Short sums of certain arithmetic functions
From MaRDI portal
Publication:1389812
DOI10.1007/BF02392880zbMath0917.11048MaRDI QIDQ1389812
Publication date: 2 August 1999
Published in: Acta Mathematica (Search for Journal in Brave)
largest prime factorHooley's \(\Delta\)-functionsums over short intervalsarithmetic functions of polynomial values
Asymptotic results on arithmetic functions (11N37) Other results on the distribution of values or the characterization of arithmetic functions (11N64) Rate of growth of arithmetic functions (11N56)
Related Items (32)
Multiplicative functions, exponential sums and the law of large numbers ⋮ Nair–Tenenbaum bounds uniform with respect to the discriminant ⋮ Fourier coefficients of symmetric power \(L\)-functions ⋮ Quantum variance for dihedral Maass forms ⋮ Mass equidistribution for automorphic forms of cohomological type on 𝐺𝐿₂ ⋮ MOYENNES DE FONCTIONS ARITHMÉTIQUES DE FORMES BINAIRES ⋮ Finding elliptic curves with a subgroup of prescribed size ⋮ Sommes courtes de certaines fonctions multiplicatives ⋮ Summing Hecke eigenvalues over polynomials ⋮ On the Hardy–Littlewood–Chowla conjecture on average ⋮ Superscars for arithmetic point scatters II ⋮ Counting rational points on quartic del Pezzo surfaces with a rational conic ⋮ Shifted convolution and the Titchmarsh divisor problem over 𝔽q[t] ⋮ The unipotent mixing conjecture ⋮ Mean value of an arithmetic function associated with the Piltz divisor function ⋮ Mass equidistribution of Hilbert modular eigenforms ⋮ A note on the local conjoint laws of the function number of prime factors ⋮ Joint equidistribution of CM points ⋮ Averages of arithmetic functions over principal ideals ⋮ Moments of averages of generalized Ramanujan sums ⋮ Generalized Fourier coefficients of multiplicative functions ⋮ Geometric progression-free sequences with small gaps ⋮ On the greatest prime factor of \(ab+1\) ⋮ Higher order divisor problems ⋮ On the distribution of lattice points on hyperbolic circles ⋮ Twists of Hooley's \(\Delta\)-function over number fields ⋮ COUNTING THE NUMBER OF SOLUTIONS TO THE ERDŐS–STRAUS EQUATION ON UNIT FRACTIONS ⋮ Short interval results for certain arithmetic functions ⋮ Close values of shifted modular inversions and the decisional modular inversion hidden number problem ⋮ Le problème de Tchébychev pour le douzième polynôme cyclotomique ⋮ Multiplicative functions in large arithmetic progressions and applications ⋮ An asymptotic formula for the number of smooth values of a polynomial
Cites Work
- Sur une question d'Erdős et Schinzel. II. (On a question of Erdős and Schinzel. II)
- Multiplicative functions of polynomial values in short intervals
- On a New Technique and Its Applications to the Theory of Numbers
- A Brun-Titschmarsh theorem for multiplicative functions.
- INTEGERS FREE OF LARGE PRIME DIVISORS IN SHORT INTERVALS
This page was built for publication: Short sums of certain arithmetic functions
