Classification of the Primitive Representations of the Galois Group of Local Fields.
Classification of two genera of 32-dimensional lattices of rank 8 over the Hurwitz order.
Classification Theorems for Quadratic Forms over Fields
Classifying Lehmer triples
Clifford algebras, Möbius transformations, Vahlen matrices, and -loops
In this paper we show that well-known relationships connecting the Clifford algebra on negative euclidean space, Vahlen matrices, and Möbius transformations extend to connections with the Möbius loop or gyrogroup on the open unit ball in -dimensional euclidean space . One notable achievement is a compact, convenient formula for the Möbius loop operation , where the operations on the right are those arising from the Clifford algebra (a formula comparable to for the Möbius loop multiplication...
Clifford k-algebras and k*-groups.
Closed Curves and Geodesics with Two Self-Intersections on the Punctured Torus.
Closed form expressions for several Ramanujan sums
Closed geodesics, periods and arithmetic of modular forms.
Closed orbits of -extension of ergodic toral automorphisms.
Closed-form expression for Hankel determinants of the Narayana polynomials
We considered a Hankel transform evaluation of Narayana and shifted Narayana polynomials. Those polynomials arises from Narayana numbers and have many combinatorial properties. A mainly used tool for the evaluation is the method based on orthogonal polynomials. Furthermore, we provided a Hankel transform evaluation of the linear combination of two consecutive shifted Narayana polynomials, using the same method (based on orthogonal polynomials) and previously obtained moment representation of Narayana...
CM liftings of supersingular elliptic curves
Assuming GRH, we present an algorithm which inputs a prime and outputs the set of fundamental discriminants such that the reduction map modulo a prime above from elliptic curves with CM by to supersingular elliptic curves in characteristic is surjective. In the algorithm we first determine an explicit constant so that implies that the map is necessarily surjective and then we compute explicitly the cases .
CM points and quaternion algebras.
CM-fields and exponents of their ideal class groups
CM-fields with all roots of unity
Coates-Wiles Towers in Dimension Two.
Cobalancing numbers and cobalancers.
Cobham's theorem for substitutions
The seminal theorem of Cobham has given rise during the last 40 years to a lot of work about non-standard numeration systems and has been extended to many contexts. In this paper, as a result of fifteen years of improvements, we obtain a complete and general version for the so-called substitutive sequences. Let and be two multiplicatively independent Perron numbers. Then a sequence , where is a finite alphabet, is both -substitutive and -substitutive if and only if is ultimately periodic....
Cocycles d'Euler et de Maslov.
Coda to a theorem of Schur.