43 citations · 108 across the 17 of their papers we have counts for
14 papers · 1 filter
Central values of zeta functions of non-Galois cubic fields
Arul Shankar, Anders Södergren, Nicolas Templier
The Dedekind zeta functions of infinitely many non-Galois cubic fields have negative central values.
Sato-Tate equidistribution of certain families of Artin L-functions
Arul Shankar, Anders Södergren, Nicolas Templier
We study various families of Artin -functions attached to geometric parametrizations of number fields. In each case we find the Sato-Tate measure of the family and determine the…
Sato-Tate equidistribution for families of Hecke-Maass forms on SL(n,R)/SO(n)
Jasmin Matz, Nicolas Templier
We establish the Sato-Tate equidistribution of Hecke eigenvalues on average for families of Hecke--Maass cusp forms on SL(n,R)/SO(n). For each of the principal, symmetric square an…
Large values of cusp forms on GL(n)
Farrell Brumley, Nicolas Templier
We establish the transition behavior of Jacquet-Whittaker functions on split semi-simple Lie groups. As a consequence, we show that for certain finite volume Riemannian manifolds,…
Families of L-functions and their Symmetry
Peter Sarnak, Sug-Woo Shin, Nicolas Templier
In [90] the first-named author gave a working definition of a family of automorphic L-functions. Since then there have been a number of works [33], [107], [67] [47], [66] and espec…
On Fields of rationality for automorphic representations
Sug Woo Shin, Nicolas Templier
This paper proves two results on the field of rationality $\Q(π)$ for an automorphic representation , which is the subfield of $\C$ fixed under the subgroup of $\Aut(\C)$ stabil…
Sato-Tate theorem for families and low-lying zeros of automorphic -functions
Sug Woo Shin, Nicolas Templier
We consider certain families of automorphic representations over number fields arising from the principle of functoriality of Langlands. Let be a reductive group over a number…
Large values of modular forms
Nicolas Templier
We show that there are primitive holomorphic modular forms f of weight two and arbitrary large level N such that for some point z. Thereby we disprove a folklo…
First moment of Rankin-Selberg central L-values and subconvexity in the level aspect
Roman Holowinsky, Nicolas Templier
Let with and coprime and square-free. Through classical analytic methods we estimate the first moment of central -values where $f\in S^*_…
On the sup-norm of Maass cusp forms of large level. III
Gergely Harcos, Nicolas Templier
Let be a Hecke--Maass cuspidal newform of square-free level and Laplacian eigenvalue . It is shown that $\pnorm{f}_\infty \ll_{λ,ε} N^{-1/6}+ε} \pnorm{f}_2$ for any $ε>0…
Non-split Sums of Coefficients of GL(2)-Automorphic Forms
Nicolas Templier, Jacob Tsimerman
Given a cuspidal automorphic form on $\GL_2$, we study smoothed sums of the form . The error term we get is sharp in that it is…
Remarks on a special value of the Selberg zeta function
Nicolas Templier
Let $\CmZ_{Y_0(N)}$ be the constant term of the logarithmic derivative at of the Selberg zeta function of the modular curve . Jorgenson and Kramer established the bou…
A non-split sum of coefficients of modular forms
Nicolas Templier
We shall introduce and study certain truncated sums of Hecke eigenvalues of -automorphic forms along quadratic polynomials. A power saving estimate is established and new app…
Heegner points and Eisenstein series
Nicolas Templier
We give an alternative computation of the twisted second moment of critival values of class group -functions attached to an imaginary quadratic field. The method avoids long cal…