2 Kevin
نویسنده
چکیده
Let K be a number field and r an integer. Given an elliptic curve E , defined over K , we consider the problem of counting the number of degree two prime ideals of K with trace of Frobenius equal to r . Under certain restrictions on K , we show that “on average” the number of such prime ideals with norm less than or equal to x satisfies an asymptotic identity that is in accordance with standard heuristics. This work is related to the classical Lang–Trotter conjecture and extends the work of several authors.
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تاریخ انتشار 2013