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## On the sup-norm of Maass cusp forms of large level

- Nicolas Templier
- Mathematics
- 22 July 2010

We establish upper bounds for the sup-norm of Hecke-Maass eigenforms on arithmetic surfaces. In a first part, the case of open modular surfaces is studied. Let $${f}$$ be an Hecke–Maass cuspidal… Expand

## Sato–Tate theorem for families and low-lying zeros of automorphic $$L$$L-functions

- S. Shin, Nicolas Templier
- Mathematics
- 9 August 2012

We consider certain families of automorphic representations over number fields arising from the principle of functoriality of Langlands. Let $$G$$G be a reductive group over a number field $$F$$F… Expand

## On the sup-norm of Maass cusp forms of large level. III

- G. Harcos, Nicolas Templier
- Mathematics
- 21 October 2011

Let $$f$$ be a Hecke–Maass cuspidal newform of square-free level $$N$$ and Laplacian eigenvalue $$\lambda $$. It is shown that $$\left||f \right||_\infty \ll _{\lambda ,\epsilon }… Expand

## On the Voronoĭ formula for GL(n)

- Atsushi Ichino, Nicolas Templier
- Mathematics
- 1 February 2013

We prove a general Vorono\u{\i} formula for cuspidal automorphic representations of ${\rm GL}(n)$ over number fields. This generalizes recent work by Miller-Schmid and Goldfeld-Li on Maass forms. Our… Expand

## Large values of modular forms

- Nicolas Templier
- Mathematics
- 25 July 2012

We show that there are primitive holomorphic modular forms f of weight two and arbitrary large level N such that $|f(z)| \gg N^{1/4}$ for some point z. Thereby we disprove a folklore conjecture that… Expand

## On the sup-norm of Maass cusp forms of large level. III

- G. Harcos, Nicolas Templier
- Materials ScienceMathematische Annalen
- 21 October 2011

Let \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek}… Expand

## Hybrid sup-norm bounds for Hecke–Maass cusp forms

- Nicolas Templier
- Mathematics
- 15 July 2015

. Let f be a Hecke–Maass cusp form of eigenvalue λ and square-free level N . Normalize the hyperbolic measure so that vol (Y 0 (N)) = 1 and the form f such that (cid:107) f (cid:107) 2 = 1. It is… Expand

## Non-split sums of coefficients of GL(2)-automorphic forms

- Nicolas Templier, Jacob Tsimerman
- Mathematics
- 6 June 2011

Given a cuspidal automorphic form π on GL2, we study smoothed sums of the form $$\sum\nolimits_n {{a_\pi }({n^2} + d)V({n \over x})} $$. The error term we get is sharp in that it is uniform in both d… Expand

## Families of L -Functions and Their Symmetry

- P. Sarnak, S. Shin, Nicolas Templier
- Mathematics
- 21 January 2014

A few years ago the first-named author proposed a working definition of a family of automorphic L-functions. Then the work by the second and third-named authors on the Sato–Tate equidistribution for… Expand

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