A class of algebraic-exponential congruences modulo .
A class of conjectured series representations for .
A class of diophantine equations connected with certain elliptic curves over
A Class of Discrete Spectra of Non-Pisot Numbers
A class of finite -series - II
A class of finite -series. - III
A class of hypertranscendental functions.
A class of hypertranscendental functions. (Short Communication).
A class of irreducible polynomials
Let , where . We show that f(x) and f(x²) are irreducible over ℚ. Moreover, the upper bound of on the coefficients of f(x) is the best possible in this situation.
A Class of Periodic Jacobi-Perron Algorithms in Pure Algebraic Number Fields of Degree n...3.
A class of permutation trinomials over finite fields
Let q > 2 be a prime power and , where . We prove that f is a permutation polynomial of if and only if one of the following occurs: (i) q is even and ; (ii) q ≡ 1 (mod 8) and t² = -2.
A class of polynomials
A class of symmetric 2-bases.
A class of symmetric biadditive functionals.
A class of transcendental numbers having explicit g-adic and Jacobi-Perron expansions of arbitrary dimension
A class of transcendental numbers with explicit g-adic expansion and the Jacobi-Perron algorithm
In this paper, we give transcendental numbers φ and ψ such that (i) both φ and ψ have explicit g-adic expansions, and simultaneously, (ii) the vector has an explicit expression in the Jacobi-Perron algorithm (cf. Theorem 1). Our results can be regarded as a higher-dimensional version of some of the results in [1]-[5] (see also [6]-[8], [10], [11]). The numbers φ and ψ have some connection with algebraic numbers with minimal polynomials x³ - kx² - lx - 1 satisfying (1.1) k ≥ l ≥0, k + l ≥ 2 (k,l...
A class of weakly perfect graphs
A graph is called weakly perfect if its chromatic number equals its clique number. In this note a new class of weakly perfect graphs is presented and an explicit formula for the chromatic number of such graphs is given.
A class–field theoretical calculation
In this paper, we give the complete characterization of the –torsion subgroups of certain idèle–class groups associated to characteristic function fields. As an application, we answer a question which arose in the context of Tan’s approach [6] to an important particular case of a generalization of a conjecture of Gross [4] on special values of –functions.
A Classical Diophantine Problem and Modular Forms of Weight 3/2.
A classification of rank 6 quadratic spaces via pfaffians.