Project information
Number Theory, Its Algebraic Aspects and Its Relationship to Computer Science
- Project Identification
- GA201/93/2122
- Project Period
- 1/1993 - 1/1995
- Investor / Pogramme / Project type
-
Czech Science Foundation
- Standard Projects
- MU Faculty or unit
- Faculty of Science
- Cooperating Organization
-
University of Ostrava
- Responsible person prof. RNDr. Jiří Močkoř, DrSc.
- Responsible person prof. RNDr. Břetislav Novák, DrSc.
Projekt sjednocuje základní oblasti teorie čísel - analytickou a algebraickou teorii čísel, (které mají v ČR dlouhodobě uznávanou mezinárodní úroveň), a to jednak přes abstraktní algebraické jádro a jednak přes vzájemné oboustranné vztahy mezi teorií čísel a informatikou. Tyto přístupy umožní komplexní pohled na problematiku teorie čísel v souladu se současnými vývojovými trendy v matematice a využití teorie čísel v jiných oblastech matematiky.
Publications
Total number of publications: 9
1998
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Wilson quotients for composite moduli
Mathematics of Computation, year: 1998, volume: 67, edition: 222
1997
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Fermat quotients for composite moduli
Journal of Number Theory, year: 1997, volume: 66, edition: 1
1996
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Kummer type congruences and Stickelberg subideals
Acta Arithmetica, year: 1996, volume: 1996, edition: 3
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On a Special ideal contained in the Stickelberg Ideal
Journal of Number Theory, year: 1996, volume: 1996, edition: 1
1995
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A new criterion for the first case of Fermat's last theorem
Mathematics of Computation, year: 1995, volume: 64, edition: 209
1994
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Agoh's bases of the Stickelberger ideal
Mathematica Slovaca, year: 1994, volume: 44, edition: 5
-
The orders of solutions of the Kummer system of congruences
Transactions of the American Mathematical Society, year: 1994, volume: 1994, edition: 343
1993
-
Fermat's last theorem and the Fermat quotients
Comm. Math. Univ. Sancti Pauli Tokyo, year: 1993, volume: 1992, edition: 41 (1)
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Some bases of the Stickelberger ideal
Mathematica Slovaca, year: 1993, volume: 1993, edition: 43