Generalization of a problem of Diophantus
Generalization of a result of Hoggatt and Bergum on Fibonacci numbers
Generalization of a result of Morgado
Generalization of a result of Shankar Sen: Integral representations associated with local field extensions
Generalization of a theorem of Gauss-Kuzmin.
Generalization of a Theorem of Kusmin.
Generalization of a theorem of Siegel
Generalization of a theorem of Steinhaus
We present a multidimensional version of the Three Gap Theorem of Steinhaus, proving that the number of the so-called primitive arcs is bounded in any dimension.
Generalization of an identity involving the generalized Fibonacci numbers and its applications.
Generalization of identities of Catalan and others
Generalization of Ramanujan's Congruences p(5m+4) ...O (mod 5) and p(7m+5) ...0 (mod 7).
Generalization of Some Results for Exactly Covering Systems
Generalization of some theorems on sets of multiples and primitive sequences
Generalization of the formula of Faa di Bruno for a composite function with a vector argument.
Generalization of the general Diophantine approximation theorem of Kronecker.
Generalization of the Moore exact sequence and the wild kernel for higher K-groups
Generalization of the symplectic modular group
Generalization of two identities in Ramanujan's lost notebook
Generalization of Vélu's formulae for isogenies between elliptic curves.
Given an elliptic curve E and a finite subgroup G, Vélu's formulae concern to a separable isogeny IG: E → E' with kernel G. In particular, for a point P ∈ E these formulae express the first elementary symmetric polynomial on the abscissas of the points in the set P+G as the difference between the abscissa of IG(P) and the first elementary symmetric polynomial on the abscissas of the nontrivial points of the kernel G. On the other hand, they express Weierstrass coefficients of E' as polynomials in...
Generalizations and refinements of a partition theorem of Göllnitz.