36 citations · 68 across the 11 of their papers we have counts for
6 papers · 1 filter
The Signs in Elliptic Nets
Amir Akbary, Manoj Kumar, Soroosh Yazdani
We give a generalization of a theorem of Silverman and Stephens regarding the signs in an elliptic divisibility sequence to the case of an elliptic net. We also describe applicatio…
On the greatest prime factor of some divisibility sequences
Amir Akbary, Soroosh Yazdani
Let denote the greatest prime factor of . For integer , M. Ram Murty and S. Wong proved that, under the assumption of the ABC conjecture, $$P(a^n-1)\gg_{ε, a} n^{2-ε…
On Symmetries of Elliptic Nets and Valuations of Net Polynomials
Amir Akbary, Jeff Bleaney, Soroosh Yazdani
Under certain conditions, we prove that the set of zeros of an elliptic net forms an Abelian group. We present two applications of this fact. Firstly we give a generalization of a…
Level lowering modulo prime powers and twisted Fermat equations
Sander R. Dahmen, Soroosh Yazdani
We discuss a clean level lowering theorem modulo prime powers for weight cusp forms. Furthermore, we illustrate how this can be used to completely solve certain twisted Fermat…
Modular Abelian Varieties of Odd Modular Degree
Soroosh Yazdani
In this paper, we will study modular Abelian varieties with odd congruence numbers by examining the cuspidal subgroup of . We will show that the conductor of such Abelian v…
Modular Abelian Variety of Odd Modular Degree
S. Yazdani
We will study modular Abelian varieties with odd congruence numbers, by studying the cuspidal subgroup of . We show the conductor of such Abelian varieties must be of a spe…