On a problem of Chowla

DOI10.1016/0022-314X(73)90048-6zbMath0267.10065WikidataQ104097406 ScholiaQ104097406MaRDI QIDQ2562892

Eduard Wirsing, B. J. Birch, Alan Baker

Publication date: 1973

Published in: Journal of Number Theory (Search for Journal in Brave)

Mathematics Subject Classification ID

Transcendence (general theory) (11J81) Algebraic number theory: global fields (11R99) Hurwitz and Lerch zeta functions (11M35) Zeta and (L)-functions: analytic theory (11M99)

Related Items

The Okada space and vanishing of \(L(1,f)\), Linear and algebraic independence of generalized Euler-briggs constants, Character coordinates and annihilators of cyclotomic numbers, Chowla’s theorem over function fields, On special values of Dirichlet series with periodic coefficients, On a conjecture of Murty-Saradha about digamma values, The mathematical work of Eduard Wirsing, DETERMINANT EXPRESSION FOR THE CLASS NUMBER OF AN ABELIAN NUMBER FIELD, Transcendence of multi-indexed infinite series, A short note on generalized Euler–Briggs constants, ON A QUESTION OF ALAN BAKER OVER ARBITRARY NUMBER FIELDS, LARGE BIAS FOR INTEGERS WITH PRIME FACTORS IN ARITHMETIC PROGRESSIONS, Letter to the editor, A vanishing criterion for Dirichlet series with periodic coefficients, Transcendental numbers and special values of Dirichlet series, Transcendental values of the incomplete gamma function and related questions, On a conjecture of Erdős, A problem of Chowla revisited, Euler-Lehmer constants and a conjecture of Erdős, Transcendental infinite sums, Transcendental values of the digamma function, Non-vanishing of Dirichlet series with periodic coefficients, SPECIAL VALUES OF THE POLYGAMMA FUNCTIONS, On the non-vanishing of certain Dirichlet series, Distribution and non-vanishing of special values of L-series attached to Erdős functions, Obituary of Alan Baker FRS, Linear independence of digamma function and a variant of a conjecture of Rohrlich, OKADA'S THEOREM AND MULTIPLE DIRICHLET SERIES, On $p$-adic Euler constants, On linear independence of Dirichlet \(L\) values, On an extension of a question of Baker

Cites Work

• The nonexistence of nontrivial linear relations between the roots of a certain irreducible equation
• Linear forms in the logarithms of algebraic numbers (II)
• Linear forms in the logarithms of algebraic numbers (III)