2 papers
math.NT2025
Matrices over maximal orders in cyclic division algebras over Q as sums of squares and cubes
S. A Katre, Deepa Krishnamurthi
It is known that every matrix of order n over the maximal order in an algebraic number eld is a sum of k-th powers in various cases if a discriminant condition is satis ed. It has…
math.NT2025
Gauss-Dickson Codes
Shashikant. A. Katre, Vikas S. Jadhav
Let l be an odd prime. For primes, p \equiv 1 (mod l), Gauss (l = 3) and Dickson (l = 5) considered the Diophantine systems in terms of which cyclotomic numbers of order 3 and 5 we…