45 citations · 246 across the 34 of their papers we have counts for
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math.NT2016★ 44 cited
Squarefree values of polynomial discriminants I
Manjul Bhargava, Arul Shankar, Xiaoheng Wang
We determine the density of monic integer polynomials of given degree that have squarefree discriminant; in particular, we prove for the first time that the lower density of…
math.NT2016★ 21 cited
Odd degree number fields with odd class number
Wei Ho, Arul Shankar, Ila Varma
For every odd integer , we prove that there exist infinitely many number fields of degree and associated Galois group whose class number is odd. To do so, we st…