Characterizing the sum of two cubes.
Charakerisierung der lokalbeschränkten Ringtopologien auf globalen Körpern.
Charakterisierung der additiven, fast-geraden Funktionen.
Charakterisierung des Cotangens mit Replikativität.
Charakterisierung von Drehungen und Bewegungen des Rn durch lineare Invarianten.
Charles Hermite’s stroll through the Galois fields
Although everything seems to oppose the two mathematicians, Charles Hermite’s role was crucial in the study and diffusion of Évariste Galois’s results in France during the second half of the nineteenth century. The present article examines that part of Hermite’s work explicitly linked to Galois, the reduction of modular equations in particular. It shows how Hermite’s mathematical convictions—concerning effectiveness or the unity of algebra, analysis and arithmetic—shaped his interpretation of Galois...
Chebotarev formations and quantitative aspects of non-unique factorizations
Chebotarev sets
We consider the problem of determining whether a set of primes, or, more generally, prime ideals in a number field, can be realized as a finite union of residue classes, or of Frobenius conjugacy classes. We give necessary conditions for a set to be realized in this manner, and show that the subset of primes consisting of every other prime cannot be expressed in this way, even if we allow a finite number of exceptions.
Chebyshev bounds for Beurling numbers
The first author conjectured that Chebyshev-type prime bounds hold for Beurling generalized numbers provided that the counting function N(x) of the generalized integers satisfies the L¹ condition for some positive constant A. This conjecture was shown false by an example of Kahane. Here we establish the Chebyshev bounds using the L¹ hypothesis and a second integral condition.
Chebyshev polynomials and Pell equations over finite fields
We shall describe how to construct a fundamental solution for the Pell equation over finite fields of characteristic . Especially, a complete description of the structure of these fundamental solutions will be given using Chebyshev polynomials. Furthermore, we shall describe the structure of the solutions of the general Pell equation .
Chebyshev polynomials and the modulary group of level p
Chebyshev polynomials in several variables.
Chebyshev type estimates in prime number theory.
Chebyshev's bias.
Chebyshev's method for number fields
We give an elementary proof of an explicit estimate for the number of primes splitting completely in an extension of the rationals. The proof uses binomial coefficents and extends Chebyshev's classical approach.
Chen's double sieve, Goldbach's conjecture and the twin prime problem, 2
Chen's double sieve, Goldbach's conjecture and the twin prime problem
Chen's theorem in short intervals
Chen's theorem in totally real algebraic number fields
Chern classes, adeles and L-functions.