The divisor function on residue classes II

DOI10.4064/aa161213-24-10zbMath1439.11255OpenAlexW4251074023MaRDI QIDQ4634535

Prapanpong Pongsriiam, Robert C. Vaughan

Publication date: 10 April 2018

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa161213-24-10

zbMATH Keywords

average orderarithmetic progressiondivisor functionresidue class

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (5)

Sums of two unlike powers in arithmetic progressions ⋮ Moments of moments of primes in arithmetic progressions ⋮ Unnamed Item ⋮ Sumsets associated with Wythoff sequences and Fibonacci numbers ⋮ The divisor function on residue classes. III

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Incomplete Kloosterman sums and a divisor problem. Appendix: On some exponential sums by Bryan J. Birch and Enrico Bombieri
• The generalized divisor problem over arithmetic progressions
• On the Barban-Davenport-Halberstam theorem. XVIII
• On the Barban–Davenport–Halberstam theorem: XIV
• Remark on Smith’s result on a divisor problem in arithmetic progressions
• The divisor function $d_3(n)$ in arithmetic progressions
• The divisor problem for arithmetic progressions with small modulus
• THE AVERAGE VALUE OF DIVISOR SUMS IN ARITHMETIC PROGRESSIONS
• The divisor function over arithmetic progressions
• The large sieve
• On the Barban-Davenport-Halberstam theorem. I.
• On the Barban-Davenport-Halberstam Theorem-II
• On the Barban-Davenport-Halberstam Theorem: Iii
• The analytic principle of the large sieve
• On a variance associated with the distribution of general sequences in arithmetic progressions. I
• On a variance associated with the distribution of general sequences in arithmetic progressions. II
• Exponential Sums and Lattice Points II
• On the Barban-Davenport-Halberstam theorem: IX
• The mean square of the divisor function
• The divisor function on residue classes I
• The large sieve
• THE 'LARGE SIEVE' METHOD AND ITS APPLICATIONS IN THE THEORY OF NUMBERS
• On the distribution of the divisor function in arithmetic progressions
• The divisor problem for arithmetic progressions
• Primes in arithmetic progressions
• Primes in arithmetic progressions

This page was built for publication: The divisor function on residue classes II