Topical problems of the theory of transcendental numbers: development of approaches to their solution in the works of Yu. V. Nesterenko

DOI10.1134/S1061920817020030zbMath1373.11002OpenAlexW2621069486WikidataQ114075051 ScholiaQ114075051MaRDI QIDQ1678774

Vladimir G. Chirskii

Publication date: 7 November 2017

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920817020030

zbMATH Keywords

Birthdaymodular functionsexponential functionsalgebraic independence

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Algebraic independence; Gel'fond's method (11J85) Transcendence theory of other special functions (11J91) History of number theory (11-03) Transcendence (general theory) (11J81)

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Cites Work

• On a sufficient criterion for algebraic independence of numbers
• Estimates of orders of zeros of functions of a certain class
• On arithmetic properties of values of theta-constants
• Grands degrés de transcendance pour des familles d'exponentielles. (Large transcendence degrees for families of exponentials)
• Number theory IV: Transcendental numbers. Edited by A. N. Parshin, I. R. Shafarevich and R. V. Gamkrelidze. Transl. from the Russian by Neal Koblitz
• Algebraic independence criteria.
• Mahler functions and transcendence
• On the algebraic independence of the values of \(E\)-functions satisfying nonhomogeneous linear differential equations
• An auxiliary result in the theory of transcendental numbers
• ESTIMATES FOR THE CHARACTERISTIC FUNCTION OF A PRIME IDEAL
• A transcendence measure for E ‐functions
• Un critère d'indépendance algébrique.
• Modular functions and transcendence questions
• Transcendence type for almost all points in real $ m$-dimensional space
• Linear forms in the logarithms of algebraic numbers
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