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

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Atıf İçin Kopyala

Bugeaud Y., Kekeç G.

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

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 28
• Basım Tarihi: 2020
• Doi Numarası: 10.2478/auom-2020-0005
• Dergi Adı: ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH, Directory of Open Access Journals
• Sayfa Sayıları: ss.81-94
• İstanbul Üniversitesi Adresli: Evet

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.