P-Adic Analytic Functions

P-ADIC解析函数

数论

原   价:
1390.00
售   价:
1042.00
发货周期:预计3-5周发货
作      者
出  版 社
出版时间
2021年03月17日
装      帧
精装
ISBN
9789811226212
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页      码
348 pp
语      种
英文
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图书简介
P-adic Analytic Functions describes the definition and properties of p-adic analytic and meromorphic functions in a complete algebraically closed ultrametric field. Various properties of p-adic exponential-polynomials are examined, such as the Hermite Lindemann theorem in a p-adic field, with a new proof. The order and type of growth for analytic functions are studied, in the whole field and inside an open disk. P-adic meromorphic functions are studied, not only on the whole field but also in an open disk and on the complemental of a closed disk, using Motzkin meromorphic products. Finally, the p-adic Nevanlinna theory is widely explained, with various applications. Small functions are introduced with results of uniqueness for meromorphic functions. The question of whether the ring of analytic functions — in the whole field or inside an open disk — is a Bezout ring is also examined.
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