A congruence for the second factor of the class number of a cyclotomic field
L. Carlitz (1968)
Acta Arithmetica
Similarity:
L. Carlitz (1968)
Acta Arithmetica
Similarity:
Lorenz Halbeisen, Norbert Hungerbühler (1997)
Journal de théorie des nombres de Bordeaux
Similarity:
We give explicit non-recursive formulas to compute the Josephus-numbers and and explicit upper and lower bounds for (where ) which differ by (for the bounds are even better). Furthermore we present a new fast algorithm to calculate which is based upon the mentioned bounds.
Jerzy Urbanowicz (1990)
Compositio Mathematica
Similarity:
H. Williams (1972)
Acta Arithmetica
Similarity:
Jianya Liu, Tao Zhan (1997)
Acta Arithmetica
Similarity:
For a large odd integer N and a positive integer r, define b = (b₁,b₂,b₃) and It is known that . Let ε > 0 be arbitrary and . We prove that for all positive integers r ≤ R, with at most exceptions, the Diophantine equation ⎧N = p₁+p₂+p₃, ⎨ j = 1,2,3,⎩ with prime variables is solvable whenever b ∈ (N,r), where A > 0 is arbitrary.
W. Narkiewicz (1967)
Acta Arithmetica
Similarity:
Paolo Codecà, Roberto Dvornicich, Umberto Zannier (1998)
Journal de théorie des nombres de Bordeaux
Similarity:
We study two rather different problems, one arising from Diophantine geometry and one arising from Fourier analysis, which lead to very similar questions, namely to the study of the ranks of matrices with entries either zero or , where denotes the “centered” fractional part of . These ranks, in turn, are closely connected with the non-vanishing of the Dirichlet -functions at .
Joseph Muskat (1966)
Acta Arithmetica
Similarity:
Joseph Muskat, A. Whiteman (1970)
Acta Arithmetica
Similarity:
H Stark (1968)
Acta Arithmetica
Similarity: