On the index of fractions with square-free denominators in arithmetic progressions

DOI10.1007/s11139-007-9103-zzbMath1182.11012OpenAlexW2088383441MaRDI QIDQ943991

Marian Vâjâitu, Andrew H. Ledoan, Emre Alkan, Alexandru Zaharescu

Publication date: 12 September 2008

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-007-9103-z

zbMATH Keywords

Arithmetic progressionsIndex of Farey fractionsSquare-free integers

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Distribution of integers with specified multiplicative constraints (11N25) Farey sequences; the sequences (1^k, 2^k, dots) (11B57)

Related Items (2)

On the distribution of index of Farey sequences ⋮ Quotients of values of the Dedekind eta function

Cites Work

• The index of a Farey sequence.
• The statistics of the trajectory of a certain billiard in a flat two-torus
• The average length of a trajectory in a certain billiard in a flat two-torus
• On the distribution of the Farey sequence with odd denominators
• The distribution of special subsets of the Farey sequence
• A note on Farey fractions with odd denominators.
• Topics in multiplicative number theory
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
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