Summation operators and

Joyner, David

Displaying similar documents to “Summation operators and 'explicit formulas'”

Low lying zeros of families of $ℒ -$ -functions

H. Luo Iwaniec, P. Sarnak (2000)

Publications Mathématiques de l'IHÉS

Similarity:

On sums of Hecke series in short intervals

Aleksandar Ivić (2001)

Journal de théorie des nombres de Bordeaux

Similarity:

We have $\sum_{K - G \leq k_{j} \leq K + G} α_{j} H_{j}^{3} (\frac{1}{2}) ≪_{ϵ} G K^{1 + ϵ}$ for $K^{ϵ} \leq G \leq K, where α_{j} = {|ρ_{j} (1)|}^{2} {(cosh π k_{j})}^{- 1}, and ρ_{j} (1)$ is the first Fourier coefficient of the Maass wave form corresponding to the eigenvalue $λ_{j} = k_{j}^{2} + \frac{1}{4}$ to which the Hecke series $H_{j} (s)$ is attached. This result yields the new bound $H_{j} (\frac{1}{2} ≪_{ϵ} k_{j}^{\frac{1}{3} + ϵ} .$

Sums of coefficients of Hecke series

Aleksandar Ivić, Tom Meurman (1994)

Acta Arithmetica

Similarity:

Information matrices for some elliptically symmetric distributions.

Saralees Nadarajah, Samuel Kotz (2005)

SORT

Similarity:

The Fisher information matrices are derived for three of the most popular elliptically symmetric distributions: the Pearson type II, Pearson type VII and the Kotz type distributions. We hope the results could be important to the many researchers working in this area.