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      <div class="TdmEntry">Overall Objectives<ul><li><a href="./uid3.html">Scientific challenges, expected impact</a></li><li><a href="./uid16.html">Research axes</a></li></ul></div>
      <div class="TdmEntry">Research Program<ul><li><a href="uid29.html&#10;&#9;&#9;  ">Studying special functions by computer algebra</a></li><li><a href="uid45.html&#10;&#9;&#9;  ">Trusted computer-algebra calculations</a></li><li><a href="uid56.html&#10;&#9;&#9;  ">Machine-checked proofs of formalized mathematics</a></li></ul></div>
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      <div class="TdmEntry">New Results<ul><li><a href="uid92.html&#10;&#9;&#9;  ">Becker's conjecture on Mahler functions</a></li><li><a href="uid93.html&#10;&#9;&#9;  ">Fast coefficient computation for algebraic
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<m:math xmlns:m="http://www.w3.org/1998/Math/MathML" overflow="scroll"><msup xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mo>(</mo><mi>x</mi><mo>-</mo><mi>β</mi><mo>)</mo></mrow><mi>n</mi></msup></m:math>, Jacobi polynomials and complexity</a></li><li><a href="uid95.html&#10;&#9;&#9;  ">Least common multiple of random integers</a></li><li><a href="uid96.html&#10;&#9;&#9;  ">On sequences associated to the invariant theory of rank two simple Lie algebras</a></li><li><a href="uid97.html&#10;&#9;&#9;  ">Explicit degree bounds for right factors of linear differential operators</a></li><li><a href="uid98.html&#10;&#9;&#9;  ">Improved algorithms for left factorial
residues</a></li><li><a href="uid99.html&#10;&#9;&#9;  ">A note on gamma triangles and local gamma
vectors</a></li><li><a href="uid100.html&#10;&#9;&#9;  ">A closed-form formula for the Kullback-Leibler divergence between Cauchy distributions</a></li><li><a href="uid101.html&#10;&#9;&#9;  ">Big prime field FFT on multi-core processors</a></li><li><a href="uid102.html&#10;&#9;&#9;  ">Martin boundary of killed random walks on isoradial graphs</a></li><li><a href="uid103.html&#10;&#9;&#9;  ">Random walks in orthants and lattice path combinatorics</a></li><li><a href="uid104.html&#10;&#9;&#9;  ">Quasilinear Average Complexity for Solving Polynomial Systems</a></li><li><a href="uid105.html&#10;&#9;&#9;  ">Computing the Volume of Compact Semi-Algebraic Sets</a></li><li><a href="uid106.html&#10;&#9;&#9;  ">Densities of Stieltjes moment sequences
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	    Raweb 
	    2019</a> | <a href="http://www.inria.fr/en/teams/specfun">Presentation of the Project-Team SPECFUN</a> | <a href="https://specfun.inria.fr/">SPECFUN Web Site
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        <div class="Titrepage1">2019 Project-Team Activity Report
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          <div class="ProjetCourtpage1">SPECFUN</div>
          <div class="ProjetLongpage1">Symbolic Special Functions : Fast and Certified<div class="DescriptionTeam"/></div>
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          <span class="definition">Research centre: </span>
          <a href="http://www.inria.fr/centre/saclay">Saclay - Île-de-France</a>
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        <div class="domainepage1"><span class="definition">Field: </span><a href="&#10;&#9;      http://www.inria.fr/en/domains/Algorithmics-Programming-Software-and-Architecture">Algorithmics, Programming, Software and Architecture</a><br/><span class="definition">Theme: </span>Algorithmics, Computer Algebra and Cryptology</div>
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          <span class="definition">Keywords: </span>
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            <a href="/keywords/2019/computing">Computer Science and Digital Science: </a>
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          <ul>
            <li>A2.1.11. - Proof languages</li>
            <li>A2.4.3. - Proofs</li>
            <li>A4.5. - Formal methods for security</li>
            <li>A7.2. - Logic in Computer Science</li>
            <li>A8.1. - Discrete mathematics, combinatorics</li>
            <li>A8.3. - Geometry, Topology</li>
            <li>A8.4. - Computer Algebra</li>
            <li>A8.5. - Number theory</li>
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            <a href="/keywords/2019/other">Other Research Topics and Application Domains: </a>
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            <li>B9.5.2. - Mathematics</li>
            <li>B9.5.3. - Physics</li>
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