A METRIC THEORY of MINIMAL GAPS

Zeév Rudnick

doi:10.1112/S0025579318000165

A METRIC THEORY of MINIMAL GAPS

Zeév Rudnick

School of Mathematical Sciences

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

We study the minimal gap statistic for fractional parts of sequences of the form, where is a sequence of distinct integers. Assuming that the additive energy of the sequence is close to its minimal possible value, we show that for almost all, the minimal gap is close to that of a random sequence.

Original language	English
Pages (from-to)	628-636
Number of pages	9
Journal	Mathematika
Volume	64
Issue number	3
DOIs	https://doi.org/10.1112/S0025579318000165
State	Published - 2018

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1112/S0025579318000165

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title = "A METRIC THEORY of MINIMAL GAPS",

abstract = "We study the minimal gap statistic for fractional parts of sequences of the form, where is a sequence of distinct integers. Assuming that the additive energy of the sequence is close to its minimal possible value, we show that for almost all, the minimal gap is close to that of a random sequence.",

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DO - 10.1112/S0025579318000165

M3 - مقالة

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VL - 64

SP - 628

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JO - Mathematika

JF - Mathematika

IS - 3

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A METRIC THEORY of MINIMAL GAPS

Abstract

All Science Journal Classification (ASJC) codes

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