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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

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✦ 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.


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