Dense families of modular curves, prime numbers and uniform symmetric tensor rank of multiplication in certain finite fields
  We obtain new uniform bounds for the symmetric tensor rank of multiplication
in finite extensions of any finite field Fp or Fp2 where p denotes a prime
number greater or equal than 5. In this aim, we use the symmetric
Chudnovsky-type generalized algorithm applied on sufficiently dense families of
modular curves defined over Fp2 attaining the Drinfeld-Vladuts bound and on the
descent of these families to the definition field Fp. These families are
obtained thanks to prime number density theorems of type Hoheisel, in
particular a result due to Dudek (2016).
