Cosmic rays are the primary source of the daily exposure of aircrew and passengers to ionising radiation. This study aims to estimate the effective doses of ionising radiation for aircraft crews in Bosnia and Herzegovina by taking into consideration factors such as flight duration and altitude, as well as the geographical position of airports. The CARI-7 algorithm and neural network method were used in the analysis of data obtained from the Sarajevo International Airport. The results show that the estimated annual effective doses in 2021 range from 0.06 to 10 mSv for flights to and from Belgrade and Dubai, respectively. Both linear regression and neural network models were developed to predict the effective dose based on flight duration, average altitude, latitude and maximum altitude. The findings reveal that flight duration is the most statistically significant factor, followed by average altitude, latitude and maximum altitude.

The structure of the extended Selberg class of degree one was completely revealed by Kaczorowski and Perelli. In this short paper, we give a new characterizationof the functions with periodic coefficients in that class by giving a simple relation that the coefficients have to satisfy.

Abstract. In this paper, we consider the asymptotic behaviour of τ -Li coefficients for the wide class of L-functions that contains the Selberg class, the class of all automorphic L-functions, the Rankin-Selberg L-functions, as well as products of suitable shifts of the mentioned functions. We consider both archimedean and non-archimedean contribution to the τ -Li coefficients, both separately, and their joint contribution to the coefficients. We also derive the behavior of the coefficients in the case the τ/2-Riemann hypothesis holds, which is the generalization of the Riemann hypothesis for the class under consideration. Finally, we conclude with some examples and numerics.

Let F be a number field of a finite degree and let L(s,π ×π′) be the Rankin–Selberg L-function associated to unitary cuspidal automorphic representations π and π′ of GLm(𝔸F) and GLm′(𝔸F), respectively. The main result of the paper is an asymptotic formula for evaluation of coefficients appearing in the Laurent (Taylor) series expansion of the logarithmic derivative of the function L(s,π ×π′) at s = 1. As a corollary, we derive orthogonality and weighted orthogonality relations.

Abstract

The Carlitz rank of a permutation polynomial f over a finite field Fq is a simple concept that was introduced in the last decade. Classifying permutations over Fq