bwmeta1.element.bwnjournal-journal-aa, Tome 64 (1993)

Sommaire

Fourier coefficients of real analytic cusp forms of arbitrary real weight

Roland Matthes

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p. 1-14

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Professor K. G. Ramanathan (1920-1992)

S. Raghavan

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p. 1-6

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Nets obtained from rational functions over finite fields

Gerhard Larcher

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p. 1-13

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The abc-inequality and the generalized Fermat equation in function fields

Julia Mueller

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p. 7-18

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Generalization of a problem of Diophantus

Andrej Dujella

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p. 15-27

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On a conjecture of A. Schinzel and H. Zassenhaus

Artūras Dubickas

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p. 15-20

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A note on the diophantine equation

(x^{m} - 1) / (x - 1) = y^{n}

Maohua Le

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p. 19-28

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Valeur moyenne des fonctions de Piltz sur les entiers sans grand facteur premier

Hikma Smida

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p. 21-50

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The asymptotic distribution of the number of summands in unrestricted Λ-partitions

D. V. Lee

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p. 29-43

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On the diophantine equation

D ₁ x ² + D ₂ = 2^{n + 2}

Maohua Le

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p. 29-41

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Une nouvelle minoration de |logα - β|, |α - expβ|, α et β algébriques

Guy Diaz

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p. 43-57

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An application of the Hooley-Huxley contour

R. Balasubramanian ; A. Ivić ; K. Ramachandra

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p. 45-51

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Simultaneous diophantine approximation with square-free numbers

R. C. Baker ; J. Brüder ; G. Harman

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p. 51-60

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The Rosser-Iwaniec sieve in number fields, with an application

M. D. Coleman

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p. 53-83

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On numbers with a unique representation by a binary quadratic form

Mariusz Skałba

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p. 59-68

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Metric properties of generalized Cantor products

Y. Lacroix

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p. 61-77

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Elliptic units of cyclic unramified extensions of complex quadratic fields

Farshid Hajir

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p. 69-85

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Dedekind sums and continued fractions

R. R. Hall ; M. N. Huxley

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p. 79-90

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Completely q-multiplicative functions: the Mellin transform approach

Peter J. Grabner

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p. 85-96

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Some remarks on the S-unit equation in function fields

Umberto Zannier

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p. 87-98

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Primitive minima of positive definite quadratic forms

Aloys Krieg

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p. 91-96

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On the Poincaré series for diagonal forms over algebraic number fields

Jun Wang

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p. 97-101

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Nombres 𝓑-libres dans les petits intervalles

J. Wu

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p. 97-116

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Corrigendum to the paper "On the 2-primary part of a conjecture of Birch and Tate" (Acta Arith. 43 (1983), 69-81)

Jerzy Urbanowicz

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p. 99

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Modular forms of weight 1/2 over class number 1 imaginary quadratic number fields

David Gove

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p. 101-123

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Discrépance et diaphonie en dimension un

Henri Chaix ; Henri Faure

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p. 103-141

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Proof of a conjecture of Selmer

Jukka Pihko

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p. 117-135

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A simple characterization of principal ideal domains

Clifford S. Queen

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p. 125-128

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The number of squarefull numbers in an interval

Hong-Quan Liu

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p. 129-149

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Power moments of the error term in the approximate functional equation for ζ²(s)

Aleksandar Ivić

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p. 137-145

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Dérivées et différences divisées à valeurs entières

Jean-Luc Chabert

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p. 143-156

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A reduction technique in Waring's problem, I

Kent D. Boklan

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p. 147-161

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Functions without residue and a bilinear differential equation

Eduard Wirsing

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p. 151-174

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Arithmetic of half integral weight theta-series

Myung-Hwan Kim

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p. 157-181

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The application of a new mean value theorem to the fractional parts of polynomials

Trevor D. Wooley

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p. 163-179

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Propriétés arithmétiques d'une série liée aux fonctions thêta

Daniel Duverney

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p. 175-188

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Sums of distinct residues mod p

Öystein J. Rödseth

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p. 181-184

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On the zeros of ζ'(s)-a

R. Balasubramanian ; K. Ramachandra

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p. 183-191

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On the l-divisibility of the relative class number of certain cyclic number fields

Girstmair, Kurt

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p. 184-204

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Kloosterman-type sums and the discrepancy of nonoverlapping pairs of inversive congruential pseudorandom numbers

Jürgen Eichenauer-Herrmann ; Harald Niederreiter

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p. 185-194

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On the l-divisibility of the relative class number of certain cyclic number fields

Kurt Girstmair

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p. 189-204

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A comparison of dispersion and Markov constants

Amitabha Tripathi

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p. 193-203

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Editor's note

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p. 195

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The Pólya-Vinogradov inequality for totally real algebraic number fields

