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Distribution of rational numbers in short intervals

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Publication:926492
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DOI10.1007/s11139-007-9031-yzbMath1195.11097OpenAlexW2130670789MaRDI QIDQ926492

Matti Jutila

Publication date: 20 May 2008

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

Full work available at URL: https://doi.org/10.1007/s11139-007-9031-y


zbMATH Keywords

circle methoddistribution of rational numbers


Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) Irregularities of distribution, discrepancy (11K38)


Related Items (7)

A scaling property of Farey fractions ⋮ On the polynomial Ramanujan sums over finite fields ⋮ On zeros of Hecke \(L\)-functions and their linear combinations on the critical line ⋮ On the distribution of Ramanujan sums over number fields ⋮ On the shifted convolution problem in mean ⋮ On the zeros on the critical line of \(L\)-functions corresponding to automorphic cusp forms ⋮ Ramanujan sums as supercharacters



Cites Work

  • A quadratic divisor problem
  • An additive problem in the Fourier coefficients of cusp forms
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