Zobrazeno 1 - 4
of 4
pro vyhledávání: '"Vishal Arul"'
Autor:
Vishal Arul, J. Steffen Müller
Publikováno v:
Expositiones Mathematicae.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8fb5af70921fa4fa1678d8770060b09b
https://doi.org/10.1016/j.exmath.2023.02.009
https://doi.org/10.1016/j.exmath.2023.02.009
Autor:
Vishal Arul
Publikováno v:
Journal de Théorie des Nombres de Bordeaux. 33:607-625
Fix distinct primes $\ell$ and $f$, a finite field $\mathbf{F}_{q}$ such that $q \equiv 1 \pmod{\ell f}$, and a character $\chi : \mathbf{F}_{q}^{\times} \to \mathbf{C}^{\times}$ of exact order $\ell f$. We present a new $\ell$-adic congruence for th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1c1c009fd7c966d91d1932f2f84d4fb4
https://doi.org/10.5802/jtnb.1171
https://doi.org/10.5802/jtnb.1171
Autor:
Vishal Arul
Publikováno v:
International Mathematics Research Notices. 2021:3143-3185
Yuri Zarhin gave formulas for “dividing a point on a hyperelliptic curve by 2”. Given a point $P$ on a hyperelliptic curve $\mathcal{C}$ of genus $g$, Zarhin gives the Mumford representation of an effective degree $g$ divisor $D$ satisfying $2(D
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7241196317b2f97a154241e226570a75
https://doi.org/10.1093/imrn/rnaa075
https://doi.org/10.1093/imrn/rnaa075
We describe an algorithm to compute the zeta function of a cyclic cover of the projective line over a finite field of characteristic $p$ that runs in time $p^{1/2 + o(1)}$. We confirm its practicality and effectiveness by reporting on the performance
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e66374b71ba359ada39ff8a4888d709
http://arxiv.org/abs/1806.02262
http://arxiv.org/abs/1806.02262
