Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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).

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The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess