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Binomial exponential sums
We obtain new bounds of exponential sums modulo a prime p with binomials axk + bxn. In particular, for k=1, we improve the bound of Karatsuba (1967) from O(n1/4 p3/4) to O(p3/4 + n1/3 p2/3) for any n, and then use it ...
Zero-cycles of degree one on Skorobogatov's bielliptic surface
© 2017 Elsevier Inc. Skorobogatov constructed a bielliptic surface which is a counterexample to the Hasse principle not explained by the Brauer–Manin obstruction. We show that this surface has a 0-cycle of degree 1, as ...