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The following pages link to Number theory IV: Transcendental numbers. Edited by A. N. Parshin, I. R. Shafarevich and R. V. Gamkrelidze. Transl. from the Russian by Neal Koblitz (Q1370789):
Displaying 43 items.
- Explicit irrationality measures for continued fractions (Q423621) (← links)
- Sharpening of theorems of Vahlen and Hurwitz and approximation properties of the Golden ratio (Q494602) (← links)
- Arithmetic of linear forms involving odd zeta values (Q558197) (← links)
- 3 in 1: a simple way to prove that \(e^r\), \(\mathrm{ln}(r)\) and \(\pi^2\) are irrational (Q670728) (← links)
- Quantitative generalizations of Nesterenkos's linear independence criterion (Q888181) (← links)
- Auxiliary functions in transcendental number theory (Q969418) (← links)
- Transcendence measures for continued fractions involving repetitive or symmetric patterns (Q983894) (← links)
- Auxiliary functions and analytical functionals. I (Q1177194) (← links)
- Algebraic values of analytic functions. (Q1414355) (← links)
- Measures of linear independence for values of entire transcendental solutions of certain functional equations. II (Q1429134) (← links)
- Hermite-Thue equation: Padé approximations and Siegel's lemma (Q1651987) (← links)
- Topical problems of the theory of transcendental numbers: development of approaches to their solution in the works of Yu. V. Nesterenko (Q1678774) (← links)
- A lower bound of the dimension of the vector space spanned by the special values of certain functions (Q1708158) (← links)
- On Mahler's transcendence measure for \(e\) (Q1731917) (← links)
- Transcendental numbers. With a foreword by W. Dale Brownawell. Transl. from the Russian by Neal Koblitz (Q1801217) (← links)
- Linear independence of values of \(G\)-functions. II: Outside the disk of convergence (Q2022906) (← links)
- Transcendence of infinite series over lattices (Q2054714) (← links)
- Padé approximation for a class of hypergeometric functions and parametric geometry of numbers (Q2109421) (← links)
- Linear independence of values of \(G\)-functions (Q2178259) (← links)
- On irrationality exponents of generalized continued fractions (Q2257312) (← links)
- On the irrationality of factorial series. II (Q2268797) (← links)
- Mahler and transcendence: effective constructions in transcendental number theory (Q2279221) (← links)
- Product formula, global relations, and polyadic numbers (Q2334636) (← links)
- Nesterenko's linear independence criterion for vectors (Q2354037) (← links)
- Linear independence of values of a certain generalisation of the exponential function -- a new proof of a theorem of Carlson (Q2388630) (← links)
- A new elementary proof for the irrationality of \(\pi\) (Q2500798) (← links)
- The stationary phase method for real analytic geometry (Q2634174) (← links)
- Rational approximations to \(\root 3\of 2\) and other algebraic numbers revisited (Q2642768) (← links)
- Irrationality of values of L‐functions of Dirichlet characters (Q3296758) (← links)
- Les nombres transcendants (Q3340933) (← links)
- Elliptic Functions and Transcendence (Q3401686) (← links)
- Formes linéaires de logarithmes effectives sur les variétés abéliennes (Q3428588) (← links)
- TRANSCENDENTAL SUMS RELATED TO THE ZEROS OF ZETA FUNCTIONS (Q4555396) (← links)
- SHIDLOVSKY’S MULTIPLICITY ESTIMATE AND IRRATIONALITY OF ZETA VALUES (Q4691317) (← links)
- Diophantine approximation (Q5022293) (← links)
- (Q5155446) (← links)
- Hodge decomposition for Cousin groups and for Oeljeklaus-Toma manifolds (Q5161589) (← links)
- Transcendental and algebraic numbers (Q5814003) (← links)
- Introduction to algebraic independence theory. With contributions from F. Amoroso, D. Bertrand, W. D. Brownawell, G. Diaz, M. Laurent, Yu. V. Nesterenko, K. Nishioka, P. Philippon, G. Rémond, D. Roy, M. Waldschmidt (Q5926460) (← links)
- A new proof of Nishioka's theorem in Mahler's method (Q6049256) (← links)
- Values of \(E\)-functions are not Liouville numbers (Q6122615) (← links)
- On a theorem of Borel on Diophantine approximation (Q6624953) (← links)
- Galois's theory of ambiguity and its impacts (Q6657945) (← links)
