# Utilisateur·rice

Olivier • RAMARÉ
Directeur de Recherche (DR) • Affiliation : Centre National Recherche Scientifique (CNRS)
Site : Luminy • Bureau : 333 • Etage du bureau : 3 •

https://orcid.org/0000-0002-8765-0465 / Directeur-adjoint de l’institut Archimède depuis le 01/01/2021.

Groupe(s) scientifiques(s) de l'utilisateur :
Thématiques scientifiques :
• Analyse numérique et calcul scientifique
• Analyse harmonique
• Mathématiques discrètes
• Théorie algébrique des nombres, géométrie arithmétique
• Théorie analytique des nombres

# Publications HAL

2022/09 Journal of Number Theory - Counting ideals in ray classes

2022/03 Mathematics Newsletter - A Stronger Model for Peg Solitaire

2022/01 - A Higher Order Levin-Fainleib Theorem

2022/01 - Excursions in Multiplicative Number Theory

2021/10 - NOTES ON RESTRICTION THEORY IN THE PRIMES

2021/09 Functiones et Approximatio Commentarii Mathematici - Accurate computations of Euler products over primes in arithmetic progressions

2021/09 Proceedings of the Steklov Institute of Mathematics - Modular Ternary Additive Problems with Irregular or Prime Numbers

2021/04 Mathematics of Computation - FAST MULTI-PRECISION COMPUTATION OF SOME EULER PRODUCTS

2020/05 - Fast and precise computation of some Euler products

2020/05 International Journal of Number Theory - Product of primes in arithmetic progressions

2020/03 International Journal of Number Theory - Variant of the truncated Perron formula and primes in polynomial sets

2019/01 - ACCURATE COMPUTATIONS OF EULER PRODUCTS OVER PRIMES IN ARITHMETIC PROGRESSIONS

2019/01 Acta Arithmetica - Quantitative steps in the Axer–Landau equivalence theorem

2019/01 Banach Center Publications - Explicit average orders: news and problems

2018/10 Monatshefte für Mathematik - Discrepancy estimates for generalized polynomials

2018/06 - On the Missing Log Factor

2018/06 - Chowla’s Conjecture: From the Liouville Function to the Moebius Function

2018/06 Mathematische Zeitschrift - Monochromatic sums of squares

2018/01 Integers : Electronic Journal of Combinatorial Number Theory - Tail of a Moebius sum with coprimality conditions

2018/01 Journal de Théorie des Nombres de Bordeaux - Products of primes in arithmetic progressions: a footnote in parity breaking

2017/08 - Should Diamond OA be viewed as a threat to librarians?

2017/01 Publicationes Mathematicae Debrecen - Rationality of the zeta function of the subgroups of abelian p-groups

2017/01 Proceedings of the Steklov Institute of Mathematics - Quotient and product sets of thin subsets of the positive integers

2017/01 Colloquium Mathematicum - Explicit averages of non-negative multiplicative functions: going beyond the main term

2014/06 Acta Mathematica Hungarica - A Remark on The Geometry of Spaces of Functions with Prime Frequencies

2014/01 Israel Journal of Mathematics - ADDITIVE ENERGY OF DENSE SETS OF PRIMES AND MONOCHROMATIC SUMS

2014/01 Acta Arithmetica - Explicit estimates on the summatory functions of the Möbius function with coprimality restrictions

2013/12 Functiones et Approximatio Commentarii Mathematici - Some elementary explicit bounds for two mollifications of the Moebius function

2013/08 Bulletin of the London Mathematical Society - A note on additive properties of dense subsets of sifted sequences

2013/07 - A remark on the geometry of spaces of functions with prime frequencies

2013/01 Acta Arithmetica - From explicit estimates for primes to explicit estimates for the Möbius function

2013/01 Acta Arithmetica - Explicit estimates for the summatory function of $\Lambda (n)/ń$ from the one of $\Lambda (n)$

2013/01 EMS Newsletter - Prime numbers: emergence and victories of bilinear forms decomposition

2012/03 Mathematics of Computation - Explicit upper bounds for the remainder term in the divisor problem

2012/01 Revue de Mathématiques Spéciales (RMS) - Estimation de l'ordre moyen d'une fonction arithmétique par la méthode de convolution

2012/01 Proceedings of the London Mathematical Society - On long $\kappa$-tuples with few prime factors

2010/07 - Un parcours explicite en théorie multiplicative

2010/06 Bulletin of the London Mathematical Society - The number of rational numbers determined by large sets of integers

2010/05 Journal of Number Theory - On Bombieri's asymptotic sieve

2010/01 Functiones et Approximatio Commentarii Mathematici - Comparing $L(s, \chi)$ with its truncated Euler product and generalization

2010/01 Journal de Théorie des Nombres de Bordeaux - Eigenvalues in the large sieve inequality, II

2010/01 Functiones et Approximatio Commentarii Mathematici - Improving on the Brun-Titchmarsh Theorem

2009/01 Annales Mathématiques Blaise Pascal - A purely analytical lower bound for $L(1, \chi)$

2009/01 - Arithmetical Aspects of the Large Sieve Inequality

2007/01 Functiones et Approximatio Commentarii Mathematici - Eigenvalues in the large sieve inequality

2007/01 - Tame behaviour of the mean value of multiplicative functions and some inequalities relating values of Dirichlet series

2005/01 Acta Arithmetica - An explicit seven cube theorem.

2004/01 Acta Arithmetica - Approximate formulae for L(1,χ), II

2004/01 Acta Arithmetica - Approximate formulae for $L(1,\chi)$. II.

2001/01 Journal de Théorie des Nombres de Bordeaux - Additive properties of dense subsets of sifted sequences

1999/01 Mathematics of Computation - On Sums of Seven Cubes