An analogue of a conjecture of Sato and Tate for a Hilbert modular form
1975 ◽
Vol 16
(2)
◽
pp. 69-87
◽
Keyword(s):
If k denotes a number field and εm is the product of an elliptic curve ε with itself m times over k, then for each prime π where ε has non-degenerate reduction, the zeta factor ζ(επ'S) can be expressed asWhere |π| denotes the norm of π. It is a consequence of a conjecture of Tate [16] that if ε does not have complex multiplications, then the numbers are distributed according to the density functionthat is, the density of the set of primes π such that – is
2001 ◽
Vol 12
(08)
◽
pp. 943-972
◽
2020 ◽
Vol 16
(10)
◽
pp. 2311-2377
2019 ◽
Vol 15
(10)
◽
pp. 2107-2114
2016 ◽
Vol 215
(1)
◽
pp. 255-315
◽
2009 ◽
Vol 145
(5)
◽
pp. 1081-1113
◽
2002 ◽
Vol 130
(9)
◽
pp. 2497-2502
◽
2012 ◽
Vol 153
(3)
◽
pp. 471-487
◽
Keyword(s):