scientific article; zbMATH DE number 1267537

From MaRDI portal
Publication:4235425

DOI10.1155/S1073792898000592zbMath0924.11018OpenAlexW50404213MaRDI QIDQ4235425

Andrew Granville

Publication date: 17 June 1999

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/s1073792898000592

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.



Related Items (62)

Arithmetic Properties of Blocks of Consecutive IntegersHeights on stacks and a generalized Batyrev–Manin–Malle conjectureOn the Bertini regularity theorem for arithmetic varietiesMultiplicative partitions of numbers with a large squarefree divisorSquarefree values of polynomial discriminants. IHilbert cubes in arithmetic setsSquare-free values of multivariate polynomials over function fields in linear sparse setsLecture on the abc Conjecture and Some of Its ConsequencesSieve methods for varieties over finite fields and arithmetic schemesCounting squarefree values of polynomials with error termGreatest prime divisors of polynomial values over function fieldsInfinite families of monogenic trinomials and their Galois groupsSquare-free values of polynomials over the rational function fieldA dynamical characterization for monogenity at every level of some infinite -towersExplicit bounds for large gaps between squarefree integersOn Prime-Order Elliptic Curves with Embedding Degrees k = 3, 4, and 6On the squarefree values of \(a^4+b^3\)The probability that a complete intersection is smoothLower bounds for the modified Szpiro ratioA family of cyclic cubic polynomials whose roots are systems of fundamental units.On the random Chowla conjectureOn the mod-p distribution of discriminants of G-extensionsDensities on Dedekind domains, completions and Haar measureQuadratic fields admitting elliptic curves with rational \(j\)-invariant and good reduction everywhereErgodic and Statistical Properties of $\B$-Free NumbersMonogenic pure cubicsSquarefree values of multivariable polynomialsPower-free values, large deviations, and integer points on irrational curvesOn the prime factors of the iterates of the Ramanujan τ–functionElliptic Wieferich primesFinite index theorems for iterated Galois groups of cubic polynomialsProbabilistic study of Fermats quotientsA parametrization of \(\theta\)-congruent numbers with many prime factors and with prescribed prime factorsGeometric progression-free sequences with small gapsShifted products that are coprime pure powers\(B\)-free numbers in short arithmetic progressionsTowards an `average' version of the Birch and Swinnerton-Dyer conjectureDiophantine approximation with mild divisibility constraintsThe $abc$ Conjecture implies the Weak Diversity ConjectureGenerators for the elliptic curve \(y^2=x^3-nx\)A note on the Northcott property and undecidabilitySquare-free values of decomposable formsOn the representation of \(k\)-free integers by binary formsOn the variance of squarefree integers in short intervals and arithmetic progressionsOn square-free values of large polynomials over the rational function fieldDynamical irreducibility of polynomials modulo primesPerfect powers In value sets and orbits of polynomialsDENSITY RESULTS FOR SPECIALIZATION SETS OF GALOIS COVERSON THE INDEX OF COMPOSITION OF THE EULER FUNCTION AND OF THE SUM OF DIVISORS FUNCTIONFrom Picard groups of hyperelliptic curves to class groups of quadratic fieldsSquare-free values of reducible polynomialsEmulating Primality with Multiset Representations of Natural NumbersA heuristic for boundedness of ranks of elliptic curvesA GENERALIZATION OF THE CONGRUENT NUMBER PROBLEMA construction of polynomials with squarefree discriminantsAnalytic combinatorics, proof-theoretic ordinals, and phase transitions for independence resultsThe ABC conjecture, arithmetic progressions of primes and squarefree values of polynomials at prime argumentsUnnamed ItemOrders of units in integral group rings and blocks of defect 1Canonical Heights and Preperiodic Points for Certain Weighted Homogeneous Families of PolynomialsRoot numbers and ranks in positive characteristicRandomness of Möbius coefficients and Brownian motion: growth of the Mertens function and the Riemann hypothesis




This page was built for publication: