Farey series and the Riemann hypothesis
S. Kanemitsu, M. Yoshimoto (1996)
Acta Arithmetica
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S. Kanemitsu, M. Yoshimoto (1996)
Acta Arithmetica
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Vinaykumar V. Acharya, S. A. Katre (1995)
Acta Arithmetica
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A. Biró (2000)
Acta Arithmetica
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Marta Santos (1999)
Fundamenta Mathematicae
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DI(4) is the only known example of an exotic 2-compact group, and is conjectured to be the only one. In this work, we study generalized cohomology theories for DI(4) and its classifying space. Specifically, we compute the Morava K-theories, and the P(n)-cohomology of DI(4). We use the non-commutativity of the spectrum P(n) at p=2 to prove the non-homotopy nilpotency of DI(4). Concerning the classifying space, we prove that the BP-cohomology and the Morava K-theories of BDI(4) are all...
Teturo Kamae, Jun-ichi Tamura, Zhi-Ying Wen (1999)
Acta Arithmetica
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Norbert Hegyvári (1995)
Acta Arithmetica
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Vsevolod F. Lev, Pavel Y. Smeliansky (1995)
Acta Arithmetica
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What is the structure of a pair of finite integers sets A,B ⊂ ℤ with the small value of |A+B|? We answer this question for addition coefficient 3. The obtained theorem sharpens the corresponding results of G. Freiman.
Yong-Gao Chen (1997)
Acta Arithmetica
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