On Wigert's type divisor problem

DOI10.1016/j.jmaa.2022.126619zbMath1506.11122OpenAlexW4292622711MaRDI QIDQ2079557

Khyati, Debika Banerjee

Publication date: 30 September 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126619

zbMATH Keywords

Bernoulli numbersdivisor functionBernoulli polynomialsexponent pairsrestricted divisor functionvan der Corput

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Asymptotic results on arithmetic functions (11N37) (zeta (s)) and (L(s, chi)) (11M06)

Cites Work

• New omega theorems for two classical lattice point problems
• Large values of the error term in the divisor problem
• Sign changes of \(E(T)\), \(\Delta(x)\), and \(P(x)\)
• Sign changes of error terms related to arithmetical functions
• On the Parity of the Number of Small Divisors of n
• Some extremal functions in Fourier analysis
• Exponential Sums and Lattice Points III
• Exponential sums and the Riemann zeta function v
• On higher-power moments of Δ(x) (II)
• Mean square of the remainder term in the Dirichlet divisor problem II
• On restricted divisor sums associated to the Chowla–Walum conjecture
• Higher-Power Moments of δ(x ), E(t ) and P(x )
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On Wigert's type divisor problem