Test vectors for Rankin–Selberg L-functions
نویسندگان
چکیده
منابع مشابه
Determining Optimal Test Functions for Bounding the Average Rank in Families of L-Functions
Given an L-function, one of the most important questions concerns its vanishing at the central point; for example, the Birch and Swinnerton-Dyer conjecture states that the order of vanishing there of an elliptic curve L-function equals the rank of the Mordell-Weil group. The Katz and Sarnak Density Conjecture states that this and other behavior is well-modeled by random matrix ensembles. This c...
متن کاملCorrelation Analysis of Compacted Test Vectors and the Use of Correlated Vectors for Test Generation
In this paper we present novel correlation analyses methods to analyze the compacted test sets. In spatial correlation, we identified strong correlation chains, while in the temporal domain, correlating a segment of the test set with the entire sequence discovered periodicities in the compacted test set sequence. These suggest the potential of a new way for generating test sequences. We report ...
متن کاملTest Vectors Considered Harmful
The Test Vector Concept A test system based on vectors has several defining characteristics: • There is a “vector sequencer” that defines which “vector” will be obeyed next. • The vector sequencer broadcasts a small amount of information (such as vector address, period numbers and timeset numbers) to all of the pin channels. • The pin channels access a small pin command, usually of between 1 an...
متن کاملTest Vectors for the Stream Cipher RC4
This document contains test vectors for the stream cipher RC4.
متن کاملIndependence Test for High Dimensional Random Vectors
This paper proposes a new mutual independence test for a large number of high dimensional random vectors. The test statistic is based on the characteristic function of the empirical spectral distribution of the sample covariance matrix. The asymptotic distributions of the test statistic under the null and local alternative hypotheses are established as dimensionality and the sample size of the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2020
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2019.08.010