Sommaire du Fascicule no. 1

An existence theorem for the generalized Tricomi problem

Protter, M. H.

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p. 1-7

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Rings of arithmetic functions. II: The number of solutions of quadratic congruences

Cohen, Eckford

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p. 9-28

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A boundary-value problem for analytic solutions of an ultrahyperbolic equation

Owens, O. G.

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p. 29-38

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Singular quartic forms

Lewis, D. J.

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p. 39-44

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An elementary proof of a theorem of Jacobson

Herstein, I. N.

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p. 45-48

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Another proof of the prime number theorem

Breusch, Robert

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p. 49-53

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Additive polynomials

Whaples, G.

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p. 55-65

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Fibre spaces with totally disconnected fibres

Mostert, Paul S.

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p. 67-74

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Effect of the addition of the unit set on the order of a simple monic set of polynomials

Makar, Ragy H.

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p. 75-78

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The structure of non-semisimple algebras

Curtis, Charles W.

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p. 79-85

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Non-commutative cyclic fields

Amitsur, A. S.

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p. 87-105

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Quadratic residues

Ankeny, N. C.

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p. 107-112

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A characterization of the modular group and certain similar groups

Gerstenhaber, Murray

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p. 113-121

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Representations by quadratic forms in a finite field

Carlitz, L.

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p. 123-137

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On the coefficient group in cohomology

Gordon, W. L.

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p. 139-153

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A recent note of Kolbina

Jenkins, James A.

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p. 155-162

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Local properties of topological spaces

Michael, Ernest

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p. 163-171

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Generalized Laplacians of the second kind and double trigonometric series

Shapiro, Victor L.

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p. 173-178

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Automorphs of quadratic forms

Jones, Burton W. ; Marsh, Donald

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p. 179-193

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Uniform convexity in function spaces

Halperin, Israel

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p. 195-204

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Reflexitivity in the $L^\lambda$ function spaces

Halperin, Israel

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p. 205-208

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A cohomological definition of dimension for locally compact Hausdorff spaces

Cohen, Haskell

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p. 209-224

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Orthogonal matrices of modular polynomials

Brenner, J. L.

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p. 225-231

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Inverse limit spaces

Capel, C. E.

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p. 233-245

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Generalized local class field theory. II. Existence theorem

Whaples, G.

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p. 247-255

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The solutions of the Euler-Poisson-Darboux equation for negative values of the parameter

Blum, E. K.

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p. 257-269

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The summability factors of infinite series

Pati, T.

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p. 271-283

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The sequence of sums of independent random variables

Kallianpur, G. ; Robbins, H.

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p. 285-307

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The Lebesgue constants for Euler $(E,p)$ summation of Fourier series

Livingston, Arthur E.

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p. 309-313

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Raising idempotents

Zelinsky, Daniel

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p. 315-322

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A theorem on generalized conjugate nets in projective $n$ -space

Bell, P. O.

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p. 323-327

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Covering spaces, fibre spaces, and local homeomorphisms

Browder, Felix E.

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p. 329-336

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Continuity of transformation groups in topological spaces

Robinson, J. E.

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p. 337-348

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Automorphisms generated by a class of subnormal subgroups

Haimo, Franklin

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p. 349-353

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The coefficients of meromorphic functions

Umezawa, Toshio

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p. 355-361

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Continuous collections of continuous curves

Anderson, R. D.

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p. 363-367

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Modules with a group of operators

Higman, D. G.

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p. 369-376

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Indecomposable representations at characteristic $p$

Higman, D. G.

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p. 377-381

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Power series and Peano curves

Schaeffer, A. C.

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p. 383-389

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Generalization of the reciprocity formula for Dedekind sums

Rademacher, Hans

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p. 391-397

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A note on generalized Dedekind sums

Carlitz, L.

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p. 399-403

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Some theorems on Bernoulli and Euler numbers of higher order

Carlitz, L. ; Olson, F. R.

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p. 405-421

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An algebra determined by a binary cubic form

Heerema, Nickolas

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p. 423-443

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Class number relations for quadratic forms over $GF[q,x]$

Byers, G. Cleaves

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p. 445-461

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Decompositions and quasi-compact mappings

Martin, Abram V.

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p. 463-469

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Commutative semigroups

MacKenzie, Robert E.

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p. 471-477

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A class of functions related to harmonic functions

Sheffer, I. M.

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p. 479-489

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Limit theorems for non-commutative operations. I.

Bellman, Richard

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p. 491-500

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Toeplitz matrices, translation kernels and a related problem in probability theory

Kac, M.

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p. 501-509

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Point systems for Lagrange interpolation

Armstrong, James W.

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p. 511-516

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Some characterizations of valuation rings

Aubert, Karl Egil

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p. 517-525

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Stieltjes integral representation of convex functions

Temple, W. B.

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p. 527-531

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Entire functions as limits of polynomials

Korevaar, Jacob

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p. 533-548

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A class of continued fractions associated with certain properly discontinuous groups

Rosen, David

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p. 549-563

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Maximal ideals in rings of bounded continuous functions

Goldhaber, J. K. ; Wolk, E. S.

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p. 565-569

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A note on the series $\sum a_nf(nz)$

Whittaker, J. M.

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p. 571-573

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Generalized local class field theory III. Second form of existence theorem. Structure of analytic groups.

Whaples, G.

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p. 575-581

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Generalized local class field theory IV. Cardinalities

Whaples, G.

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p. 583-586

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Riemann’s localization theorem for Fourier series

Hille, Einar ; Klein, George

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p. 587-591

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Sets of convergence of ordinary Dirichlet series

Brauer, George

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p. 593-594

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Uniform completeness of sets of reciprocals of linear functions. II

Porcelli, Pasquale

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p. 595-597

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Representatives of homotopy classes of mappings into spheres

Plunkett, Robert L.

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p. 599-605

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Prime divisors of second order recurring sequences

Ward, Morgan

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p. 607-614

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The enclosing of simple arcs and curves by polyhedra

Harrold, Jr., O. G.

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p. 615-621

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The translation pathology of Wiener space

Cameron, R. H.

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p. 623-627

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The distribution of squarefree integers in small intervals

Bellman, Richard ; Shapiro, Harold N.

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p. 629-637

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Approximations to monotone mappings on non-compact two dimensional manifolds

Hocking, John G.

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p. 639-651

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Complex biorthogonality for certain sets of polynomials

Davis, Philip ; Pollak, Henry

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p. 653-667

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Congruences for the solutions of certain difference equations of the second order

Carlitz, L.

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p. 669-679

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Maximal ideals in compact semigroups

Koch, R. J. ; Wallace, A. D.

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p. 681-685

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