Obituary of Alan Baker FRS

DOI10.4064/aa181211-14-12zbMath1417.01033OpenAlexW2949300792WikidataQ127737428 ScholiaQ127737428MaRDI QIDQ5226453

Gisbert Wüstholz

Publication date: 31 July 2019

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

Full work available at URL: https://doi.org/10.4064/aa181211-14-12

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) History of number theory (11-03)

Cites Work

• \(p\)-adic logarithmic forms and a problem of Erdős
• Algebraic independence of arithmetic gamma values and Carlitz zeta values
• Zero estimates on group varieties. II
• Transcendence and Drinfeld modules
• Zero estimates on group varieties. I
• Some historical remarks on number theory
• Analytic homomorphisms into Drinfeld modules
• The André-Oort conjecture for \(\mathcal A_g\)
• Isogeny estimates for abelian varieties, and finiteness theorems
• Determination of algebraic relations among special zeta values in positive characteristic
• On Mahler's classification of transcendental numbers
• Endomorphisms of Abelian varieties over finite fields
• On an analogue of Littlewood's diophantine approximation problem
• Imaginary quadratic fields with class number 2
• On a fundamental inequality in number theory
• Théorie de Hodge. III
• On a problem of Chowla
• Transcendental points on group varieties
• Recent Progress in Orbital-free Density Functional Theory
• Logarithmic forms and group varieties.
• Continued fractions of transcendental numbers
• Linear forms in p-adic logarithms
• A sharpening of the bounds for linear forms in logarithms III
• ON THE IMAGINARY QUADRATIC CORPORA OF CLASS-NUMBER ONE
• Uniformly counting points of bounded height
• Squaring the circle:Transcendence, Logarithmic Forms and Diophantine Analysis
• Transcendence and Linear Relations of 1-Periods
• Rational Approximations to Certain Algebraic Numbers
• P-adic logarithmic forms and group varieties III
• Power Series Representing Algebraic Functions
• On a theorem of Sprindžuk
• On Some Diophantine Inequalities Involving the Exponential Function
• On Mahler's classification of transcendental numbers. II: Simultaneous Diophantine approximation
• The Diophantine Equation y ² = ax ³ +bx ² +cx +d
• On some diophantine inequalities involving primes.
• Contributions to the theory of diophantine equations I. On the representation of integers by binary forms
• Contributions to the theory of Diophantine equations II. The Diophantine equation y ² = x ³ + k
• Linear forms in the logarithms of algebraic numbers
• Linear forms in the logarithms of algebraic numbers (IV)
• On the units of algebraic number fields
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²
• A Remark on the Class Number of Quadratic Fields
• Approximations to the logarithms of certain rational numbers
• Diophantine Approximation and Hausdorff Dimension
• An Estimate for the ℘-Function at an Algebraic Point
• On the least integers represented by the genera of binary quadratic forms
• On the class number of imaginary quadratic fields
• RATIONAL APPROXIMATIONS TO 23 AND OTHER ALGEBRAIC NUMBERS
• A sharpening of the bounds for linear forms in logarithms
• A sharpening of the bounds for linear forms in logarithms II
• On the units of an algebraic number field
• Fractional parts of powers of rationals
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