Browsing Mathematics publications (MU) by Subject "Exponential sums"
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Average Normalisations of Elliptic Curves
(Australian Mathematical Society, 2002)Ciet, Quisquater, and Sica have recently shown that every elliptic curve E over a finite field Fp is isomorphic to a curve y2 = x3 +ax+b with a and b of size O(p3/4). In this paper, we show that almost all elliptic curves ... 
On the average value of divisor sums in arithmetic progressions
(2005)We consider very short sums of the divisor function in arithmetic progressions prime to a fixed modulus and show that "on average" these sums are close to the expected value. We also give applications of our result to sums ...