On Mahler's p-adic S-, T-, and U-numbers


Bugeaud Y., KEKEÇ G.

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, cilt.28, ss.81-94, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 28 Konu: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.2478/auom-2020-0005
  • Dergi Adı: ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
  • Sayfa Sayıları: ss.81-94

Özet

We consider some lacunary power series with rational coefficients in Q(p). We show that under certain conditions these series take transcendental values at non-zero rational number arguments, and we determine the classes of these transcendental values with respect to Mahler's classification of p-adic numbers.