Titlebook: Number Theory; Tradition and Modern Wenpeng Zhang,Yoshio Tanigawa Conference proceedings 2006 Springer-Verlag US 2006 Congruences.Exponenti

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Densities of Sets of Primes Related to Decimal Expansion of Rational Numbers, relative frequency (density) .(.). We propose several new conjectures on them and also on .(.) constructed in the same way from the subgroup . of (ℤ/.ℤ). of order ., where . is taken to be a primitive root mod .. We also refer to rather general probabilistic phenomena.

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he theory of pointwise multipliers acting in pairs of spaces of differentiable functions. The theory was essentially developed by the authors during the last thirty years and the present volume is mainly based on their results. ..Part I is devoted to the theory of multipliers and encloses the follow

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Toshihiro Hadano,Yoshiyuki Kitaoka,Tomio Kubota,Michihiro Nozakiapplied to the dual Ising-spin model with a transverse magnetic field. The CBF analysis of the associated ground and excited states is conducted with correlated trial wave functions of the Hartree-Jastrow type for Pauli spins on an infinitely extended square lattice with unit lattice constant. The h