Displaying similar documents to “Notes on exponential-logarithmic terms”

Nonlinear exponential twists of the Liouville function

Qingfeng Sun (2011)

Open Mathematics

Similarity:

Let λ(n) be the Liouville function. We find a nontrivial upper bound for the sum X n 2 X λ ( n ) e 2 π i α n , 0 α The main tool we use is Vaughan’s identity for λ(n).

Double exponential integrability, Bessel potentials and embedding theorems

David Edmunds, Petr Gurka, Bohumír Opic (1995)

Studia Mathematica

Similarity:

This paper is a continuation of [5] and provides necessary and sufficient conditions for double exponential integrability of the Bessel potential of functions from suitable (generalized) Lorentz-Zygmund spaces. These results are used to establish embedding theorems for Bessel potential spaces which extend Trudinger's result.

On the L 1 norm of exponential sums

S. K. Pichorides (1980)

Annales de l'institut Fourier

Similarity:

The L 1 norm of a trigonometric polynomial with N non zero coefficients of absolute value not less than 1 exceeds a fixed positive multiple of C ( log N ) / ( log log N ) 2 .