Approximation of singular series and automata

DOI10.1007/s002290050222zbMath1007.11084OpenAlexW1965046890MaRDI QIDQ1974143

Pieter Moree

Publication date: 26 March 2003

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002290050222

zbMATH Keywords

Hardy-Littlewood circle methodsingular seriespartial zeta-functionArtin constantStephens constanttwin-prime constant

Mathematics Subject Classification ID

Formal languages and automata (68Q45) Evaluation of number-theoretic constants (11Y60) Analytic computations (11Y35)

Related Items (29)

Cyclotomic exponent sequences of numerical semigroups ⋮ Cyclotomic factors of necklace polynomials ⋮ A multiquadratic field generalization of Artin's conjecture ⋮ Computing the Mertens and Meissel–Mertens Constants for Sums over Arithmetic Progressions ⋮ Entropy and diffraction of the \(k\)-free points in \(n\)-dimensional lattices ⋮ On the average number of elements in a finite field with order or index in a prescribed residue class ⋮ Cyclotomic numerical semigroup polynomials with at most two irreducible factors ⋮ Artin's primitive root conjecture for quadratic fields ⋮ The average least quadratic nonresidue modulo \(m\) and other variations on a theme of Erdős ⋮ Representations of analytic functions as infinite products and their application to numerical computations ⋮ The Bateman-Horn conjecture: heuristic, history, and applications ⋮ Some heuristics and results for small cycles of the discrete logarithm ⋮ Values of the Euler function free of \(k\)th powers ⋮ A two-variable Artin conjecture ⋮ Artin prime producing quadratics ⋮ Roots of unity and nullity modulo $n$ ⋮ The formal series Witt transform ⋮ On the constant in the Mertens product for arithmetic progressions. II: Numerical values ⋮ Cyclotomic Numerical Semigroups ⋮ Cyclotomic coefficients: gaps and jumps ⋮ Jordan totient quotients ⋮ Chebyshev’s bias for composite numbers with restricted prime divisors ⋮ Graded algebras with cyclotomic Hilbert series ⋮ On gamma quotients and infinite products ⋮ Unitary cyclotomic polynomials ⋮ On the least common multiple of several random integers ⋮ Accurate computations of Euler products over primes in arithmetic progressions ⋮ A tale of two omegas ⋮ Fast multi-precision computation of some Euler products

This page was built for publication: Approximation of singular series and automata