On the logarithmic factor in error, term estimates in certain additive congruence problems
On vertical zeros of ℜ ζ(s) and ℑ ζ(s)
On a multiple trigonometric series
On the Waring-Goldbach problem with small non-integer exponent
Kloosterman sums in residue rings
We generalize some of our previous results on Kloosterman sums [Izv. Mat., to appear] for prime moduli to general moduli. This requires establishing the corresponding additive properties of the reciprocal-set I¯¹ = {x¯¹: x ∈ I}, where I is an interval in the ring of residue classes modulo a large positive integer. We apply our bounds on multilinear exponential sums to the Brun-Titchmarsh theorem and the estimate of very short Kloosterman sums, hence generalizing our earlier work to the setting of...
Distribution of special sequences modulo a large prime.
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