Life and Mathematics of Alfred Jacobus van der Poorten (1942–2010)
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Publication:2840790
DOI10.1007/978-1-4614-6642-0_1zbMath1275.01012OpenAlexW179474311MaRDI QIDQ2840790
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Publication date: 23 July 2013
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-1-4614-6642-0_1
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Cites Work
- Symmetry and folding of continued fractions
- A simple observation on simple zeros
- Dyson's lemma without tears
- Characterization of a generalized Shanks sequence
- A curious cubic identity and self-similar sums of squares
- Sequences of Jacobian varieties with torsion divisors of quadratic order
- Multi-dimensional generalizations of the Padé table
- Folds!
- Folds! II: Symmetry disturbed
- Folds! III: More morphisms
- Folded continued fractions
- The Eisenstein constant
- On common zeros of exponential polynomials
- Arithmetic properties of certain functions in several variables
- On algebraic functions satisfying a class of functional equations
- On the number of zeros of functions
- A class of hypertranscendental functions
- A proof that Euler missed. Apéry's proof of the irrationality of \(\zeta(3)\). An informal report
- Some infinite products with interesting continued fraction expansions
- Classical diophantine equations
- Corrections to ``The Eisenstein constant
- A note on Hadamard roots of rational functions
- Zero testing of \(p\)-adic and modular polynomials
- From geometry to Euler identities
- Quasi-elliptic integrals and periodic continued fractions
- Ideal constructions and irrationality measures of roots of algebraic numbers.
- On the complexity of algebraic numbers
- Mahler functions and transcendence
- Algorithmic number theory. 8th international symposium, ANTS-VIII Banff, Canada, May 17--22, 2008 Proceedings
- Specialisation and reduction of continued fractions of formal power series
- Computer verification of the Ankeny--Artin--Chowla Conjecture for all primes less than $100000000000$
- A Note on Jacobi Symbols and Continued Fractions
- Non-periodic continued fractions in hyperelliptic function fields
- A Full Characterisation of Divisibility Sequences
- Fractions of the period of the continued fraction expansion of quadratic integers
- Indépendance algébrique de certaines séries formelles
- Some explicit continued fraction expansions
- p-adic methods in the study of Taylor coefficients of rational functions
- Integers With Digits 0 or 1
- Automata and the arithmetic of formal power series
- Zeros of p -Adic Exponential Polynomials II
- An awful problem about integers in base four
- Arithmetic and analytic properties of paper folding sequences
- Bounds for solutions of systems of linear equations
- Elliptic Curves of Conductor 11
- Multiplicative dependence in number fields
- Substitution automata, functional equations and “functions algebraic over a finite field”
- An infinite product with bounded partial quotients
- On the number of zeros of exponential polynomials and related questions
- Closed Subgroups of Products of Reals
- Effectively computable bounds for the solutions of certain diophantine equations
- Computing the effectively computable bound in Baker's inequality for linear forms in logarithms
- Multiplicative relations in number fields
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- Arithmetic properties of certain functions in several variables III
- On Baker's inequality for linear forms in logarithms
- On the growth of recurrence sequences
- Some remarks on Fermat's conjecture
- P-adic logarithmic forms and group varieties I
- On certain continued fraction expansions of fixed period length
- p-adic logarithmic forms and group varieties II
- A Specialised Continued Fraction
- Factorisation in the ring of exponential polynomials
- Life on the Edge
- A Note on NUCOMP
- Squares from Products of Consecutive Integers
- Continued Fractions, Jacobi Symbols, and Quadratic Diophantine Equations
- La fonction zêta de Riemann prend une infinité de valeurs irrationnelles aux entiers impairs
- One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational
- Irrationality of values of the Riemann zeta function
- Remarks on generalised power sums
- A Powerful Determinant
- A note on simultaneous polynomial approximation of exponential functions
- Factorisation in fractional powers
- A note on symmetry and ambiguity
- Some Problems Concerning Recurrence Sequences
- Convergents of folded continued fractions
- On linear recurrence sequences with polynomial coefficients
- Determinants in the Study of Thue's Method and Curves with Prescribed Singularities
- Zeros of recurrence sequences
- On the independence of expansions of algebraic numbers in an integer base
- Hyperelliptic curves, continued fractions, and Somos sequences
- P-adic logarithmic forms and group varieties III
- Pseudo-elliptic integrals, units, and torsion
- RECURRENCE RELATIONS FOR ELLIPTIC SEQUENCES: EVERY SOMOS 4 IS A SOMOS LOWERCASE $k$
- A note on the independence of the axioms for a vector space
- Transcendental entire functions mapping every algebraic number field into itself
- On the base-dependence of sets of numbers recognizable by finite automata
- On a sequence of prime numbers
- Generalisations of Turán's main theorems on lower bounds for sums of powers
- A generalisation of Turán's main theorems to binomials and logarithms
- On the Arithmetic Nature of Definite Integrals of Rational Functions
- On a theorem of S. Dancs and P. Turán
- Perfect approximation of functions
- Uniform tag sequences
- Generalizing Turán's main theorems on lower bounds for sums of powers
- A diophantine problem in harmonic analysis
- Algorithmic Number Theory
- The first case of Fermat's last theorem
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