Moment Estimates for Exponential Sums Over k-free Numbers

Eugen Keil

doi:10.1142/S1793042112501515

Moment Estimates for Exponential Sums Over k-free Numbers

Eugen Keil^*

^*Corresponding author for this work

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

2 Citations (Scopus)

Abstract

We investigate the size of L-p-integrals for exponential sums over k-free numbers and prove essentially tight bounds.

Original language	English
Pages (from-to)	607-619
Number of pages	13
Journal	International Journal of Number Theory
Volume	9
Issue number	3
DOIs	https://doi.org/10.1142/S1793042112501515
Publication status	Published - May 2013

Keywords

Exponential sum
k-free numbers
squarefree numbers
integral
ADDITIVE THEORY
INTEGERS

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title = "Moment Estimates for Exponential Sums Over k-free Numbers",

abstract = "We investigate the size of L-p-integrals for exponential sums over k-free numbers and prove essentially tight bounds.",

keywords = "Exponential sum, k-free numbers, squarefree numbers, integral, ADDITIVE THEORY, INTEGERS",

author = "Eugen Keil",

year = "2013",

month = may,

doi = "10.1142/S1793042112501515",

language = "English",

volume = "9",

pages = "607--619",

journal = "International Journal of Number Theory",

issn = "1793-0421",

publisher = "World Scientific Publishing Co.",

number = "3",

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T1 - Moment Estimates for Exponential Sums Over k-free Numbers

AU - Keil, Eugen

PY - 2013/5

Y1 - 2013/5

N2 - We investigate the size of L-p-integrals for exponential sums over k-free numbers and prove essentially tight bounds.

AB - We investigate the size of L-p-integrals for exponential sums over k-free numbers and prove essentially tight bounds.

KW - Exponential sum

KW - k-free numbers

KW - squarefree numbers

KW - integral

KW - ADDITIVE THEORY

KW - INTEGERS

U2 - 10.1142/S1793042112501515

DO - 10.1142/S1793042112501515

M3 - Article (Academic Journal)

SN - 1793-0421

VL - 9

SP - 607

EP - 619

JO - International Journal of Number Theory

JF - International Journal of Number Theory

IS - 3

ER -

Moment Estimates for Exponential Sums Over k-free Numbers

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Keywords

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