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ANTS
1998
Springer
14 years 2 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...
ANTS
2010
Springer
14 years 2 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 ...
ANTS
2010
Springer
14 years 2 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...
ANTS
2006
Springer
14 years 1 months ago
2006
Springer
This paper aims at introducing generalized Jacobians as a new candidate for discrete logarithm (DL) based cryptography. The motivation for this work came from the observation that ...
ANTS
2006
Springer
14 years 1 months ago
2006
Springer
The security and performance of pairing based cryptography has provoked a large volume of research, in part because of the exciting new cryptographic schemes that it underpins. We ...