Olivier Ramaré

Olivier Ramaré's AcademicInfluence.com Rankings

Olivier Ramaré

Mathematics

#2920

World Rank

#4403

Historical Rank

Measure Theory

#4918

World Rank

#5779

Historical Rank

mathematics Degrees

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Mathematics

Why Is Olivier Ramaré Influential?

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According to Wikipedia, Olivier Ramaré is a French mathematician who works as Senior researcher for the CNRS. He is currently attached to Aix-Marseille Université. Ramaré earned a doctorate in 1991 from the University of Bordeaux with a dissertation Contribution au problème de Goldbach : tout entier >1 est somme d'au plus treize nombres premiers supervised by Jean-Marc Deshouillers.

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Olivier Ramaré's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

On Šnirel'man's constant (1995) (74)
Primes in arithmetic progressions (1996) (71)
Explicit bounds on exponential sums and the scarcity of squarefree binomial coefficients (1996) (70)
Approximate formulae for L(1,χ), II (2001) (45)
Arithmetical Aspects of the Large Sieve Inequality (2009) (38)
Additive properties of dense subsets of sifted sequences (2001) (38)
An explicit density estimate for Dirichlet L-series (2015) (31)
From explicit estimates for primes to explicit estimates for the Möbius function (2013) (24)
Explicit upper bounds for the remainder term in the divisor problem (2011) (21)
Explicit estimates on several summatory functions involving the Moebius function (2014) (20)
Explicit estimates for the summatory function of Λ(n)/n from the one of Λ(n) (2013) (20)
Eigenvalues in the large sieve inequality (2007) (18)
Explicit estimates on the summatory functions of the Möbius function with coprimality restrictions (2014) (18)
Quotient and product sets of thin subsets of the positive integers (2017) (18)
Average orders of multiplicative arithmetical functions of integer matrices (1994) (16)
Almost periodicity of some error terms in prime number theory (2003) (16)
Short effective intervals containing primes (2003) (14)
Explicit averages of non-negative multiplicative functions: going beyond the main term (2017) (13)
The number of rational numbers determined by large sets of integers (2009) (12)
Additive energy of dense sets of primes and monochromatic sums (2014) (11)
Algebra of Matrix Arithmetic (1998) (10)
A geometrical interpretation (2009) (9)
On sums of seven cubes (1999) (8)
Some elementary explicit bounds for two mollifications of the Moebius function (2013) (7)
An explicit result of the sum of seven cubes (2007) (6)
Explicit Estimates: From Λ(n) in Arithmetic Progressions to Λ(n)/n (2017) (6)
On Bombieri's asymptotic sieve (2010) (5)
Modified truncated Perron formulae (2014) (5)
A note on additive properties of dense subsets of sifted sequences (2013) (5)
Prime numbers: emergence and victories of bilinear forms decomposition (2013) (5)
Improving on the Brun-Titchmarsh theorem (2008) (5)
Tauberian Oscillation Theorems and the Distribution of Goldbach numbers (2016) (4)
An explicit seven cube theorem (2005) (4)
Discrepancy estimates for some linear generalized monomials (2016) (4)
Chowla’s Conjecture: From the Liouville Function to the Moebius Function (2018) (4)
Errata to "Average orders of multiplicative arithmetical functions of integer matrices" (Acta Arith. 66 (1994), 45-62) (1998) (3)
On long κ‐tuples with few prime factors (2012) (3)
Explicit average orders: news and problems (2019) (2)
Monochromatic sums of squares (2018) (2)
A purely analytical lower bound for $L(1, \chi)$ (2009) (2)
Modified truncated Perron formulae@@@Formules de Perron tronquées modifiées (2016) (2)
Product of primes in arithmetic progressions (2020) (2)
Variant of the truncated Perron formula and primes in polynomial sets (2019) (1)
Eigenvalues in the large sieve inequality, II (2010) (1)
On the Missing Log Factor (2018) (1)
Tail Of A Moebius Sum With Coprimality Conditions (2018) (1)
A Turán–Kubilius Inequality for Integer Matrices☆ (1998) (1)
Quantitative steps in the Axer–Landau equivalence theorem (2019) (1)
Comparing $L(s, \chi)$ with its truncated Euler product and generalization (2010) (1)
Further arithmetical applications (2009) (0)
An explicit upper bound for $L(1, \chi)$ when $\chi$ is quadratic (2023) (0)
An extension of the classical arithmetical theory of the large sieve (2009) (0)
On a large sieve equality (2009) (0)
First lecture : initiation to Brun pure sieve (2010) (0)
Fourier expansion of sieve weights (2009) (0)
Selecting other sets of moduli (2009) (0)
Quotient and product sets of thin subsets of the positive integers (2017) (0)
Approximating by a local model (2009) (0)
Primes in Arithmetic Progressions Author ( s ) : (1996) (0)
Excursions in Multiplicative Number Theory (2022) (0)
A higher order Levin–Faĭnleĭb theorem (2022) (0)
Should Diamond OA be viewed as a threat to librarians (2017) (0)
Some general remarks on arithmetical functions (2009) (0)
Eigenvalues in the large sieve inequality , II par (2010) (0)
Twin primes and local models (2009) (0)
A first use of local models (2009) (0)
On the Moebius Trigonometric Polynomial (2014) (0)
A Remark on The Geometry of Spaces of Functions with Prime Frequencies (2014) (0)
On the behaviour of $\gamma\Log p$ modulo 1 (2012) (0)
Some news on bilinear decomposition of the M??bius function (2014) (0)
Discrepancy estimates for generalized polynomials (2018) (0)
Discrepancy estimates for generalized polynomials (2017) (0)
The Siegel zero effect (2009) (0)
The large sieve inequality (2009) (0)
Fast and precise computation of some Euler products (2020) (0)
The Selberg sieve for sequences (2009) (0)
The Selberg sieve (2009) (0)
Small gaps between primes (2009) (0)
Additive energy of dense sets of primes and monochromatic sums (2013) (0)
Monochromatic sums of squares (2017) (0)
The three primes theorem (2009) (0)
Modular Ternary Additive Problems with Irregular or Prime Numbers (2021) (0)
Inequality for Integer Matrices (1998) (0)
Some weighted sequences (2009) (0)
Sums of two squarefree numbers (2009) (0)
A weighted hermitian inequality (2009) (0)
A Remark on The Geometry of Spaces of Functions with Prime Frequencies (2014) (0)
The number of rationals determined by large sets of sifted integers (2022) (0)

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Other Resources About Olivier Ramaré

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What Schools Are Affiliated With Olivier Ramaré?

Olivier Ramaré is affiliated with the following schools:

Aix-Marseille University