Catalan's equation has no new solution with either exponent less than 10651.
Catalan's identity and Chebyshev polynomials of the second kind.
Catalan-Zahlen und Wege in einem ganzzahligen Gitter.
Categories of Semigroups with Divisor Theory
Cauchy, Ferrers-Jackson and Chebyshev polynomials and identities for the powers of elements of some conjugate recurrence sequences
In this paper some decompositions of Cauchy polynomials, Ferrers-Jackson polynomials and polynomials of the form x 2n + y 2n , n ∈ ℕ, are studied. These decompositions are used to generate the identities for powers of Fibonacci and Lucas numbers as well as for powers of the so called conjugate recurrence sequences. Also, some new identities for Chebyshev polynomials of the first kind are presented here.
Cauchy multiplication and periodic functions (mod r).
We analise periodic functions (mod r), keeping Cauchy multiplication as the basic tool, and pay particular attention to even functions (mod r) having the property f(n) = f((n,r)) for all n. We provide some new aspects into the Hilbert space structure of even functions (mod r) and make use of linera transformations to interpret the known number-theoretic formulae involving solutions of congruences.
Cayley orders
Cell decomposition for two dimensional local fields
Census algorithms for chinese remainder pseudorank
We investigate the density and distribution behaviors of the chinese remainder representation pseudorank. We give a very strong approximation to density, and derive two efficient algorithms to carry out an exact count (census) of the bad pseudorank integers. One of these algorithms has been implemented, giving results in excellent agreement with our density analysis out to -bit integers.
Census algorithms for chinese remainder pseudorank
We investigate the density and distribution behaviors of the chinese remainder representation pseudorank. We give a very strong approximation to density, and derive two efficient algorithms to carry out an exact count (census) of the bad pseudorank integers. One of these algorithms has been implemented, giving results in excellent agreement with our density analysis out to 5189-bit integers.
Central and genus class fields and the Hasse norm theorem
Central binomial sums, multiple Clausen values, and zeta values.
Central Characters for Smooth Irreducible Modular Representations of
Central extensions and reciprocity laws
Certain classes of arithmetic functions and the operation of additive convolution.
Certain classes of rapidly convergent series representations for L(2n,χ) and L(2n+1,χ)
Certain L-functions at s = 1/2
Introduction. The vanishing orders of L-functions at the centers of their functional equations are interesting objects to study as one sees, for example, from the Birch-Swinnerton-Dyer conjecture on the Hasse-Weil L-functions associated with elliptic curves over number fields. In this paper we study the central zeros of the following types of L-functions: (i) the derivatives of the Mellin transforms of Hecke eigenforms for SL₂(ℤ), (ii) the Rankin-Selberg...
Certain linear combinations of two Pfister forms and the isotropy problem. (Certaines combinaisons linéaires de deux formes de Pfister et le problème d'isotropie.)
Certain L-series of Ranking-Selberg type associated to Siegel modular forms of degree g.
Certain matrices related to Fibonacci sequence having recursive entries.