A Structure Theorem For Multiplicative Functions Over the Gaussian Integers and Application

Decomposition of Multiplicative Functions over Gaussian Integers

Authors

  • Nitika Bundelkhand University, Jhansi, UP Author

Keywords:

structure theorem, multiplicative functions, Gaussian integers, periodic, U 3 - Gowers uniformity norm

Abstract

In this paper we present about to show a structuretheorem for multiplicative functions on the Gaussian integers which performthat each delimited multiplicative purpose on the Gaussian integers can bedecayed addicted to a term which is about periodic and one more which has asmall U 3 - Gowers uniformity norm.

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Published

2011-11-01