Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Schaefer, Edward F."'
Carmichael showed for sufficiently large $L$, that $F_L$ has at least one prime divisor that is $\pm 1({\rm mod}\, L)$. For a given $F_L$, we will show that a product of distinct odd prime divisors with that congruence condition is a Fibonacci pseudo
Externí odkaz:
http://arxiv.org/abs/2105.13513
Autor:
Pomerance, Carl, Schaefer, Edward F.
Infinitely many elliptic curves over ${\bf Q}$ have a Galois-stable cyclic subgroup of order 4. Such subgroups come in pairs, which intersect in their subgroups of order 2. Let $N_i(X)$ denote the number of elliptic curves over ${\bf Q}$ with at leas
Externí odkaz:
http://arxiv.org/abs/2004.14947
Autor:
Schaefer, Edward F.
Publikováno v:
Mathematische Annalen, 310, 447--471, (1998)
In general, algorithms for computing the Selmer group of the Jacobian of a curve have relied on either homogeneous spaces or functions on the curve. We present a theoretical analysis of algorithms which use functions on the curve, and show how to exp
Externí odkaz:
http://arxiv.org/abs/1507.08325
Autor:
Schaefer, Edward F.
Publikováno v:
Journal of Number Theory, (56), 1996, 79-114
It is often the case that a Selmer group of an abelian variety and a group related to an ideal class group can both be naturally embedded into the same cohomology group. One hopes to compute one from the other by finding how close each is to their in
Externí odkaz:
http://arxiv.org/abs/1507.08324
Given a point (the "spider") on a rectangular box, we would like to find the minimal distance along the surface to its opposite point (the "fly" - the reflection of the spider across the center of the box). Without loss of generality, we can assume t
Externí odkaz:
http://arxiv.org/abs/1502.01036
Publikováno v:
LMS J. Comput. Math. 13 (2010) 451-460
Cassels has described a pairing on the 2-Selmer group of an elliptic curve which shares some properties with the Cassels-Tate pairing. In this article, we prove that the two pairings are the same.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/0710.2079
Publikováno v:
Duke Math. J. 137 (2007), no. 1, 103-158
We find the primitive integer solutions to x^2+y^3=z^7. A nonabelian descent argument involving the simple group of order 168 reduces the problem to the determination of the set of rational points on a finite set of twists of the Klein quartic curve
Externí odkaz:
http://arxiv.org/abs/math/0508174
Autor:
Schaefer, Edward F., Stoll, Michael
Publikováno v:
Transactions of the American Mathematical Society, 2004 Mar 01. 356(3), 1209-1231.
Externí odkaz:
https://www.jstor.org/stable/1195011
Autor:
Flynn, E. Victor, Leprevost, Franck, Schaefer, Edward F., Stein, William A., Stoll, Michael, Wetherell, Joseph L.
Publikováno v:
Mathematics of Computation, 2001 Oct 01. 70(236), 1675-1697.
Externí odkaz:
https://www.jstor.org/stable/2698749
Publikováno v:
Transactions of the American Mathematical Society, 2000 Dec 01. 352(12), 5583-5597.
Externí odkaz:
https://www.jstor.org/stable/221903