Splitting fields and group characters.
Splitting of Hermitian Forms over Group Rings.
Splitting patterns of excellent quadratic forms.
Splittings of Abelian groups by integers.
Splittings of Abelian groups by integers. (Short Communication).
Square classes of Fibonacci and Lucas numbers
Square classes of Lucas sequences
Square free values of the order function.
Square Integrable Automorphic Forms and Cohomology of Arithmetic Quotients of SU (p,q).
Square Lehmer numbers
Square roots with many good approximants.
Square-classes in Lehmer sequences having odd parameters and their applications
Square-free Lucas -pseudoprimes and Carmichael-Lucas numbers
Let be a fixed positive integer. A Lucas -pseudoprime is a Lucas pseudoprime for which there exists a Lucas sequence such that the rank of in is exactly , where is the signature of . We prove here that all but a finite number of Lucas -pseudoprimes are square free. We also prove that all but a finite number of Lucas -pseudoprimes are Carmichael-Lucas numbers.
Square-free points on ellipsoids
Square-free values of n² + 1
Squarefree values of polynomials
Squarefree values of polynomials all of whose coefficients are 0 and 1
Square-free values of the Carmichael function.
Square-full divisors of square-full integers.
Squares and cubes in Sturmian sequences
We prove that every Sturmian word ω has infinitely many prefixes of the form UnVn3, where |Un| < 2.855|Vn| and limn→∞|Vn| = ∞. In passing, we give a very simple proof of the known fact that every Sturmian word begins in arbitrarily long squares.