Non-vanishing of -th derivatives of twisted elliptic -functions in the critical point
Let be a modular elliptic curve over denote the -th derivative of its Hasse-Weil -series. We estimate the number of twisted elliptic curves such that .
Bilinear form of the remainder term in the Rosser-Iwaniec sieve of dimension ϰ ∈ (1/2,1)
Cubic norms represented by quadratic sequences
Book review: "Contemporary Cryptology" by D. Catalano, R. Cramer, I. Damgard, G. Di Crescenzo, D. Pointcheval, T. Takagi
On q-orders in primitive modular groups
We prove an upper bound for the number of primes p ≤ x in an arithmetic progression 1 (mod Q) that are exceptional in the sense that has no generator in the interval [1,B]. As a consequence we prove that if with a sufficiently large absolute constant c, then there exists a prime q dividing Q such that for some positive integer b ≤ B. Moreover we estimate the number of such q’s under suitable conditions.
Rang des courbes elliptiques et sommes d'exponentielles.
Anonymous signer verifiable encrypted signature from bilinear pairing
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