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  <a href="search/?q=an%3A1201.11012">Zbl 1201.11012</a><br />                    <a class="meta bold" href="search/?q=ai:petho.attila">Pethö, Attila</a>            </div>
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  <strong>Fifteen problems in number theory.<span class="normal"> (English)</span></strong>
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            <a href="journals/?q=an:00006718">Acta Univ. Sapientiae, Math.</a>
             2, No. 1, 72-83 (2010).
                              </div>


  <div class="review">
    The author presents problems in number theory dealing with perfect powers in linear recursive sequences, solutions of parametrized families of Thue equations, patterns in the set of solutions of norm form equations and generalized radix representations.
      <div class="right">Reviewer: <a class="meta" href="search/?q=rv:Florin%20Nicolae">Florin Nicolae (Berlin)</a></div>
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    <strong>MSC 2010</strong>
    <dl class="msc">
      <dt><a class="meta" href="search/?q=cc:11A63">11A63</a></dt>
      <dd>Radix representation; digital problems</dd>
    </dl>
    <dl class="msc">
      <dt><a class="meta" href="search/?q=cc:11B25">11B25</a></dt>
      <dd>Arithmetic progressions</dd>
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      <dt><a class="meta" href="search/?q=cc:11B37">11B37</a></dt>
      <dd>Recurrences</dd>
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    <dl class="msc">
      <dt><a class="meta" href="search/?q=cc:11C08">11C08</a></dt>
      <dd>Polynomials (number theory)</dd>
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    <dl class="msc">
      <dt><a class="meta" href="search/?q=cc:11D57">11D57</a></dt>
      <dd>Multiplicative and norm form diophantine equations</dd>
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      <strong>Keywords</strong>
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      <a class="meta" href="search/?q=ut:%22linear%20recursive%20sequences%22">linear recursive sequences</a>;      <a class="meta" href="search/?q=ut:%22Thue%20equations%22">Thue equations</a>;      <a class="meta" href="search/?q=ut:%22norm%20form%20equations%22">norm form equations</a>;      <a class="meta" href="search/?q=ut:%22radix%20representations%22">radix representations</a>    </div>
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