Evaluation of zeta function of the simplest cubic field at negative odd integers

Evaluation of zeta function of the simplest cubic field at negative odd integers

In this paper, we are interested in the evaluation of the zeta function of the simplest cubic field. We first introduce Siegel’s formula for values of the zeta function of a totally real number field at negative odd integers. Next, we will develop a method of computing the sum of a divisor function for ideals, and will give a full description for a Siegel lattice of the simplest cubic field. Us...

Errata to "Evaluation of zeta function of the simplest cubic field at negative odd integers"

Theorem 3.2 in the paper is incorrect since the left-hand side of equation (15) in [2] is multiplicative while the right-hand side is not. Therefore, Theorem 5.2 and Table 1, which use the result of Theorem 3.2, are wrong. However, the description of a Siegel lattice (Theorem 4.4) is correct. From the description of a Siegel lattice, using the methods in [1], we can compute the values of ζK(−1)...

examining the relationship between fear of negative evaluation and communication strategies by iranian efl learners

the purpose of the present study was to investigate the relationship between fear of negative evaluation (fne) and communication strategies (css) among iranian efl learners. it was aimed to examine the differences in the use of communication strategies between speakers with high or low degree of fear of negative evaluation. the current study was a case study consisting of 10 english learners at...

Values of the Riemann zeta function at integers

A symbolic approach to multiple zeta values at negative integers

Article history: Received 25 October 2015 Accepted 1 December 2016 Available online xxxx