10 citations · 23 across the 17 of their papers we have counts for
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math.NT2016
Minkowski's theorem on independent conjugate units
Shabnam Akhtari, Jeffrey D. Vaaler
We call a unit in a Galois extension a Minkowski unit if the subgroup generated by and its conjugates over has maximum rank in the unit group of…
math.NT2016★ 10 cited
A positive proportion of Thue equations fail the integral Hasse principle
Shabnam Akhtari, Manjul Bhargava
For any nonzero , we prove that a positive proportion of integral binary cubic forms do locally everywhere represent but do not globally represent ; that…
math.NT2016
Thue's inequalities and the hypergeometric method
Shabnam Akhtari, N. Saradha, Divyum Sharma
Following a method originally due to Siegel, we establish upper bounds for the number of primitive integer solutions to inequalities of the shape , where $F(x ,…