Studies in Pure Mathematics

Table of Contents

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   Book Overview
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   Chapter 1 Letter to Professor Paul Turán
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   Chapter 2 An extremal problem in combinatorial number theory
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   Chapter 3 Every group admits a bad topology
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   Chapter 4 Sur certains changements de variable des séries de puissances
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   Chapter 5 The spherical derivative of meromorphic functions with relatively few poles
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   Chapter 6 A generalization of ultraspherical polynomials
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   Chapter 7 A Blaschke product with a level-set of infinite length
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   Chapter 8 On complete bipartite subgraphs contained in spanning tree complements
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    Chapter 9 On an open problem of Paul Turán concerning 3-graphs
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    Chapter 10 On the decomposition of graphs into complete bipartite subgraphs
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    Chapter 11 Syntopogenous spaces and zero-set spaces
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    Chapter 12 Automata on one symbol
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    Chapter 13 On a problem of Lehmer
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    Chapter 14 On extrermal polynomials
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    Chapter 15 Subsequences of primes in residue classes to prime moduli
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    Chapter 16 Some asymptotic formulas on generalized divisor functions I
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    Chapter 17 On a generalization of Turán’s graph-theorem
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    Chapter 18 On some problems of J. Dénes and P. Turán
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    Chapter 19 On sums and products of integers
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    Chapter 20 On the growth of meromorphic functions on rays
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    Chapter 21 Entire functions and their derivative on an asymptotic arc
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    Chapter 22 Orthogonal polynomials and rational approximation of holomorphic functions
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    Chapter 23 Norm form equations and explicit lower bounds for linear forms with algebraic coefficients
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    Chapter 24 On the first and second main theorem in Turán’s theory of power sums
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    Chapter 25 Generalized ramsey theory VIII. The size ramsey number of small graphs
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    Chapter 26 The asymptotic distribution of the order of elements in alternating semigroups and in partial transformation semigroups
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    Chapter 27 On the minimum of a subharmonic function on a connected set
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    Chapter 28 Benachbarte multiplikative Funktionen
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    Chapter 29 Eine Bemerkung zur Theorie der Gleichverteilung
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    Chapter 30 Laguerre entire functions and Turán inequalities
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    Chapter 31 On Turán’s equivalent power series
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    Chapter 32 The avarage order of Gaussian sums
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    Chapter 33 Zeros of the zeta-function near the critical line
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    Chapter 34 Séries de Fourier des fonctions bornées
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    Chapter 35 Appendix to the Paper of J.-P. Kahane and Y. Katznelson
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    Chapter 36 Characterization of log n
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    Chapter 37 On a problem of Turán
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    Chapter 38 On the sum of powers of complex numbers
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    Chapter 39 On a monotonicity property of some Hausdorff transforms of certain Fourier series
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    Chapter 40 Theorem of Budan-Fourier and Birkhoff interpolation
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    Chapter 41 On the number of complete subgraphs of a graph II
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    Chapter 42 Zeros of approximations to the zeta function
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    Chapter 43 Large sieve extensions of the Brun-Titchmarsh theorem
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    Chapter 44 On a question of Alladi and Erdős on sums of squares
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    Chapter 45 A quasi-Monte Carlo method for the approximate computation of the extreme values of a function
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    Chapter 46 On a problem of P. Turán concerning Sylow subgroups
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    Chapter 47 On polynomials with curved majorants
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    Chapter 48 Oscillatory properties of the remainder term of the prime number formula
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    Chapter 49 On some universal bounds for Fuchsian groups
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    Chapter 50 On the variance of additive functions
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    Chapter 51 Automorphism group and spectrum of a graph
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    Chapter 52 The joint distribution of the digits of certain integer s -tuples
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    Chapter 53 On Jacobi-Bertrand’s proof of a Theorem of Poncelet
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    Chapter 54 Entire functions of bounded value distribution and gap power series
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    Chapter 55 Estimates for the moduli of polynomials with algebraic coefficients at the values of E -functions
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    Chapter 56 Sieve methods and Siegel’s zeros
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    Chapter 57 Extremal graph problems and graph products
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    Chapter 58 On the coefficients of rational functions
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    Chapter 59 On strong irregularities of the distribution of { n α} sequences
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    Chapter 60 On density-difference sets of sets of integers
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    Chapter 61 Some notes on the power sums of complex numbers whose sum is 0
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    Chapter 62 The field of definition of the Neron-Severi group
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    Chapter 63 On Hadamard’s gap theorem
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    Chapter 64 A remark on Freud’s tauberian theorem
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    Chapter 65 Two problems of P. Turán
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    Chapter 66 Un lemme de Schwarz pour des intersections d’hyperplans
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    Chapter 67 On the density of some sets of primes III