Linear Independence of Logarithms of Cyclotomic Numbers and a Conjecture of Livingston
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Publication:5215643
DOI10.4153/S0008439519000468zbMath1446.11137WikidataQ122925722 ScholiaQ122925722MaRDI QIDQ5215643
Sonika Dhillon, Tapas Chatterjee
Publication date: 12 February 2020
Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)
Units and factorization (11R27) Transcendence theory of other special functions (11J91) Transcendence (general theory) (11J81) Linear forms in logarithms; Baker's method (11J86) Irrationality; linear independence over a field (11J72)
Related Items (7)
On a conjecture of Murty-Saradha about digamma values ⋮ Cyclic arcs of Singer type and strongly regular Cayley graphs over finite fields ⋮ A note on a variant of a conjecture of Rohrlich ⋮ On subset sums of \(\mathbb{Z}_n^{\times}\) which are equally distributed modulo \(n\) ⋮ Linear Independence of Logarithms of Cyclotomic Numbers and a Conjecture of Livingston ⋮ Linear independence of harmonic numbers over the field of algebraic numbers ⋮ Linear independence of harmonic numbers over the field of algebraic numbers. II
Cites Work
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- Euler-Lehmer constants and a conjecture of Erdős
- Non-vanishing of Dirichlet series with periodic coefficients
- Linear independence of harmonic numbers over the field of algebraic numbers
- The Dirichlet unit theorem, induced characters, and Whitehead groups of finite groups
- On relations between cyclotomic units
- On a Conjecture of Livingston
- Transcendental values of the p-adic digamma function
- A vanishing criterion for Dirichlet series with periodic coefficients
- Linear Independence of Logarithms of Cyclotomic Numbers and a Conjecture of Livingston
- The Series Σ∞1 f(n)/n for Periodic f
- The digamma function, Euler–Lehmer constants and their p-adic counterparts
- On the units of cyclotomic fields
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