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Illinois Journal of Mathematics
VOL. 6 · NO. 1 | March 1962
 
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Front Matter
Frontmatter
Illinois J. Math. 6 (1), (March 1962) Open Access
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Articles
On the mean values of certain trigonometrical polynomials II
J. E. Littlewood
Illinois J. Math. 6 (1), 1-39, (March 1962) DOI: 10.1215/ijm/1255631803 Open Access
KEYWORDS: 42.05
No abstract available
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The linear $p$-adic recurrence of order two
Morgan Ward
Illinois J. Math. 6 (1), 40-52, (March 1962) DOI: 10.1215/ijm/1255631804 Open Access
KEYWORDS: 10.61
No abstract available
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On two theorems of P. Erdös and A. Rényi
I. J. Schoenberg
Illinois J. Math. 6 (1), 53-58, (March 1962) DOI: 10.1215/ijm/1255631805 Open Access
KEYWORDS: 10.63
No abstract available
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Congruences for the partition function to composite moduli
Morris Newman
Illinois J. Math. 6 (1), 59-63, (March 1962) DOI: 10.1215/ijm/1255631806 Open Access
KEYWORDS: 10.48
No abstract available
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Approximate formulas for some functions of prime numbers
J. Barkley Rosser, Lowell Schoenfeld
Illinois J. Math. 6 (1), 64-94, (March 1962) DOI: 10.1215/ijm/1255631807 Open Access
KEYWORDS: 10.42
No abstract available
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On Lindelöf's conjecture concerning the Riemann zeta-function
P. Turán
Illinois J. Math. 6 (1), 95-97, (March 1962) DOI: 10.1215/ijm/1255631808 Open Access
KEYWORDS: 10.41
No abstract available
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On complementary automorphic forms and supplementary Fourier series
Marvin Isadore Knopp, Joseph Lehner
Illinois J. Math. 6 (1), 98-106, (March 1962) DOI: 10.1215/ijm/1255631809 Open Access
KEYWORDS: 10.22, 30.00
No abstract available
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A family of difference sets
Albert Leon Whiteman
Illinois J. Math. 6 (1), 107-121, (March 1962) DOI: 10.1215/ijm/1255631810 Open Access
KEYWORDS: 10.62
No abstract available
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On a theorem of Rademacher-Turán
P. Erdös
Illinois J. Math. 6 (1), 122-127, (March 1962) DOI: 10.1215/ijm/1255631811 Open Access
KEYWORDS: 05.40
No abstract available
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Another proof that bounded modular functions are constants
T. Estermann
Illinois J. Math. 6 (1), 128-130, (March 1962) DOI: 10.1215/ijm/1255631812 Open Access
KEYWORDS: 30.49
No abstract available
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An inequality suggested by the theory of statistical inference
Henry B. Mann
Illinois J. Math. 6 (1), 131-136, (March 1962) DOI: 10.1215/ijm/1255631813 Open Access
KEYWORDS: 62.25, 26.52
No abstract available
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On the number of integers $\leqq x$ whose prime factors divide $n$
N. G. De Bruijn
Illinois J. Math. 6 (1), 137-141, (March 1962) DOI: 10.1215/ijm/1255631814 Open Access
KEYWORDS: 10.43
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waring's problem for algebraic number fields and primes of the form $(p^{r} - 1)/(p^{r} - 1)$
Paul T. Bateman, Rosemarie M. Stemmler
Illinois J. Math. 6 (1), 142-156, (March 1962) DOI: 10.1215/ijm/1255631815 Open Access
KEYWORDS: 10.46, 10.64
No abstract available
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The initial value problem for Maxwell's equations for two media separated by a plane
Fritz John
Illinois J. Math. 6 (1), 157-172, (March 1962) DOI: 10.1215/ijm/1255631816 Open Access
KEYWORDS: 78.35
No abstract available
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Two theorems on automorphic functions
Joseph Lehner
Illinois J. Math. 6 (1), 173-176, (March 1962) DOI: 10.1215/ijm/1255631817 Open Access
KEYWORDS: 30.49, 10.20
No abstract available
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The sign of the Gaussian sum
L. J. Mordell
Illinois J. Math. 6 (1), 177-180, (March 1962) DOI: 10.1215/ijm/1255631818 Open Access
KEYWORDS: 10.41
No abstract available
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On positive harmonic polynomials
Gabor Szegö
Illinois J. Math. 6 (1), 181-186, (March 1962) DOI: 10.1215/ijm/1255631819 Open Access
KEYWORDS: 31.11
No abstract available
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Imaginary quadratic fields with unique factorization
Paul T. Bateman, Emil Grosswald
Illinois J. Math. 6 (1), 187-192, (March 1962) DOI: 10.1215/ijm/1255631820 Open Access
KEYWORDS: 10.66
No abstract available
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Back Matter
Backmatter
Illinois J. Math. 6 (1), (March 1962) Open Access
No abstract available
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