Cyclic Boolean algebras and Galois fields
Cyclic coverings of an elliptic curve with two branch points and the gap sequences at the ramification points
Cyclic decomposition of polynomials
Cyclic group actions on odd-dimensional spheres.
Cyclic overlattices, I
Cyclic overlattices, II (Diophantine approximation and sums of roots of unity)
Cyclic polygons of integer points
Cyclic sum of multiple zeta values
Cyclicity and generation of points mod p on elliptic curves.
Cyclotomic equations and square properties in rings.
Cyclotomic fields with unique factorization.
Cyclotomic function fields, Hilbert class fields, and global function fields with many rational places
Cyclotomic matrices and a limit formula for hₚ¯
Cyclotomic modular lattices
Several interesting lattices can be realised as ideal lattices over cyclotomic fields : some of the root lattices, the Coxeter-Todd lattice, the Leech lattice, etc. Many of these are modular in the sense of Quebbemann. The aim of the present paper is to determine the cyclotomic fields over which there exists a modular ideal lattice. We then study an especially simple class of lattices, the ideal lattices of trace type. The paper gives a complete list of modular ideal lattices of trace type defined...
Cyclotomic numbers of order 2l, l an odd prime
Cyclotomic polynomials with large coefficients
Cyclotomic properties of the Rudin-Shapiro polynomials.
Cyclotomic quadratic forms
Voronoï ’s algorithm is a method for obtaining the complete list of perfect -dimensional quadratic forms. Its generalization to -forms has the advantage of running in a lower-dimensional space, and furnishes a finite, and complete, classification of -perfect forms ( is a finite subgroup of . We study the standard, -dimensional irreducible representation of the cyclic group of order , and give the, often new, densest -forms. Perfect cyclotomic forms are completely classified for and for...
Cyclotomic units and Hilbert's Satz 90
Cyclotomie et valeurs de la fonction