Open Access
September 2015 Set of uniqueness of shifted Gaussian primes
Jay Mehta, G.K. Viswanadham
Funct. Approx. Comment. Math. 53(1): 123-133 (September 2015). DOI: 10.7169/facm/2015.53.1.7

Abstract

In this paper, we show that any additive complex valued function over non-zero Gaussian integers which vanishes on the shifted Gaussian primes is necessarily identically zero.

Citation

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Jay Mehta. G.K. Viswanadham. "Set of uniqueness of shifted Gaussian primes." Funct. Approx. Comment. Math. 53 (1) 123 - 133, September 2015. https://doi.org/10.7169/facm/2015.53.1.7

Information

Published: September 2015
First available in Project Euclid: 28 September 2015

zbMATH: 06862320
MathSciNet: MR3402774
Digital Object Identifier: 10.7169/facm/2015.53.1.7

Subjects:
Primary: 11N36
Secondary: 11N64

Keywords: additive functions , set of uniqueness , shifted Gaussian primes

Rights: Copyright © 2015 Adam Mickiewicz University

Vol.53 • No. 1 • September 2015
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