Communication complexity of some number theoretic functions

Igor E. Shparlinski

doi:10.1016/j.aml.2006.05.024

Communication complexity of some number theoretic functions

Igor E. Shparlinski^*

^*Corresponding author for this work

School of Computing

Research output: Contribution to journal › Article › peer-review

Abstract

We show that the communication complexity of the parity of the sum of binary digits of x + y is at least 0.085667 ... n + O (1) where x and y are n-bit integers. We also obtain a nontrivial (but weaker) lower bound on the parity of the total number of prime divisors of x + y counted with multiplicity.

Original language	English
Pages (from-to)	872-875
Number of pages	4
Journal	Applied Mathematics Letters
Volume	20
Issue number	8
DOIs	https://doi.org/10.1016/j.aml.2006.05.024
Publication status	Published - Aug 2007

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10.1016/j.aml.2006.05.024

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abstract = "We show that the communication complexity of the parity of the sum of binary digits of x + y is at least 0.085667 ... n + O (1) where x and y are n-bit integers. We also obtain a nontrivial (but weaker) lower bound on the parity of the total number of prime divisors of x + y counted with multiplicity.",

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AB - We show that the communication complexity of the parity of the sum of binary digits of x + y is at least 0.085667 ... n + O (1) where x and y are n-bit integers. We also obtain a nontrivial (but weaker) lower bound on the parity of the total number of prime divisors of x + y counted with multiplicity.

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U2 - 10.1016/j.aml.2006.05.024

DO - 10.1016/j.aml.2006.05.024

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VL - 20

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JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

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Communication complexity of some number theoretic functions

Abstract

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