A polynomial divisor problem

DOI10.1515/CRELLE.2006.096zbMath1129.11041MaRDI QIDQ3437817

John B. Friedlander

Publication date: 10 May 2007

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

zbMATH Keywords

asymptotic formulageneralized divisor function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37)

Related Items (9)

Sums of the triple divisor function over values of a ternary quadratic form ⋮ Sum of the Fourier coefficients of \(SL(3, \mathbb{Z})\) Hecke Maass forms over quadratics ⋮ Sums of the triple divisor function over values of a quaternary quadratic form ⋮ Gaussian sequences in arithmetic progressions ⋮ Divisor weighted sums ⋮ Higher order divisor problems ⋮ On the average sum of the \(k\) th divisor function over values of quadratic polynomials ⋮ A twist of the Gauss circle problem by holomorphic cusp forms ⋮ A cubic analogue of the Friedlander-Iwaniec spin over primes

Cites Work

• Unnamed Item
• Hybrid bounds for Dirichlet L-functions
• The polynomial \(X^2+Y^4\) captures its primes
• Asymptotic sieve for primes
• Exceptional characters and prime numbers in short intervals

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