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researcher

M. Planat

84 papers hereh-index 221.7k citations194 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author24
  • first author30
  • middle author14
  • last author14

Across the 82 of 84 papers where every author was matched, so the position is known.

fields
  • quant-ph45
  • math-ph18
  • math.NT7
  • math.AG3
  • hep-th2
  • math.GT2
same name
  • M. Planat — 2 papers, h 6
  • M. Planat — 1 paper, h 1

Either other researchers who publish under this name, or the same person where the external sources have not merged their records.

identity via Semantic Scholar / OpenAlex

activity
20022023
most citedMutually Unbiased Bases and Finite Projective Planes

84 citations · 970 across the 84 of their papers we have counts for

collaborators
Showing 2011 · math.NTShow all

2 papers · 2 filters

math.NT2011

Chebyshev's bias and generalized Riemann hypothesis

Adel Alamadhi, Michel Planat, Patrick Solé

It is well known that li(x)>π(x) (i) up to the (very large) Skewes' number x1​∼1.40×10316 \cite{Bays00}. But, according to a Littlewood's theorem, there exist in…

math.NT2011★ 1 cited

Efficient prime counting and the Chebyshev primes

Michel Planat, Patrick Solé

The function $ε(x)=\mbox{li}(x)-π(x)$ is known to be positive up to the (very large) Skewes' number. Besides, according to Robin's work, the functions $ε_θ(x)=\mbox{li}[θ(x)]-π(x)$…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.