An Asymptotic Formula in the Theory of Numbers
From MaRDI portal
Publication:3244169
DOI10.1112/plms/s3-7.1.396zbMath0079.27301OpenAlexW2012987871MaRDI QIDQ3244169
Publication date: 1957
Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/plms/s3-7.1.396
Related Items (39)
On the number of divisors of quadratic polynomials ⋮ Much ado about Mathieu ⋮ TERNARY DIVISOR FUNCTIONS IN ARITHMETIC PROGRESSIONS TO SMOOTH MODULI ⋮ General divisor functions in arithmetic progressions to large moduli ⋮ L-functions and division towers ⋮ A parity problem on the free path length of a billiard in the unit square with pockets ⋮ Nonvanishing of \(L\)-functions for \(\mathrm{GL}(2)\) ⋮ The distribution of the free path lengths in the periodic two-dimensional Lorentz gas in the small-scatterer limit ⋮ Averages of shifted convolution sums for arithmetic functions ⋮ Modular hyperbolas ⋮ Triple correlations of ternary divisor functions. II ⋮ On a variance of Hecke eigenvalues in arithmetic progressions ⋮ Bilinear sums with GL(2)$GL(2)$ coefficients and the exponent of distribution of d3$d_3$ ⋮ Bounds on bilinear forms with Kloosterman sums ⋮ The generalized divisor problem over arithmetic progressions ⋮ Cycle integrals of the \(j\)-function and mock modular forms ⋮ Triple correlations of ternary divisor functions ⋮ Singular invariants and coefficients of harmonic weak Maass forms of weight \(5/2\) ⋮ \(k\)-moments of distances between centers of Ford circles ⋮ On the distribution of the Farey sequence with odd denominators ⋮ The variance of divisor sums in arithmetic progressions ⋮ Pair correlation of sums of rationals with bounded height ⋮ A higher rank Selberg sieve with an additive twist and applications ⋮ The value distribution of additive arithmetic functions on a line ⋮ On almost-primes in arithmetic progressions, III ⋮ An asymptotic formula in the theory of numbers ⋮ The uniform central limit theorem for theta sums ⋮ Generalized divisor functions in arithmetic progressions: I. ⋮ On \(n\)-dimensional Kloosterman sums ⋮ On the greatest prime factor of a quadratic polynomial ⋮ Hyperbolic lattice point problems ⋮ An asymptotic version of the prime power conjecture for perfect difference sets ⋮ Bilinear sums of Kloosterman sums, multiplicative congruences and average values of the divisor function over families of arithmetic progressions ⋮ Inhomogeneous convolutions ⋮ Über das summatorische Verhalten zahlentheoretischer Funktionen ⋮ Eine asymptotische Formel in der Zahlentheorie ⋮ Some diophantine systems ⋮ Exponential sums with reducible polynomials ⋮ On the quadratic divisor problem
This page was built for publication: An Asymptotic Formula in the Theory of Numbers
