4 citations · 4 across the 2 of their papers we have counts for
4 papers
Imaginary quadratic fields with finite
Tim Evink
Caraiani and Newton have proven that if is an imaginary quadratic number field such that has rank over , then every elliptic curve over is modular. This pa…
A remark on prime (non)congruent numbers
Tim Evink, Jaap Top, Jakob Dirk Top
This paper discusses prime numbers that are (resp. are not) congruent numbers. Particularly the only case not fully covered by earlier results, namely primes of the form ,…
Two-descent on some genus two curves
Tim Evink, Gert-Jan van der Heiden, Jaap Top
For the hyperelliptic curve C_p with equation y^2=x(x-2p)(x-p)(x+p)(x+2p) with p a prime number, we discuss bounds for the rank of its Jacobian over Q, find many cases having 2-tor…
Tribonacci numbers and primes of the form
Tim Evink, Paul Alexander Helminck
In this paper we show that for any prime number not equal to or , the Tribonacci number is divisible by if and only if is of the form . We…