Focuses on the p-adic L functions and the trivial zeroes. Construction of the Greenberg invariant in the ordinary case; Conjectures about the values of the p-adic L function of the symmetric square of an elliptic curve; Conjectural definition of the p-adic L function; Linkage between the p-...
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To such a p-adic character we associate an L-function, and we prove that this L-function is p-adic meromorphic if the corresponding sequence (ci) is overconvergent. If more generally the sequence is C log-convergent, we show that the associated L-function is meromorphic in the open disk...
p-adic数域 1. The necessary and sufficient condition of real-valued function is researched in p-adic fields. 研究了p-adic数域上实值函数可积的充要条件。 2. The paper is briefly focused on mean value theorem of differentials on P-adic fields. 主要研究P-adic数域上的微分中值定理。 更多例...
Keywords:P-adic number;P-adic L-function;Dirichlet character;L-function;Theorem;Special case;Cyclotomic field;Algebraic number field;Existential quantification;Algebraic number;Power series;Algebraic number theory;Arithmetic function;Algebraic closure;Series (mathematics);Meromorphic function;Mellin transform;Clas...
An analytic function interpolating the multiple generalized Bernoulli numbers attached to a primitive Dirichlet character X at negative integers in the complex plane is studied. The multiple p -adic L -function is constructed as the p -adic analog of the above function. Finally, the values of ...
On p-adic q-L-functions and sums of powers - Park, Kim - 2002 () Citation Context ...1 where ( ) n n(n−1)···(n−l+1) l = l! . The q-extension of n ∈ N is defined by and [n]−q = [n]q = l=0 1 − qn 1 − q = 1 + q + q2 + ··· + q...
运用p-adic赋值理论给出了泛可除Bernoulli数∧Bn/n的系数τu的p-adic赋值的界,从而给出了泛von Staudt定理中部分同余式的简化证明。补充资料:偏微分算子的特征值与特征函数 由边界固定的膜振动引出的拉普拉斯算子的特征值问题:是一个典型的偏微分算子的特征值问题,这里x=(x1,x2);Ω是膜所占据的平面区域。使得...
So the p-adic L-function attached to χ (an even character) arises from the inverse limit of the χ-parts of the real Stickelberger elements ϑn. As before, for χ≠1, we have Lθ+χ(T)∈Zp〚T−1〛 and the isomorphisms(4.3)Zp(Γ)(μϑχ)≃Zp〚Γ〛(ϑn(χ))...
Using the idea of Sinnott, Gillard and Schneps, we prove the μ -invariant is zero for the two-variable primitive p -adic L -function constructed by Kang (... YL Kang,HR Qin - 《Science China Mathematics》 被引量: 4发表: 2014年 ON TWO-VARIABLE PRIMITIVE p-ADIC L-FUNCTIONS Weonstruct...