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- W2963608285 abstract "We obtain new uniform bounds for the symmetric tensor rank of multiplication in finite extensions of any finite field $$mathbb {F}_p$$ or $$mathbb {F}_{p^2}$$ where p denotes a prime number $$ge 5$$ . In this aim, we use the symmetric Chudnovsky-type generalized algorithm applied on sufficiently dense families of modular curves defined over $$mathbb {F}_{p^2}$$ attaining the Drinfeld–Vladuts bound and on the descent of these families to the definition field $$mathbb {F}_p$$ . These families are obtained thanks to prime number density theorems of type Hoheisel, in particular a result due to Dudek (Funct Approx Commmentarii Math, 55(2):177–197, 2016)." @default.
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- W2963608285 date "2018-10-01" @default.
- W2963608285 modified "2023-09-25" @default.
- W2963608285 title "Dense families of modular curves, prime numbers and uniform symmetric tensor rank of multiplication in certain finite fields" @default.
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- W2963608285 doi "https://doi.org/10.1007/s10623-018-0560-8" @default.
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