Some problems about the ternary quadratic form m12+m22+m32

DOI10.4064/aa156-2-1zbMath1270.11099OpenAlexW2030452366MaRDI QIDQ4649932

Ruting Guo, Zhai, Wenguang

Publication date: 15 November 2012

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

Full work available at URL: https://doi.org/10.4064/aa156-2-1

zbMATH Keywords

circle methodasymptotic formulaerror termdivisor functionvon Mangoldt functionSums of three squares

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Asymptotic results on arithmetic functions (11N37) Goldbach-type theorems; other additive questions involving primes (11P32) Applications of the Hardy-Littlewood method (11P55) Primes represented by polynomials; other multiplicative structures of polynomial values (11N32)

Related Items (17)

Sums of the triple divisor function over values of a ternary quadratic form ⋮ Sum of divisors of a quaternary quadratic form with almost equal variables ⋮ The values of general quadratic forms at prime arguments ⋮ Sums of the \(k\)th divisor function of the ternary quadratic with prime variables ⋮ Sums of higher divisor functions ⋮ Sums of the triple divisor function over values of a quaternary quadratic form ⋮ Quadratic forms connected with Fourier coefficients of Maass cusp forms ⋮ Ternary quadratic form with prime variables attached to Fourier coefficients of primitive holomorphic cusp form ⋮ Bombieri-type theorems for exponential sums over primes in short intervals and its application ⋮ Average behavior of the triple divisor function over values of quadratic form ⋮ On the average sum of the \(k\) th divisor function over values of quadratic polynomials ⋮ On an analogue of prime vectors among integer lattice points in ellipsoids for automorphic forms ⋮ On the sum of divisors of mixed powers in short intervals ⋮ Sums of the higher divisor function of diagonal homogeneous forms ⋮ A divisor problem attached to regular quadratic forms ⋮ Sums of divisors of the ternary quadratic with almost equal variables ⋮ A quadratic form with prime variables associated with Hecke eigenvalues of a cusp form

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