field. We reduce the shifted convolution problem for $L$ -function coefficients of $GL_{n} (A_{F})$ -auto…

math.NT2019

Class group twists and Galois averages of $GL_{n}$ -automorphic $L$ -functions

Jeanine Van Order

Fix $n \geq 2$ an integer, and let $F$ be a totally real number field. We derive estimates for the finite parts of the $L$ -functions of irreducible cuspidal $\operatorname{GL}_n({\…

math.NT2019

Dirichlet twists of $GL_{n}$ -automorphic $L$ -functions and hyper-Kloosterman Dirichlet series

Jeanine Van Order

We calculate mean values of $GL_{n}$ -automorphic $L$ -functions twisted by primitive even Dirichlet characters of prime-power conductor, at arbitrary points within the…

math.NT2019

Nonvanishing of self-dual $L$ -values via spectral decomposition of shifted convolution sums

Jeanine Van Order

We obtain nonvanishing estimates for central values of certain self-dual Rankin-Selberg $L$ -functions on $GL_{2} (A_{F}) \times GL_{2} (A_{F})$ , a…

math.NT2014★ 4 cited

Rankin-Selberg L-functions in cyclotomic towers, III

Jeanine Van Order

Let $π$ be a cuspidal automorphic representation of $GL_{2}$ over a totally real number field $F$ . Let $K$ be a totally imaginary quadratic extension of $F$ . We estima…

math.NT2012

Rankin-Selberg L-functions in cyclotomic towers, II

Jeanine Van Order

Following the prequel work \cite{VO3}, we prove a generalization of "Mazur's conjecture" for $L$ -functions of elliptic curves in abelian extensions of imaginary quadratic fields, i…

Integral presentations of the shifted convolution problem and subconvexity estimates for GLn​-automorphic L-functions

Class group twists and Galois averages of GLn​-automorphic L-functions

Dirichlet twists of GLn​-automorphic L-functions and hyper-Kloosterman Dirichlet series

Nonvanishing of self-dual L-values via spectral decomposition of shifted convolution sums

Rankin-Selberg L-functions in cyclotomic towers, III

Rankin-Selberg L-functions in cyclotomic towers, II

Integral presentations of the shifted convolution problem and subconvexity estimates for $GL_{n}$ -automorphic $L$ -functions

Class group twists and Galois averages of $GL_{n}$ -automorphic $L$ -functions

Dirichlet twists of $GL_{n}$ -automorphic $L$ -functions and hyper-Kloosterman Dirichlet series

Nonvanishing of self-dual $L$ -values via spectral decomposition of shifted convolution sums