4 citations · 5 across the 3 of their papers we have counts for
5 papers
A new characterization for the Lucas-Carmichael Integers and sums of base- digits
Sridhar Tamilvanan, Subramani Muthukrishnan
In this paper, we prove a necessary and sufficient condition for the Lucas-Carmichael integers in terms of the sum of base- digits. We also study some interesting properties of…
On the simultaneous -divisibility of class numbers of triples of imaginary quadratic fields
Jaitra Chattopadhyay, Subramani Muthukrishnan
Let be a cube-free integer with and . In this paper, we prove the existence of infinitely many triples of imaginary quadrat…
Biquadratic fields having a non-principal euclidean ideal class
Jaitra Chattopadhyay, Subramani Muthukrishnan
H. W. Lenstra \cite{lenstra} introduced the notion of an Euclidean ideal class, which is a generalization of norm-Euclidean ideals in number fields. Later, families of number field…
A note on Euclidean cyclic cubic fields
Srinivas Kotyada, Subramani Muthukrishnan
Let be a cyclic cubic field and be its ring of integers. In this note we prove that all cyclic cubic number fields with conductors in the interval $ [73, 11971]…
Non-Wieferich primes in number fields and ABC conjecture
Srinivas Kotyada, Subramani Muthukrishnan
Let be an algebraic number field of class number one and be its ring of integers. We show that there are infinitely many non-Wieferich primes with re…