GOLDBACH REPRESENTATIONS IN ARITHMETIC PROGRESSIONS AND ZEROS OF DIRICHLET <i>L</i> ‐FUNCTIONS

Gautami Bhowmik, Karin Halupczok, Kohji Matsumoto, Yuta Suzuki

Type: Article

Publication Date: 2018-08-24

Citations: 24

DOI: https://doi.org/10.1112/s0025579318000323

Abstract

Assuming a conjecture on distinct zeros of Dirichlet -functions we get asymptotic results on the average number of representations of an integer as the sum of two primes in arithmetic progression. On the other hand the existence of good error terms gives information on the location of zeros of -functions. Similar results are obtained for an integer in a congruence class expressed as the sum of two primes.

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arXiv (Cornell University) - View - PDF
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Mathematika - View

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