Peter Söhne

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p. 197-212

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An improved estimate concerning 3n+1 predecessor sets

Günther Wirsching

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p. 205-210

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Digital sum moments and substitutions

Jean Marie Dumont ; Alain Thomas

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p. 205-225

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On representing the multiple of a number by a quadratic form

Todd Cochrane

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p. 211-222

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Squares in products from a block of consecutive integers

R. Balasubramanian ; T. N. Shorey

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p. 213-220

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Values of linear recurring sequences of vectors over finite fields

Gary L. Mullen ; Igor Shparlinski

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p. 221-226

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Integral spinor norms in dyadic local fields II

Fei Xu

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p. 223-232

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Cyclotomic polynomials with large coefficients

Helmut Maier

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p. 227-235

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Sommes de cubes dans l’anneau

_{2^{h}} [X]

Mireille Car ; Jorgen Cherly

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p. 227-241

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The Eichler Commutation Relation for theta series with spherical harmonics

Lynne H. Walling

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p. 233-254

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Zur Anzahl unitärer Faktoren abelscher Gruppen

Peter Georg Schmidt

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p. 237-248

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On the non-triviality of the basic Iwasawa λ-invariant for an infinitude of imaginary quadratic fields

Jonathan W. Sands

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p. 243-248

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Short interval results for k-free values of irreducible polynomials

Michael Filaseta

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p. 249-270

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On extensions of 1 chains

Erik Dofs

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p. 249-258

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The √p Riemann surface

Mark Sheingorn

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p. 255-266

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Solving a linear equation in a set of integers I

Imre Z. Ruzsa

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p. 259-282

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Generalization of a result of Shankar Sen: Integral representations associated with local field extensions

François Destrempes

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p. 267-286

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Explicit solution of a class of quartic Thue equations

Nikos Tzanakis

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p. 271-283

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La ramification des extensions galoisiennes est déterminée par les discriminants de certaines sous-extensions

François Laubie

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p. 283-291

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On the number of abelian groups of a given order (supplement)

Hong-Quan Liu

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p. 285-296

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Entiers sans grand ni petit facteur premier II

Eric Saias

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p. 287-312

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Martin Eichler (1912-1992)

Martin Kneser

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p. 293-296

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Liste der Publikationen von Martin Eichler

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p. 297-300

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Mordell-Weil rank of the jacobians of the curves defined by

y^{p} = f (x)

Naoki Murabayashi

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p. 297-302

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The greatest prime factor of the integers in an interval

Hong-Quan Liu

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p. 301-328

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Quadratic field extensions and residue homomorphisms of Witt rings

Piotr Jaworski

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p. 303-323

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A theorem on irrationality of infinite series and applications

C. Badea

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p. 313-323

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Effective simultaneous approximation of complex numbers by conjugate algebraic integers

G. J. Rieger

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p. 325-334

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On Sidon sequences of even orders

Sheng Chen

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p. 325-330

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The Turán-Kubilius inequality for integers free of large prime factors (II)

Ti Zuo Xuan

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p. 329-352

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A result on the digits of aⁿ

R. Blecksmith ; M. Filaseta ; C. Nicol

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p. 331-339

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Rational approximations to π and some other numbers

Masayoshi Hata

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p. 335-349

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Ramsey problems in additive number theory

Béla Bollobás ; Paul Erdős ; Guoping Jin

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p. 341-355

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The Diophantine equation

x^{2} + q^{m} = p^{n}

Nobuhiro Terai

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p. 351-358

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A generalization of Sylvester's and Frobenius' problems on numerical semigroups

Zdzisław Skupień

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p. 353-366

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The mean square of the Riemann zeta-function in the critical strip III

Kohji Matsumoto ; Tom Meurman

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p. 357-382

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On the zeros of ζ(s)-a

R. Balasubramanian ; K. Ramachandra

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p. 359-366

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B_{2 k}

-sequences

Martin Helm

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p. 367-371

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The diophantine equation x² + C = yⁿ

J. H. E. Cohn

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p. 367-381

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Some remarks on the Erdős-Turán conjecture

Martin Helm

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p. 373-378

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Kronecker-type sequences and nonarchimedean diophantine approximations

Gerhard Larcher ; Harald Niederreiter

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p. 379-396

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Corrigendum to the paper "Constants for lower bounds for linear forms in the logarithms of algebraic numbers II. The homogeneous rational case" (Acta Arith. 55 (1990), 15-22)

Josef Blass ; A. M. W. Glass ; David K. Manski ; David B. Meronk

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p. 383

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Generating units modulo an odd integer by addition and subtraction

H. W. Lenstra, Jr.

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p. 383-388

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