Sommaire du Fascicule no. 1

Correction to “On complementary automorphic forms and supplementary Fourier series”

Knopp, Marvin Isadore ; Lehner, Joseph

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On the mean values of certain trigonometrical polynomials II

Littlewood, J. E.

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p. 1-39

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The linear $p$-adic recurrence of order two

Ward, Morgan

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p. 40-52

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On two theorems of P. Erdös and A. Rényi

Schoenberg, I. J.

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p. 53-58

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Congruences for the partition function to composite moduli

Newman, Morris

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p. 59-63

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Approximate formulas for some functions of prime numbers

Rosser, J. Barkley ; Schoenfeld, Lowell

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p. 64-94

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On Lindelöf's conjecture concerning the Riemann zeta-function

Turán, P.

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p. 95-97

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On complementary automorphic forms and supplementary Fourier series

Knopp, Marvin Isadore ; Lehner, Joseph

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p. 98-106

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A family of difference sets

Whiteman, Albert Leon

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p. 107-121

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On a theorem of Rademacher-Turán

Erdös, P.

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p. 122-127

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Another proof that bounded modular functions are constants

Estermann, T.

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p. 128-130

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An inequality suggested by the theory of statistical inference

Mann, Henry B.

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p. 131-136

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On the number of integers $\leqq x$ whose prime factors divide $n$

De Bruijn, N. G.

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p. 137-141

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waring's problem for algebraic number fields and primes of the form $(p^{r} - 1)/(p^{r} - 1)$

Bateman, Paul T. ; Stemmler, Rosemarie M.

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p. 142-156

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The initial value problem for Maxwell's equations for two media separated by a plane

John, Fritz

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p. 157-172

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Two theorems on automorphic functions

Lehner, Joseph

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p. 173-176

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The sign of the Gaussian sum

Mordell, L. J.

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p. 177-180

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On positive harmonic polynomials

Szegö, Gabor

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p. 181-186

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Imaginary quadratic fields with unique factorization

Bateman, Paul T. ; Grosswald, Emil

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p. 187-192

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A decomposition theorem for supermartingales

Meyer, P. A.

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p. 193-205

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Periodic homeomorphisms of the 3-sphere

Moise, Edwin

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p. 206-225

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Rises and upcrossings of nonnegative martingales

Dubins, Lester E.

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p. 226-241

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The radius of univalence of certain entire functions

Wilf, Herbert S.

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p. 242-244

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Symmetric homology spheres

Mazur, Barry

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p. 245-250

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Diophantine problems involving powers modulo one

Posner, Edward C.

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p. 251-263

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Differential forms and Lie algebra cohomology for algebraic linear groups

Hochschild, G. ; Kostant, B.

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p. 264-281

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Existence of normal complements and extension of characters in finite groups

Sah, Chih-Han

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p. 282-291

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Conformal transformations of compact Riemannian manifolds

Obata, Morio

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p. 292-295

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Convergence of quantifiers and martingales

Wright, Fred B.

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p. 296-307

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The dimension of the set of zeros and the graph of a symmetric stable process

Blumenthal, R. M. ; Getoor, R. K.

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p. 308-316

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On universal transformation groups

Chu, Hsin

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p. 317-326

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Point realizations of transformation groups

Mackey, George W.

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p. 327-335

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On the homotopy-commutativity of suspensions

Berstein, I. ; Ganea, T.

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p. 336-340

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On a class of doubly transitive permutation groups

Ito, Noboru

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p. 341-352

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Uniqueness of invariant Wedderburn factors

Taft, E. J.

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p. 353-356

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Feller and Martin boundaries for countable sets

Feldman, Jacob

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p. 357-366

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Cohomology of Lie groups

Hochschild, G. ; Mostow, G. D.

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p. 367-401

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Markov processes with identical hitting distributions

Blumenthal, R. M. ; Getoor, R. K. ; McKean, H. P.

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p. 402-420

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Some remarks on Černikov $P$-groups

Blackburn, Norman

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p. 421-433

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Flag-transitive collineation groups of finite projective spaces

Higman, D. G.

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p. 434-446

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Representation of invariant measures

Farrell, R. H.

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p. 447-467

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On a theorem of Chern

Griffiths, Phillip A.

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p. 468-479

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The structure of some subgroups of the modular group

Newman, Morris

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p. 480-487

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On connected normed algebras whose norms satisfy a reality condition

Aurora, Silvio

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p. 488-499

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Mathematical characterization of the physical vacuum for a linear Bose-Einstein field

Segal, I. E.

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p. 500-523

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On the decomposition theory for Krull valuations

Ribenboim, P.

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p. 524-532

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Algebraic homotopy groups and Frobenius algebras

Eckmann, B. ; Klmlsli, H.

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p. 533-552

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On finite groups with dihedral Sylow 2-subgroups

Gorenstein, Daniel ; Walter, John H.

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p. 553-593

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The analogue of the Pisot-Vijayaraghavan numbers in fields of formal power series

Bateman, Paul T. ; Duquette, Alfred L.

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p. 594-606

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The modular representation algebra of a finite group

Green, J. A.

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p. 607-619

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Asymptotic behavior of successive coefficients of some power series

Garsia, A. M. ; Orey, S. ; Rodemich, E.

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p. 620-629

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A note on the groups of order thirty-two

Sophie, Sister Madeleine

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p. 630-633

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Some differential-geometric aspects of the Lagrange variational problem

Hermann, Robert

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p. 634-673

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A representation theorem for transformations of rings of continuous functions

Kohls, Carl W.

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p. 674-681

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Locally free modules and a problem of Whitehead

Chase, Stephen U.

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p. 682-699

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An extension of rauch's metric comparison theorem and some applications

Berger, M.

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p. 700-712

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