[PDF] Top 20 Critical slope p adic L functions of CM modular forms
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Critical slope p adic L functions of CM modular forms
... Bella¨ıche’s critical-slope p-adic L-functions are only defined up to multiplication by a nonzero constant for characters of each sign; in Kato’s construction these constants ... 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
Mock period functions, sesquiharmonic Maass forms, and non critical values of L functions
... Abstract. We introduce a new technique of completion for 1- cohomology which parallels the corresponding technique in the theory of mock modular forms. This technique is applied in the context of ... See full document
19
On the Tamagawa Number Conjecture for motives attached to modular forms
... of L-functions to cohomology groups of X, the algebraic factors were still ...on CM elliptic curves [Ki01], there has been little progress in the intervening years in more geometric ... See full document
80
Uniformization of modular elliptic curves via p-adic periods
... a CM-field, one can prove whether a given elliptic curve is modular by a given ...2-dimensional p-adic Galois representations associated to modular forms (see the recent ... See full document
33
Exceptional zeros and L invariants of Bianchi modular forms
... of p-adic L-functions, whose study has facilitated signifi- cant progress in examples such as the Birch and Swinnerton-Dyer ...analytic functions that interpolate special values of ... See full document
37
Rankin Eisenstein classes in Coleman families
... the p-adic families of modular forms along which we interpolate; secondly, the Perrin-Riou big logarithm map is a generalisation of Coleman power series in classical Iwasawa theory (introduced ... See full document
53
Eigenforms of half integral weight
... of modular forms that we require in the rest of the ...the critical values of L-functions of the quadratic ...between modular forms and quadratic forms and we ... See full document
153
A correspondence of modular forms and applications to values of L series
... of modular forms of weight k ≥ 4 is generated by prod- ucts of such Eisenstein series when the level is prime [5], this result implies relations among critical values of L-functions for ... See full document
12
On Critical Values of L-Functions for Holomorphic Forms on GSp(4) X GL(2)
... the L-function under consideration following the methods of ...value L( 1 2 , F ...Siegel modular forms are never ...of p-adic ... See full document
149
The L functions and modular forms database project
... This is only a simple example. The database entry for an individual elliptic curve over Q currently contains 33 fields, some very technical. The number of fields grows over time as new data are contributed. For example, ... See full document
14
P adic L functions for GL(2)
... Using evaluation maps, which were described initially by Dimitrov for totally real fields in [Dim13] and which we have generalised to the case of arbitrary number fields, we relate this modular symbol to ... See full document
42
Wach modules and critical slope p adic L functions
... at p, and requires that the root be of ‘‘non-critical slope’’, ...its p-adic valuation should be strictly less than k 1. The L-function corresponding to the root a is the unique ... See full document
27
P adic L functions of Bianchi modular forms
... Hilbert modular forms (that is, to modular symbols over totally real fields), though the methods he uses are vastly different to those in the Bianchi case, as such symbols live in higher compactly ... See full document
43
p adic singular integrals and their commutators in generalized Morrey spaces
... of p-adic singular integral operators on the p-adic generalized Morrey ...the p-adic singular integral operators and p-adic Lipschitz functions or ... See full document
13
Analytic number theory in India during 2001 2010
... Dirichlet related class number of quadratic forms with special values of his L-functions. This interesting relation has opened up a genre in number theory which falls at the intersection of algebraic ... See full document
20
On the Solutions of the Equation x3 + Ax = B in Z3* with Coefficients from Q3
... of p -adic numbers. In particular, p -adic analysis is one of the intensive developing directions of modern ...of p -adic numbers have found their own reflection in the theory of ... See full document
12
A STUDY ON NOVEL EXTENSIONS FOR THE -ADIC GAMMA AND -ADIC BETA FUNCTIONS
... the p-adic factorial ...the p-adic ( ; q)-gamma function by means of the mentioned factorial ...case p = 2. We also derive more representations of the p-adic ( ; q)-gamma ... See full document
17
Contributions to algebraic number theory from India: From independence to late 90's
... Kirti Joshi : He has constructed coverings of the affine line using Drinfeld modules, cf. [15]. C. Khare : He has proved several results about congruences of modular forms, cf. [18] a subject which has ... See full document
15
On Mahler Expansion of p-adic Gamma Function Affiliated with the q-Boole Polynomials
... and p-adic gamma function. Also, we have computed the fermionic p-adic q-integral of the derivative of p-adic gamma ...the p-adic Euler constant by means of the ... See full document
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