Related papers: A simple twisted relative trace formula

In this paper, we prove a general simple relative trace formula. As an application, we prove a relative analogue of the Weyl law.

We obtain a new simple formula for the regularized traces of singular ordinary differential operators.

In this note, we derive explicitly the local relative trace formula for the symmetric space F*\SL(2,F) at the level of Lie algebras, where F is a p-adic field of residue characteristic greater than two and F* is the set of invertible…

We observe that the twisted Morrey-Kohn-H\"ormander formula can be deduced directly from the Morrey-Kohn-H\"ormander formula.

Derived here is a single regression coefficient equivalent to Pillai's trace statistic in multivariate analysis of variance.

A "simple trace formula" is used to derive an asymptotic result for class numbers of complex cubic orders.

A new approach to the Selberg trace formula, and more precisely to its spectral side, is developed. The approach relies on a notion of "Plancherel decomposition" of "asymptotically finite functions", and may generalize to obtain a general…

We provide a short proof of the 1-dimensional flat chain conjecture.

Relative trace formulas play a central role in studying automorphic forms. In this paper, we use a relative trace formula approach to derive a Kuznetsov type formula for the group $GSp_4$. We focus on giving a final formula that is as…

We present a relative form of the Toponogov comparison theorem.

We present a simple inductive proof of the Lagrange Inversion Formula.

This article present a new, direct and simple formula for constructing Mignotte sequences.

We begin the proof of the stabilization of the twisted trace formula. Here we prove that almost all "coefficients" appearing in this formula are equal to their endoscopic counterpart. It is the generalization to the twisted case of the…

The author derives an expression for one side of the local relative trace formula, at the level of Lie algebras, by combining methods of Arthur and Harish-Chandra with the structure theory for reductive symmetric spaces.

It is the last paper of a long series. We present the spectral side of the twisted trace formula and its stable version. Using the method of Arthur, we finish the proof of the stabilization of the two sides of this twisted trace formula.

Gives an elementary exposition of the twisted group algebra rep- resentation of simple Clifford algebras

We obtain a simple formula for the first-order trace of a regular differential operator on a segment perturbated by a multiplication operator. The main analytic ingredient of the proof is an improvement of the Tamarkin equiconvergence…

This paper is one of a series whose goal is to stabilize the twisted Arthur-Selberg's trace formula. Here we define the objects appearing in the geometric side of the twisted trace formula. We define also the similar stable and endoscopic…

I present a simple derivation of the de Gennes narrowing phenomenon.

The aim of this article is twofold: give a short proof of the existence of real spectral shift function and the associated trace formula for a pair of contractions, the difference of which is trace-class and one of the two a strict…