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Special values of twisted symmetric square $L$ -functions and the trace formula

Jeffrey Stopple (1996)

Compositio Mathematica

Sur les séries $L$ associées aux formes modulaires

Ha Huy Khoai (1992)

Bulletin de la Société Mathématique de France

The binary Goldbach conjecture with primes in arithmetic progressions with large modulus

Claus Bauer, Yonghui Wang (2013)

Acta Arithmetica

It is proved that for almost all prime numbers $k \leq N^{1 / 4 - ϵ}$ , any fixed integer b₂, (b₂,k) = 1, and almost all integers b₁, 1 ≤ b₁ ≤ k, (b₁,k) = 1, almost all integers n satisfying n ≡ b₁ + b₂ (mod k) can be written as the sum of two primes p₁ and p₂ satisfying $p_{i} \equiv b_{i} (m o d k)$ , i = 1,2. For the proof of this result, new estimates for exponential sums over primes in arithmetic progressions are derived.

The distribution of the eigenvalues of Hecke operators

J. B. Conrey, W. Duke, D. W. Farmer (1997)

Acta Arithmetica

The first negative Hecke eigenvalue of a Siegel cusp form of genus two

Winfried Kohnen, Jyoti Sengupta (2007)

Acta Arithmetica

The Trace of Hecke Operators.

F.I. Mautner (1968)

Monatshefte für Mathematik

Trace formulae and applications to class numbers

Nicole Raulf (2014)

Open Mathematics

In this paper we compute the trace formula for Hecke operators acting on automorphic forms on the hyperbolic 3-space for the group PSL2( $𝒪_{K}$ ) with $𝒪_{K}$ being the ring of integers of an imaginary quadratic number field K of class number H K > 1. Furthermore, as a corollary we obtain an asymptotic result for class numbers of binary quadratic forms.

Über die Bestimmung Dirichletscher Reihen durch ihre Funktionalgleichung

E. Hecke (1936)

Mathematische Annalen

Über eine Spurbildung bei automorphen Formen.

Hans Petersson (1967)

Mathematische Zeitschrift

Weight reduction for cohomological mod $p$ modular forms over imaginary quadratic fields

Adam Mohamed (2014)

Publications mathématiques de Besançon

Let $F$ be an imaginary quadratic field and $𝒪$ its ring of integers. Let $𝔫 \subset 𝒪$ be a non-zero ideal and let $p > 5$ be a rational inert prime in $F$ and coprime with $𝔫$ . Let $V$ be an irreducible finite dimensional representation of ${\bar{𝔽}}_{p} [{GL}_{2} (𝔽_{p^{2}})]$ . We establish that a system of Hecke eigenvalues appearing in the cohomology with coefficients in $V$ already lives in the cohomology with coefficients in ${\bar{𝔽}}_{p} \otimes d e t^{e}$ for some $e \geq 0$ ; except possibly in some few cases.

Об одном совете Ю.В. Линника, операторах Гекке и тета-функциях

А.Н. Андрианов (1996)

Zapiski naucnych seminarov POMI

Displaying 41 – 51 of 51

Currently displaying 41 – 51 of 51