We review previous methods of computing the modular degree of an elliptic curve, and present a new method (conditional in some cases), which is based upon the computation of a special value of the symmetric square L-function of the elliptic curve. Our method is sufficiently fast to allow large-scale experiments to be done. The data thus obtained on the arithmetic character of the modular degree...

abounovas is of unique character who has  always stimulates old and new critics to battle against each other as far as each person makes a character for him based on their understanding and special orientation instead of discovering his true  character. to recognize his real character ,however, his biography must be reread and to have a correct and real conclusion we have to refer to  reliable ...

We study additive double character sums over two subsets of a finite field. show that if there is suitable rational self-map small degree set $D$, then this contains large subset $U$ for which the standard bound on absolute value

conclusions low onset age of smoking cigarettes, high novelty seeking and low cooperativeness in opiate dependents are among the important personality traits in future use of drugs that can predict the subsequent onset of using opiate drugs. results opiate addicts had higher scores in novelty seeking dimension and lower scores in cooperativeness compared to nicotine addicts. the onset age of sm...

abstract: the aim of the present research was to determine the role of temperament and character in prediction of symptoms obsessive disorder in adolescents. the research sample consisted of 60 who were selected from among students with symptoms of obsessive through the randomly sampled method in high schools of ardabil city. to collect the data, temperament and character inventory and obsessiv...

In this paper we describe how the degrees of the irreducible characters of the affine subgroups of the classical groups under consideration can be found inductively. In [4] Gow obtained certain character degrees for all of the affine subgroups of the classical groups. We apply the method of Fischer to the above groups and, in addition to the character degrees given in [4], we obtain some ne...

Symmetries are one of important aspects of soliton theory. When any integrable character hasn’t been found for a given equation, among the most efficient ways is to consider its symmetries. It is through symmetries that Russian scientists et al. classified many integrable equations including lattice equations [1] [2]. They gave some specific description for the integrability of nonlinear equati...

The famous Frobenius characteristic map is a bijection from the space of characters of a symmetric group S n to the space of homogeneous symmetric functions of degree n. In this note, we prove a formula for the inverse map. More precisely, we express the generating function for the values of an arbitrary virtual character of S n in terms of the symmetric function which is the Frobenius image of...