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

隼鹰

On Modular forms of Weight (6, + 1)/5 Satisfying a Certain Differential Equation,We study solutions of a differential equation which arose in our previous study of supersingular elliptic curves. By choosing one fifth of an integer κ as the parameter involved in the differential equation, we obtain modular forms of weight . as solutions. It is observed that this solution is also related to supersingular elliptic curves.

intuition

Analytic Properties of Multiple Zeta-Functions in Several Variables,We report several recent results on analytic properties of multiple zeta-functions, mainly in several variables, such as the analytic continuation, the asymptotic behaviour, the location of singularities, and the recursive structure. Some results presented in this paper have never been published before.

繁重

Explicit Congruences for Euler Polynomials,In this paper we establish some explicit congruences for Euler polynomials modulo a general positive integer. As a consequence, if . ∈ ℤ and 2 ∤ . then . which may be regarded as a refinement of a multiplication formula.

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Wenpeng Zhang,Yoshio TanigawaDeals with various aspects of number theory, with some chapters taking an algorithmic point of view and.some taking a historical perspective.Includes supplementary material:

冷漠

Zeros of Automorphic ,-Functions and Noncyclic Base Change,ntations .,..., . of . (ℚ.), if it is invariant under the Galois action. A technique used in this article is a version of Selberg orthogonality for automorphic .-functions (Lemma 6.2 and Theorem 6.4), which is proved unconditionally, without assuming . and .,..., . being self-contragredient.

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痛苦一生

Choreography

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