5 citations · 10 across the 22 of their papers we have counts for
8 papers · 1 filter
On The Index of Polynomial Compositions over Valued Fields
Anuj Jakhar, Ravi Kalwaniya, Shanta Laishram +1
Determining whether an algebraic number field admits a power integral basis is a classical problem, but it can be difficult for fields defined by polynomial compositions and dynami…
A Deterministic Cryptographic Prime Generation Chain over Monogenic Cubic Number Fields and their Generalizations
Anuj Jakhar, Ravi Kalwaniya
Generating primes is a fundamental problem in modern cryptography. Deterministic primality tests work well for special integers such as Mersenne or Proth primes, but these forms ar…
Monogenic Fields from Polynomial Compositions with Applications
Anuj Jakhar, Ravi Kalwaniya, Prabhakar Yadav
A number field is called \emph{monogenic} if its ring of integers can be expressed as a simple ring extension for some . A mon…
A primality test for numbers
Anuj Jakhar, Mahesh Kumar Ram
We develop an algebraic framework over arbitrary quadratic fields to generalize the Miller-Rabin primality test. Consequently, we present a deterministic…
On the distribution of shapes of totally real multiquadratic number fields
Anuj Jakhar, Anwesh Ray
The shape of a number field of degree is defined as the equivalence class of the lattice of integers under linear operations generated by rotations, reflections, and positi…
Arithmetic Aspects of Number Fields Generated by Polynomial Families
Rupam Barman, Anuj Jakhar, Ravi Kalwaniya +1
Let be an irreducible polynomial over , where with , and let , where is a ro…
On the distribution of shapes of octic Kummer extensions
Anuj Jakhar, Anwesh Ray
The shape of a number field of degree is defined as the equivalence class of the lattice of integers under linear operations generated by rotations, reflections, and positi…
On the distribution of shapes of sextic pure number fields
Anuj Jakhar, Ravi Kalwaniya, Anwesh Ray +1
The shape of a number field of degree is defined as the equivalence class of the lattice of integers with respect to linear operations that are composites of rotations, ref…