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ANTS
2004
Springer
15 years 5 months ago
2004
Springer
In this paper, we study p-divisibility of discriminants of Hecke algebras associated to spaces of cusp forms of prime level. By considering cusp forms of weight bigger than 2, we a...
87
Voted
ANTS
2000
Springer
15 years 4 months ago
2000
Springer
We shall discuss the idea of finding all rational points on a curve C by first finding an associated collection of curves whose rational points cover those of C. This classical ...
ANTS
1998
Springer
15 years 4 months ago
1998
Springer
In this note we address the question whether for a given prime number p, the zeta-function of a number field always determines the p-part of its class number. The answer is known t...
104
Voted
ANTS
2010
Springer
15 years 4 months ago
2010
Springer
Abstract. We answer a question asked by Hajdu and Tengely: The only arithmetic progression in coprime integers of the form (a2 , b2 , c2 , d5 ) is (1, 1, 1, 1). For the proof, we ...
112
Voted
ANTS
2010
Springer
15 years 4 months ago
2010
Springer
Abstract. Mazur proved that any element ξ of order three in the Shafarevich-Tate group of an elliptic curve E over a number field k can be made visible in an abelian surface A in...