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U. Zannier

54 papers hereh-index 364.4k citations229 works total

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

author position
  • sole author5
  • first author1
  • last author48

Across the 54 of 54 papers where every author was matched, so the position is known.

fields
  • math.NT46
  • math.AG4
  • math.CV2
  • math.GR1
  • math.GT1

identity via Semantic Scholar / OpenAlex

activity
20002026
most citedComposite lacunary polynomials and the proof of a conjecture of Schinzel

35 citations · 163 across the 46 of their papers we have counts for

collaborators
Showing 2004Show all

3 papers · 1 filter

math.NT2004★ 1 cited

On the rational approximations to the powers of an algebraic number

Pietro Corvaja, Umberto Zannier

About fifty years ago Mahler proved that if α>1 is rational but not an integer and if 0<l<1 then the fractional part of αn is >ln apart from a finite set of integers n…

math.NT2004

On the length of continued fractions for values of quotients of power sums

Pietro Corvaja, Umberto Zannier

Generalizing a result of Pourchet, we prove that, if α,β are power sums satisfying suitable conditions, the length of the continued fraction of the ratio α(n)/β(n) tends to inf…

math.NT2004

Linear equations with unknowns from a multiplicative group in a function field

Jan-Hendrik Evertse, Umberto Zannier

Let k be an algebraically closed field of characteristic 0, let K/k be a transcendental extension of arbitrary transcendence degree and let G be a multiplicative subgroup of (K^*)^…

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