Wyniki wyszukiwania

1

On the logarithmic factor in error, term estimates in certain additive congruence problems

100%

Garaev M.

Acta Arithmetica

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2006

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tom 124

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nr 1

27-39

2

On the Waring-Goldbach problem with small non-integer exponent

100%

Garaev M.

Acta Arithmetica

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2003

|

tom 108

|

nr 3

297-302

3

On vertical zeros of ℜ ζ(s) and ℑ ζ(s)

88%

Garaev M.

Acta Arithmetica

|

2003

|

tom 108

|

nr 3

245-251

4

On a multiple trigonometric series

75%

Garaev M.

Acta Arithmetica

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2002

|

tom 102

|

nr 2

183-187

5

Kloosterman sums in residue rings

64%

Bourgain J., Garaev M.

Acta Arithmetica

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2014

|

tom 164

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nr 1

43-64

EN

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 general moduli.

Ograniczanie wyników

5 Acta Arithmetica

5 Garaev M.

1 Bourgain J.

1 2014

1 2006

2 2003

1 2002

On the logarithmic factor in error, term estimates in certain additive congruence problems

On the Waring-Goldbach problem with small non-integer exponent

On vertical zeros of ℜ ζ(s) and ℑ ζ(s)

On a multiple trigonometric series

Kloosterman sums in residue rings