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Improving on the Brun-Titchmarsh Theorem

Olivier Ramaré , Jan-Christoph Schlage-Puchta
Functiones et Approximatio Commentarii Mathematici, 2010, 42 (2), pp.145-151. ⟨10.4064/aa131-4-4⟩
Article dans une revue hal-02572746v1

Products of primes in arithmetic progressions: a footnote in parity breaking

Olivier Ramare , Aled Walker
Journal de Théorie des Nombres de Bordeaux, 2018, 30 (1), pp.219-225
Article dans une revue hal-02025094v1
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FAST MULTI-PRECISION COMPUTATION OF SOME EULER PRODUCTS

Olivier Ramaré , S Ettahri , L Surel
Mathematics of Computation, 2021
Article dans une revue hal-03381427v1

Monochromatic sums of squares

Gyan Prakash , D. S. Ramana , Olivier Ramaré
Mathematische Zeitschrift, 2018, 289 (1-2), pp.51-69. ⟨10.1007/s00209-017-1943-7⟩
Article dans une revue hal-02060277v1

Discrepancy estimates for generalized polynomials

Anirban Mukhopadhyay , Olivier Ramare , G.K. Viswanadham
Monatshefte für Mathematik, 2018, 187 (2), pp.343-356. ⟨10.1007/s00605-017-1119-x⟩
Article dans une revue hal-02075688v1
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The number of rationals determined by large sets of sifted integers

Olivier Ramaré
Proceedings - Mathematical Sciences, 2022, 132, ⟨10.1007/s12044-022-00698-z⟩
Article dans une revue hal-04057230v1
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A note on additive properties of dense subsets of sifted sequences

Olivier Ramaré
Bulletin of the London Mathematical Society, 2013, 45 (4), pp.677-682. ⟨10.1112/blms/bds100⟩
Article dans une revue hal-02572814v1
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On long $\kappa$-tuples with few prime factors

Olivier Ramaré
Proceedings of the London Mathematical Society, 2012, 104 (1), pp.158-196. ⟨10.1112/plms/pdr026⟩
Article dans une revue hal-02572799v1
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Fast and precise computation of some Euler products

S Ettahri , Olivier Ramaré , L Surel
2020
Pré-publication, Document de travail hal-02585972v1
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An explicit upper bound for $L(1,\chi )$ when $\chi $ is quadratic

D R Johnston , Olivier Ramaré , T. Trudgian
Research in Number Theory, 2023, 9 (4), pp.72. ⟨10.1007/s40993-023-00476-4⟩
Article dans une revue hal-04238675v1
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A Remark on The Geometry of Spaces of Functions with Prime Frequencies

Pascal Lefèvre , Etienne Matheron , Olivier Ramaré
Acta Mathematica Hungarica, 2014, 143 (1), pp.75-80. ⟨10.1007/s10474-014-0408-2⟩
Article dans une revue hal-02572855v1
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Explicit estimates on the summatory functions of the Möbius function with coprimality restrictions

Olivier Ramaré
Acta Arithmetica, 2014, 165 (1), pp.1-10. ⟨10.4064/aa165-1-1⟩
Article dans une revue hal-02572851v1

Un parcours explicite en théorie multiplicative

Olivier Ramaré
2010
Ouvrages hal-03660151v1
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On Bombieri's asymptotic sieve

Olivier Ramaré
Journal of Number Theory, 2010, 130 (5), pp.1155-1189. ⟨10.1016/j.jnt.2009.10.014⟩
Article dans une revue hal-02572790v1

Approximate formulae for $L(1,\chi)$. II.

Olivier Ramare
Acta Arithmetica, 2004, 112 n° 2, pp.141--149
Article dans une revue hal-00018082v1
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Tame behaviour of the mean value of multiplicative functions and some inequalities relating values of Dirichlet series

Olivier Ramaré
2007
Pré-publication, Document de travail hal-02572687v1
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Should Diamond OA be viewed as a threat to librarians?

