Classical and overconvergent modular forms
Classical and overconvergent modular forms of higher level
We define the notion overconvergent modular forms on where is a prime, and are positive integers and is prime to . We show that an overconvergent eigenform on of weight whose -eigenvalue has valuation strictly less than is classical.
Classical computing, quantum computing, and Shor's factoring algorithm
Classical projective geometry and arithmetic groups.
Classification des formes quadratiques réelles: un contre-exemple à la finitude
1. Introduction. On doit à G. Voronoï [Vo] un algorithme de classification complète des formes quadratiques parfaites. Il est dès lors possible, en principe, de déterminer en un temps fini la constante d'Hermite γₙ, qui décrit dans ℝⁿ la densité maximale des empilements de sphères en réseau. L'énorme complexité de l'algorithme lui donne une limite naturelle: il semble actuellement impensable de dépasser la dimension 8, où les explorations ont déjà fourni des milliers de formes...
Classification en sous familles fermées de n-uples de nombres algébriques
Classification of hermitian forms and semisimple gorups over fields of virtual cohomological dimension one.
Classification of irreducible factorable polynomials over a finite field
Classification of p-adic 6-dimensional filiform Leibniz algebras by solutions of x q = a
We study the p-adic equation x q = a over the field of p-adic numbers. We construct an algorithm which gives a solvability criteria in the case of q = p m and present a computer program to compute the criteria for any fixed value of m ≤ p − 1. Moreover, using this solvability criteria for q = 2; 3; 4; 5; 6, we classify p-adic 6-dimensional filiform Leibniz algebras.
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...