A construction of unramified Abelian l-extensions of regular Kummer extensions
A constructive approach to Kronecker approximations and its application to the Mertens conjecture.
A constructive approach to p-adic deformations of arithmetic homology
A constructive proof of the Density of Algebraic Pfaff Equations without Algebraic Solutions
We present a constructive proof of the fact that the set of algebraic Pfaff equations without algebraic solutions over the complex projective plane is dense in the set of all algebraic Pfaff equations of a given degree.
A continued fraction expansion for a -tangent function.
A continued fraction expansion for a -tangent function: an elementary proof.
A continued fraction of order twelve
In this paper, we establish several explicit evaluations, reciprocity theorems and integral representations for a continued fraction of order twelve which are analogues to Rogers-Ramanujan’s continued fraction and Ramanujan’s cubic continued fraction.
A continued fraction proof of Ford's theorem on complex rational approximations.
A continuous, constructive solution to Hilbert's 17th problem.
A continuous family of automata : the Ising automata
A contribution to infinite disjoint covering systems
Let the collection of arithmetic sequences be a disjoint covering system of the integers. We prove that if for some primes and integers , then there is a such that . We conjecture that the divisibility result holds for all moduli.A disjoint covering system is called saturated if the sum of the reciprocals of the moduli is equal to . The above conjecture holds for saturated systems with such that the product of its prime factors is at most .
A contribution to the linear homogeneous Diophantine approximations
A converse theorem for second-order modular forms of level N
A convolution theorem with applications to some divisor functions.
A corollary to a theorem of Laurent-Mignotte-Nesterenko
A corpimality problem for two polynomiallike multiplicative functions.
A correction to the paper "Upper bounds for class numbers of real quadratic fields" (Acta Arith. 68 (1994), 141-144)
A correspondence for the generalized Hecke algebra of the metaplectic cover , -adic.
A counterexample in the theory of local zeta functions.
A counterexample to a conjecture of Erdős, Graham and Spencer.