A pseudo twin primes theorem

Alex V. Kontorovich

doi:10.1007/978-0-8176-8334-4_12

A pseudo twin primes theorem

Alex V. Kontorovich

Research output: Chapter in Book/Report/Conference proceeding › Chapter

1 Scopus citations

Abstract

Selberg identified the "parity" barrier that sieves alone cannot distinguish between integers having an even or odd number of factors. We give here a short and self-contained demonstration of parity breaking using bilinear forms, modeled on the twin primes conjecture.

Original language	English (US)
Title of host publication	Multiple Dirichlet Series, L-functions and Automorphic Forms
Publisher	Birkhauser Boston
Pages	287-298
Number of pages	12
ISBN (Electronic)	9780817683344
ISBN (Print)	9780817683337
DOIs	https://doi.org/10.1007/978-0-8176-8334-4_12
State	Published - Jan 1 2012
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)

Keywords

Bilinear forms
Exponential sums
Piatetski-Shapiro primes

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10.1007/978-0-8176-8334-4_12

Cite this

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KW - Exponential sums

KW - Piatetski-Shapiro primes

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EP - 298

BT - Multiple Dirichlet Series, L-functions and Automorphic Forms

PB - Birkhauser Boston

ER -

A pseudo twin primes theorem

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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