[PDF] Top 20 On two variable p-adic L-functions
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On two variable p-adic L-functions
... 7 CHAPTER 3: COLEMAN POWER SERIES AND LOGARITHMIC DERIVATIVES 12 CHAPTER 4: ELLIPTIC UNITS 20 CHAPTER 5: LOGARITHMIC DERIVATIVES OF ELLIPTIC UNITS 28 CHAPTER 6: SOME BASIC RESULTS ON THE[r] ... See full document
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Critical slope p adic L functions of CM modular forms
... [17] Andr´ e Weil, On a certain type of characters of the id` ele-class group of an algebraic number-field, Proceedings of the international symposium on algebraic number theory, Tokyo & Nikko, 1955, Science Council ... See full document
23
Iwasawa theory and p adic L functions over Zp2 extensions
... a p-adic L-function for V – whose image under evaluation at de Rham characters of G is related to the critical L-values of V and its ...complex L-function is ...regarding ... See full document
46
Some Properties of the p-Adic Beta Function
... the p-adic beta function is used in Dwork cohomology and an cohomological in- terpretation of p-adic beta function is given by ...considered two constructions of the ... See full document
18
Wach modules and critical slope p adic L functions
... þ p for the ring of power series f ðpÞ A Q p J p K such that f ðX Þ converges everywhere on the open unit p-adic ...Q p with actions of G and a Frobenius operator j by g:p ¼ ðp þ ... See full document
27
Rankin–Eisenstein classes and explicit reciprocity laws
... 3-variable p-adic Rankin L-function introduced by ...this p-adic L-function coincides up to some explicit factors with L(f, g, 1 + ...this L-value is ... See full document
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Coleman maps and the p adic regulator
... be computed via Perrin-Riou’s explicit reciprocity law), we obtain a precise description of the images of the Coleman maps. In the case when V arises from a modular form, we get some stronger results about the integral ... See full document
31
Postcolonial Trauma Narratives: Traumatic Historiography and Identity in Amitav Ghosh's The Calcutta Chromosome
... of functions in the Cartesian and polar coordinate systems in a single-variable ...investigated two pre-service secondary mathematics teachers’ ways of thinking when graphing in the polar coordinate ... See full document
182
ON p-ADIC INTEGRAL REPRESENTATION OFq -BERNOULLI NUMBERS ARISING FROM TWO VARIABLE q-BERNSTEIN POLYNOMIALS
... In this paper, we study the p-adic integral representation on Z p of q-Bernoulli numbers arising from two variable q-Bernstein polynomials and investigate some properties for the q-Berno[r] ... See full document
11
On the Identities of Symmetry for the Generalized Bernoulli Polynomials Attached to of Higher Order
... Simsek, “On p-adic twisted q-L-functions related to generalized twisted Bernoulli numbers,” Russian Journal of Mathematical Physics, vol.. Kim, “New approach to the complete sum of produ[r] ... See full document
7
P adic L functions for GL(2)
... of L-functions has proved extremely fruitful in number theory for almost two centuries, and there are a wealth of research papers relating their critical values to impor- tant arithmetic ...of ... See full document
42
A STUDY ON NOVEL EXTENSIONS FOR THE -ADIC GAMMA AND -ADIC BETA FUNCTIONS
... fermionic p-adic measure based on ( ; q)-integers and set the corresponding integral to this ...beta functions based on ( ; q)-numbers and committed the integral modi…cation of the generalized ... See full document
17
P adic L functions of Bianchi modular forms
... case that p splits in K as pp, however, we can obtain more subtle results. The crux of this section is that we can prove a control theorem for a ‘small slope’ condition that encompasses far more possible ... See full document
43
A note on p adic Rankin Selberg L functions
... 3-variable p-adic L-function with the expected interpolating property was initially announced in [Urb14], but an error in this construction was subsequently found, and (to the best of the this ... See full document
11
SYMMETRY IDENTITIES OF CHANGHEE POLYNOMIALS OF TYPE TWO
... type two are considered by ...type two which are derived from the properties of symmetry for the fermionic p-adic integrals on Z p ... See full document
8
Finite polynomial cohomology for general varieties
... the polynomial 1 − T ; this gives the direct sum S L,P the structure of a Tate -spectrum. The same argument as in op.cit. now gives pushforward maps (and the projection formula for these holds by ... See full document
19
Remarks on Sum of Products of Twisted Euler Polynomials and Numbers
... I.-C. Huang and S.-Y. Huang 20 found complete sums of products of Bernoulli polynomi- als. Kim 13 defined Carlitz’s q-Bernoulli number of higher order using an integral by the q-analogue μ q of the ordinary ... See full document
8
A NOTE ON $p$-ADIC LINDEMANN-WEIERSTRASS
... C p to L p ...Q p of Q p as follows: if α ∈ Q p , then there exist N, m ∈ N such that Supp(α) ⊆ N 1 Z[ 1 p ] and the residue classes of the coefficients in the expansion ... See full document
10
Tauberian operators in p adic analysis
... 1. Introduction. Throughout this paper, K is a non-archimedean non-trivially val- ued complete field with a valuation | |. Let E and F be infinite-dimensional Banach spaces over K. Let L(E,F) stand for the set of ... See full document
14
A p-adic Jacquet-Langlands Correspondence
... standard normalization issues and the choice of whether or not to divide by the degree will not change whether a cochain is harmonic. Since the top dimensional simplex is 1-dimensional, there is only one condition for a ... See full document
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