送秋波 发表于 2025-3-26 23:44:56

The Local Root Number of Elliptic Curves,In this paper, we compute the sign of the functional equation of the .-function of elliptic curves in terms of the coefficients of the Weierstraß equation.

经典 发表于 2025-3-27 04:18:45

On Skew-holomorphic Jacobi Forms,Let ., . be positive integers and let . be odd. Let . (mod 2.) be an integer. The theta function. where .(.) := .., . ∈ ℂ, satisfies the heat equation.and further it satisfies the following transformation law:.where ..(.) := .., . ∈ ℂ. The Poisson summation formula gives

GLADE 发表于 2025-3-27 09:15:11

The View-obstruction Problem,The view-obstruction problem was first introduced by T. W. Cusick. In his 1972 paper he stated the following problem.

neologism 发表于 2025-3-27 13:08:09

Special Integral Bases with Restricted Coefficients for Extensions of Dedekind Domains,Let . denote a Dedekind domain, . its field of quotients, .(d̄) a finite (of degree .) separable extension of . the integral closure of . in .. We choose . to lie in .. It is known that . is a finite .-module generated by . (≥ .) elements ., … .(say).

阴郁 发表于 2025-3-27 16:15:40

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冷漠 发表于 2025-3-27 20:12:35

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Congestion 发表于 2025-3-28 00:42:48

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认识 发表于 2025-3-28 05:46:01

On the Average of the Sum-of-odd-divisors Function,term in the average .(.) = Σ.’(.). We apply the method of averaging over suitable arithmetic progressions to get an extension of the Ω-results obtained by Y.-F.S. Pétermann in the case of the sum-of-divisors function, the classical .(.).

竖琴 发表于 2025-3-28 08:38:32

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Interim 发表于 2025-3-28 11:36:15

The Addition Law on Hyperelliptic Jacobians,lex numbers, this can be done using theta function identities. Abstractly, the group law was written down by Cantor . As observed by Koblitz , this makes it possible to use the set of points on the Jacobian of a hyperelliptic curve (or more succintly, a hyperelliptic Jacobian) over a finite field as the basis of a public-key cryptosystem.
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查看完整版本: Titlebook: Current Trends in Number Theory; Sukumar Das Adhikari,Shashikant A. Katre,B. Ramakr Book 2002 Hindustan Book Agency (India) 2002