Results 11 to 20 of about 67,597,676 (252)

MOMENT ESTIMATES FOR EXPONENTIAL SUMS OVER k-FREE NUMBERS [PDF]

open access: yesInternational Journal of Number Theory, 2013
We investigate the size of Lp-integrals for exponential sums over k-free numbers and prove essentially tight bounds.
KEIL, EUGEN
openaire   +4 more sources

A Note on Sums of Powers [PDF]

open access: yes, 2007
We improve a result of Bennett concerning certain sequences involving sums of powers of positive ...
Gao, Peng
core   +6 more sources

From Oscillatory Integrals and Sublevel Sets to Polynomial Congruences and Character Sums [PDF]

open access: yes, 2010
We present a slight extension of a classical lemma of Hensel and give various applications to polynomial congruences and character sums; in particular, we give a new proof of a classical result of Hua on complete exponential sums.
James Wright, Wright, James
core   +1 more source

Restricted divisor sums [PDF]

open access: yes, 2002
There is a body of work in the literature on various restricted sums of the number of divisors of an integer function including that described in [2-9, 11] and summarised in Section 2 ...
Broughan, Kevin A.
core   +1 more source

Exponential integrability of stochastic convolutions [PDF]

open access: yes, 2003
Sucient conditions are found for stochastic convolution integrals driven by a Wiener process in a Hilbert space to belong to the Orlicz space expL2; standard exponential tail estimates follow from these results.
Seidler, Jan, Sobukawa, Takuya
core   +1 more source

Some problems on exponential sums [PDF]

open access: yes, 2020
Supervisor: Rupam BarmanThe central theme of this thesis is to study the moments of certain exponential sums, which we primarily capture by some asymptotic formulas.
Bag, Nilanjan
core   +1 more source

Mordell’s exponential sum estimate revisited [PDF]

open access: yesJournal of the American Mathematical Society, 2005
The aim of this paper is to extend recent work of S. Konyagin and the author on Gauss sum estimates for large degree to the case of ‘sparse’ polynomials. In this context we do obtain a nearly optimal result, improving on the works of Mordell and of Cochrane and Pinner.
openaire   +2 more sources

On the distance distribution of duals of BCH codes [PDF]

open access: yes, 1999
We derive upper bounds on the components of the distance distribution of duals of BCH codes. Roughly speaking, these bounds show that the distance distribution can be upper-bounded by the corresponding normal distribution. To derive the bounds we use the
Krasikov, I, I. Krasikov, S. Litsyn
core   +2 more sources

Exponential sums with reducible polynomials

open access: yesDiscrete Analysis, 2019
Exponential sums with reducible polynomials, Discrete Analysis 2019:15, 31 pp. A sequence $(a_n)$ of real numbers in the interval $[0,1]$ is said to be _equidistributed_ if for every subinterval $[a,b]$ of $[0,1]$, the proportion of the $a_n$ that live
Cécile Dartyge, Greg Martin
doaj   +1 more source

Parameter estimation for exponential sums by approximate Prony method [PDF]

open access: yesSignal Processing, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Daniel Potts, Manfred Tasche
openaire   +3 more sources

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