[1] Bhargava, Manjul, Arul Shankar, and Jacob Tsimerman. “On the Davenport-Heilbronn theorems and second order terms.” Inventiones mathematicae 193.2 (2013): 439-499.
[2] Kable, Anthony C., and Akihiko Yukie. “Prehomogeneous vector spaces and field extensions. II.” Inventiones mathe- maticae 130.2 (1997): 315-344.
[3] Sato, Mikio, and Tatsuo Kimura. “A classification of irreducible prehomogeneous vector spaces and their relative invariants.” Nagoya Mathematical Journal 65 (1977): 1-155.
[4] Taniguchi, Takashi, and Frank Thorne. “Levels of distribution for sieve problems in prehomogeneous vector spaces.” preprint arXiv:1707.01850 (2017).
[5] Taniguchi, Takashi, and Frank Thorne.“Orbital exponential sums for prehomogeneous vector spaces.” Amer. J. Math., to appear. arXiv:1607.07827.
[6] Taniguchi, Takashi and Frank. Thorne. “Orbital L-functions for the space of binary cubic forms.” Canadian Journal of Mathematics. 65. (2013): 1320-1383.
[7] Taniguchi, Takashi, and Frank Thorne. “Secondary terms in counting functions for cubic fields.” Duke Mathematical Journal 162.13 (2013): 2451-2508.
[8] The PARI Group. PARI/GP version 2.8.0. Bordeaux, 2014. Available from http://pari.math.u-bordeaux.fr/.
[9] Wright, David J., and Akihiko Yukie. “Prehomogeneous vector spaces and field extensions.” Inventiones mathematicae 110.1 (1992): 283-314.
論文の公開元へ
