Studies in Pure Mathematics: To the Memory of Paul Turán

Front Matter....Pages 1-12
Letter to Professor Paul Turán....Pages 13-16
An extremal problem in combinatorial number theory....Pages 17-20
Every group admits a bad topology....Pages 21-34
Sur certains changements de variable des séries de puissances....Pages 35-42
The spherical derivative of meromorphic functions with relatively few poles....Pages 43-53
A generalization of ultraspherical polynomials....Pages 55-78
A Blaschke product with a level-set of infinite length....Pages 79-81
On complete bipartite subgraphs contained in spanning tree complements....Pages 83-90
On an open problem of Paul Turán concerning 3-graphs....Pages 91-93
On the decomposition of graphs into complete bipartite subgraphs....Pages 95-101
Syntopogenous spaces and zero-set spaces....Pages 103-126
Automata on one symbol....Pages 127-134
On a problem of Lehmer....Pages 135-144
On extrermal polynomials....Pages 145-156
Subsequences of primes in residue classes to prime moduli....Pages 157-164
Some asymptotic formulas on generalized divisor functions I....Pages 165-179
On a generalization of Turán’s graph-theorem....Pages 181-185
On some problems of J. Dénes and P. Turán....Pages 187-212
On sums and products of integers....Pages 213-218
On the growth of meromorphic functions on rays....Pages 219-229
Entire functions and their derivative on an asymptotic arc....Pages 231-236
Orthogonal polynomials and rational approximation of holomorphic functions....Pages 237-243
Norm form equations and explicit lower bounds for linear forms with algebraic coefficients....Pages 245-257
On the first and second main theorem in Turán’s theory of power sums....Pages 259-269
Generalized ramsey theory VIII. The size ramsey number of small graphs....Pages 271-283
The asymptotic distribution of the order of elements in alternating semigroups and in partial transformation semigroups....Pages 285-290
On the minimum of a subharmonic function on a connected set....Pages 291-322
Benachbarte multiplikative Funktionen....Pages 323-336
Eine Bemerkung zur Theorie der Gleichverteilung....Pages 337-345
Laguerre entire functions and Turán inequalities....Pages 347-355
On Turán’s equivalent power series....Pages 357-379
The avarage order of Gaussian sums....Pages 381-384
Zeros of the zeta-function near the critical line....Pages 385-394
Séries de Fourier des fonctions bornées....Pages 395-410
Appendix to the Paper of J.-P. Kahane and Y. Katznelson....Pages 411-413
Characterization of log n ....Pages 415-421
On a problem of Turán....Pages 423-425
On the sum of powers of complex numbers....Pages 427-442
On a monotonicity property of some Hausdorff transforms of certain Fourier series....Pages 443-454
Theorem of Budan-Fourier and Birkhoff interpolation....Pages 455-457
On the number of complete subgraphs of a graph II....Pages 459-495
Zeros of approximations to the zeta function....Pages 497-506
Large sieve extensions of the Brun-Titchmarsh theorem....Pages 507-515
On a question of Alladi and Erdős on sums of squares....Pages 517-521
A quasi-Monte Carlo method for the approximate computation of the extreme values of a function....Pages 523-529
On a problem of P. Turán concerning Sylow subgroups....Pages 531-542
On polynomials with curved majorants....Pages 543-549
Oscillatory properties of the remainder term of the prime number formula....Pages 551-560
On some universal bounds for Fuchsian groups....Pages 561-575
On the variance of additive functions....Pages 577-586
Automorphism group and spectrum of a graph....Pages 587-604
The joint distribution of the digits of certain integer s -tuples....Pages 605-622
On Jacobi-Bertrand’s proof of a Theorem of Poncelet....Pages 623-627
Entire functions of bounded value distribution and gap power series....Pages 629-634
Estimates for the moduli of polynomials with algebraic coefficients at the values of E -functions....Pages 635-657
Sieve methods and Siegel’s zeros....Pages 659-668
Extremal graph problems and graph products....Pages 669-680
On the coefficients of rational functions....Pages 681-683
On strong irregularities of the distribution of { n α} sequences....Pages 685-700
On density-difference sets of sets of integers....Pages 701-710
Some notes on the power sums of complex numbers whose sum is 0....Pages 711-717
The field of definition of the Neron-Severi group....Pages 719-731
On Hadamard’s gap theorem....Pages 733-735
A remark on Freud’s tauberian theorem....Pages 737-742
Two problems of P. Turán....Pages 743-750
Un lemme de Schwarz pour des intersections d’hyperplans....Pages 751-759
On the density of some sets of primes III....Pages 761-773