Anna Wojciechowska , Olivier Ramaré
Satellite Meeting "Serials and Other Continuing Resources Section & Acquisition and Collection Development" of the 83rd IFLA General Conference and Assembly (IFLA WLIC 2017), Aug 2017, Gdańsk, Poland
Communication dans un congrès hal-01775513v1
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EXPLICIT COUNT OF INTEGRAL IDEALS OF AN IMAGINARY QUADRATIC FIELD

Olivier Ramaré
2023
Pré-publication, Document de travail hal-04241711v1
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On Snirel'man's Constant

Olivier Ramaré
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 1995
Article dans une revue hal-02871110v1
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Product of three primes in large arithmetic progressions

Ramachandran Balasubramanian , Olivier Ramaré , Priyamvad Srivastav
International Journal of Number Theory, 2022, 19 (04), pp.843-857. ⟨10.1142/S1793042123500422⟩
Article dans une revue hal-04467242v1
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Some elementary explicit bounds for two mollifications of the Moebius function

Olivier Ramaré
Functiones et Approximatio Commentarii Mathematici, 2013, 49 (2), pp.229-240. ⟨10.7169/facm/2013.49.2.3⟩
Article dans une revue hal-02573950v1

Arithmetical Aspects of the Large Sieve Inequality

Olivier Ramaré
2009
Ouvrages hal-03660135v1

Short effective intervals containing primes

Olivier Ramaré , Yannick Saouter
Journal of Number Theory, 2003, 98 (1), pp.10-33. ⟨10.1016/S0022-314X(02)00029-X⟩
Article dans une revue istex hal-02965430v1

Chowla’s Conjecture: From the Liouville Function to the Moebius Function

Olivier Ramare
Ferenczi, S; KulagaPrzymus, J; Lemanczyk, M. ERGODIC THEORY AND DYNAMICAL SYSTEMS IN THEIR INTERACTIONS WITH ARITHMETICS AND COMBINATORICS, 2213, SPRINGER INTERNATIONAL PUBLISHING AG, pp.317-323, 2018, Lecture Notes in Mathematics, 978-3-319-74908-2; 978-3-319-74907-5. ⟨10.1007/978-3-319-74908-2_16⟩
Chapitre d'ouvrage hal-02016091v1
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Modular Ternary Additive Problems with Irregular or Prime Numbers

Olivier Ramaré , Gopajosiula Kasi Viswanadham
Proceedings of the Steklov Institute of Mathematics, 2021, 314, pp.211-247. ⟨10.4213/tm4191⟩
Article dans une revue hal-03383050v1
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Explicit average orders: news and problems

Olivier Ramaré
Banach Center Publications, 2019, 118, pp.153-176. ⟨10.4064/bc118-10⟩
Article dans une revue hal-02585977v1

Tail of a Moebius sum with coprimality conditions

P. Akhilesh , Olivier Ramaré
Integers : Electronic Journal of Combinatorial Number Theory, 2018, 18, Paper No. A4, 7
Article dans une revue hal-02090171v1
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Planik and Square Dance, two planar permutation games

Olivier Ramaré
Resonance, 2023, 28 (11), pp.1185-1699. ⟨10.1007/s12045-023-1706-1⟩
Article dans une revue hal-04467237v1
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EXPONENTIAL SUMS OVER PRIMES WITH MULTIPLICATIVE COEFFICIENTS

Olivier Ramaré , Gopajosiula Kasi Viswanadham
Mathematische Zeitschrift, 2023, 304 (50), 21 pp
Article dans une revue hal-04467252v1

Explicit averages of non-negative multiplicative functions: going beyond the main term

Olivier Ramaré , P. Akhilesh
Colloquium Mathematicum, 2017, 147 (2), pp.275 - 313. ⟨10.4064/cm6080-4-2016⟩
Article dans une revue hal-01550555v1