7 papers
Twists of Albanese varieties over function fields with large ranks
Abolfazl Mohajer, Sajad Salami
In this paper we construct abelian varieties of large Mordell-Weil rank over function fields. We achieve this by using a generalization of the notion of Prym variety to higher dime…
The $\thera$-congruent numbers elliptic curves via a Fermat-type theorem
Sajad Salami, Arman Shamsi Zargar
A positive integer is called a -congruent number if there is a $\ta$-triangle with rational sides for which the angle between and is equal to and its a…
Rational -parallelogram envelopes via -congruent elliptic curves
Sajad Salami, Arman Shamsi Zargar
We introduce a new generalization of -congruent numbers by defining the notion of rational -parallelogram envelope for a positive integer , where is an angle…
On special matrices related to Cauchy and Toeplitz matrices
Sajad Salami
In this paper, we are going to calculate the determinant of a certain type of square matrices, which are related to the well-known Cauchy and Toeplitz matrices. Then, we will use t…
A correction to the paper "On Curves with Split Jacobian"
Sajad Salami
In [5], without giving a detailed proof, Yamauchi provided a formula to calculate the genus of a certain family of smooth complete intersection algebraic curves. That formula is us…
Twists of the Albanese varieties of cyclic multiple planes with large ranks over higher dimension function fields
Sajad Salami
In [17], we proved a structure theorem on the Mordell-Weil group of abelian varieties over function fields that arise as the twists of abelian varieties by the cyclic covers of pro…