On the Shanks-Rényi Race Problem mod 5

✍ Scribed by J. Kaczorowski

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 301 KB
• Volume: 50
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1006/jnth.1995.1006

✦ Synopsis

It is proved that under the Generalized Riemann Hypothesis for Dirichlet (L)-functions ((\bmod 5)) for every permutation (\left(a_{1}, a_{2}, a_{3}, a_{4}\right)) of the sequence ((1,2,3,4)) the set of integers (m) satisfying (\psi\left(m, 5, a_{1}\right)>\psi\left(m, 5, a_{2}\right)>\psi\left(m, 5, a_{3}\right)>\psi\left(m, 5, a_{4}\right)) has positive lower density. 1995 Academic Press, Inc.