Contributions to the theory of transcendental numbers (I)

DOI10.4064/aa-14-1-65-72zbMath0176.33101OpenAlexW3139675891MaRDI QIDQ5566633

K. Ramachandra

Publication date: 1968

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/204849

zbMATH Keywords

number theory

Mathematics Subject Classification ID

Transcendence (general theory) (11J81)

Related Items (20)

Points whose coordinates are logarithms of algebraic numbers on algebraic varieties ⋮ Division of independent variable and transcendence ⋮ A Diophantine approach to the three and four exponentials conjectures ⋮ Indépendance algébrique des valeurs de la fonction exponentielle ⋮ On a measure of algebraic independence of modulus and values of Jacobi elliptic function ⋮ The Four Exponentials Problem and Schanuel’s Conjecture ⋮ Ranks of matrices of logarithms of algebraic numbers. I: The theorems of Baker and Waldschmidt-Masser ⋮ Algebraic values of analytic functions. ⋮ Unnamed Item ⋮ Approximation of invariants of the elliptic function ⋮ On a measure of algebraic independence of values of Jacobi elliptic functions ⋮ Automorphisms of the Ordered Multiplicative Group of Positive Rational Numbers ⋮ Approximation to the transcendental relationship of two algebraic points of the function \(\wp(z)\) with complex multiplication ⋮ Algebraic independence of values of exponential and elliptic functions ⋮ RANDOMNESS AND NON‐RANDOMNESS PROPERTIES OF PIATETSKI‐SHAPIRO SEQUENCES MODULO m ⋮ Algebraic independence of certain numbers connected with the exponential and elliptic functions ⋮ Elliptic Functions and Transcendence ⋮ Unnamed Item ⋮ On the sum \(\sum\limits_{k=1}^3 | 2^{\pi^k}-\alpha_k |, \alpha_k\) algebraic numbers ⋮ Fields of large transcendence degree generated by values of elliptic functions

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