Explicit bounds for primes in arithmetic progressions

From MaRDI portal
Publication:669494

DOI10.1215/ijm/1552442669zbMath1440.11180arXiv1802.00085OpenAlexW2963987338WikidataQ128294631 ScholiaQ128294631MaRDI QIDQ669494

Kevin O'Bryant, Andrew Rechnitzer, Greg Martin, Michael A. Bennett

Publication date: 15 March 2019

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.00085



Related Items

On the average value of, Conditional Bounds on Siegel Zeros, A Conjecture on Primes in Arithmetic Progressions and Geometric Intervals, Explicit bounds on exceptional zeroes of Dirichlet \(L\)-functions, EXPLICIT ZERO‐FREE REGIONS FOR DIRICHLET ‐FUNCTIONS, Ramanujan-Nagell cubics, Uniform explicit Stewart theorem on prime factors of linear recurrences, Unnamed Item, AN EXPLICIT VERSION OF CHEN’S THEOREM, Partial Gaussian sums and the Pólya-Vinogradov inequality for primitive characters, Explicit bound for the number of primes in arithmetic progressions assuming the Generalized Riemann Hypothesis, Improved constants for effective irrationality measures from hypergeometric functions, Counting elliptic curves over the rationals with a 7-isogeny, AN EFFECTIVE BOUND FOR GENERALISED DIOPHANTINE m-TUPLES, Deciding FO-rewritability of Regular Languages and Ontology-Mediated Queries in Linear Temporal Logic, New bounds for numbers of primes in element orders of finite groups, Explicit zero-free regions for the Riemann zeta-function, On members of Lucas sequences which are products of factorials, Explicit results for Euler’s factorial series in arithmetic progressions under GRH, On the sum of a prime and a square-free number with divisibility conditions, Computing generalized convolutions faster than brute force, Quadratic fields admitting elliptic curves with rational \(j\)-invariant and good reduction everywhere, Conditional estimates for the logarithmic derivative of Dirichlet \(L\)-functions, Classification of some vertex operator algebras of rank 3, Deciding FO-definability of regular languages, An explicit Pólya-Vinogradov inequality via Partial Gaussian sums, Euler's divergent series in arithmetic progressions, On the equation $\varphi (n)=\varphi (n+1)$, Explicit small heights in infinite non-abelian extensions, Nontrivial upper bounds for the least common multiple of an arithmetic progression, Unnamed Item, Prime powers dividing products of consecutive integer values of \(x^{2^n}+1\), Diophantine equations involving the Euler totient function, Euler’s function on products of primes in a fixed arithmetic progression, A lower bound on HMOLS with equal sized holes, Explicit bounds on exceptional zeroes of Dirichlet \(L\)-functions. II, On the divisibility of odd perfect numbers, quasiperfect numbers and amicable numbers by a high power of a prime, An elementary bound on Siegel zeroes, Medium-sized values for the prime number theorem for primes in arithmetic progressions, The Riemann hypothesis is true up to 3·1012, Counting zeros of Dirichlet $L$-functions, Padé approximation for a class of hypergeometric functions and parametric geometry of numbers, Densities in certain three-way prime number races