A computation of modular forms of weight one and small level
Tóm tắt
Từ khóa
Tài liệu tham khảo
Bosma, W., Cannon, J., Playoust, C.: The Magma algebra system. I. The user language. J. Symbolic Comput. 24(3–4), 235–265 (1997). [Computational algebra and number theory (London, 1993)]
Buzzard, K., Lauder, A.: A computation of modular forms of weight one and small level (webpage). http://people.maths.ox.ac.uk/lauder/weight1 (2016)
Buhler, J.P.: Icosahedral Galois Representations. Lecture Notes in Mathematics, vol. 654. Springer, Berlin (1978)
Buzzard, K.: Computing weight one modular forms over $${\mathbb{C}}$$ C and $${\overline{\mathbb{F}}_p}$$ F ¯ p . In: Computations with Modular Forms. Contrib. Math. Comput. Sci., vol. 6, pp. 129–146. Springer, Cham (2014)
The Sage Developers.: Sagemath, The Sage Mathematics Software System (Version 6.4.1). http://www.sagemath.org (2014)
Darmon, H., Lauder, A., Rotger, V.: Stark points and $$p$$ p -adic iterated integrals attached to modular forms of weight one. Forum Math. Pi, 96 (2015)
Darmon, H., Lauder, A., Rotger, V.: Gross-stark units and $$p$$ p -adic iterated integrals attached to modular forms of weight one. Ann. Sci. Math. Què. 40(2), 325–354 (2016)
Deligne, P., Serre, J.-P.: Formes modulaires de poids $$1$$ 1 . Ann. Sci. École Norm. Sup. (4) 7(1974), 507–530 (1975)
Frey, G. (ed.): On Artin’s conjecture for odd 2-dimensional representations. In: Lecture Notes in Mathematics, vol. 1585. Springer, Berlin (1994)
Khare, C., Wintenberger, J.-P.: Serre’s modularity conjecture. I. Invent. Math. 178(3), 485–504 (2009)
The LMFDB Collaboration.: The L-functions and modular forms database. http://www.lmfdb.org (2013)
Schaeffer, G.: The hecke stability method and ethereal forms. Ph.D. thesis, University of California, Berkeley (2012)
