On the Lang–Trotter conjecture for two elliptic curves
Author:
Funder
NSERC Discovery Grant
PIMS postdoctoral fellowship
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory
Link
http://link.springer.com/content/pdf/10.1007/s11139-018-0050-7.pdf
Reference27 articles.
1. Akbary, A., David, C., Juricevic, R.: Average distributions and products of special values of L-series. Acta Arith. 111(3), 239–268 (2004). https://doi.org/10.4064/aa111-3-3.
2. Baier, S., Jones, N.: A refined version of the Lang-Trotter conjecture. Int. Math. Res. Not. IMRN 3, 433–461 (2009). https://doi.org/10.1093/imrn/rnn136.
3. Castryck, W., Hubrechts, H.: The distribution of the number of points modulo an integer on elliptic curves over finite fields. Ramanujan J. 30(2), 223–242 (2013)
4. Chandee, V., David, C., Koukoulopoulos, D., Smith, E.: The frequency of elliptic curve groups over prime finite fields. Can. J. Math. 68(4), 721–761 (2016). https://doi.org/10.4153/CJM-2015-013-1.
5. Cojocaru, A., Davis, R., Silverberg, A., Stange, K.: Arithmetic properties of the Frobenius traces defined by a rational abelian variety, with two appendices by J-P Serre. Int. Math. Res. Not. IMRN 12, 3557–3602 (2017). https://doi.org/10.1093/imrn/rnw058
Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. The Lang–Trotter conjecture for products of non-CM elliptic curves;The Ramanujan Journal;2022-03-21
2. Bounds for the distribution of the Frobenius traces associated to products of non-CM elliptic curves;Canadian Journal of Mathematics;2022-03-07
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