منابع مشابه
p-adic interpolation of half-integral weight modular forms
The p-adic interpolation of modular forms on congruence subgroups of SL2(Z) has been succesfully used in the past to interpolate values of L-series. In [12], Serre interpolated the values at negative integers of the ζ-series of a totally real number field (in fact of L-series of powers of the Teichmuller character) by interpolating Eisenstein series, which are holomorphic modular forms, and loo...
متن کاملCompensating Interpolation Distortion by Using New Optimized Modular Method
A modular method was suggested before to recover a band limited signal from the sample and hold and linearly interpolated (or, in general, an nth-order-hold) version of the regular samples. In this paper a novel approach for compensating the distortion of any interpolation based on modular method has been proposed. In this method the performance of the modular method is optimized by adding only...
متن کاملExpansions of Modular Forms and Their Interpolation Properties
We define a power series expansion of a holomorphic modular form f in the p-adic neighborhood of a CM point x of type K for a split good prime p. The modularity group can be either a classical conguence group or a group of norm 1 elements in an order of an indefinite quaternion algebra. The expansion coefficients are shown to be closely related to the classical Maass operators and give p-adic i...
متن کاملPresentation of K Nearest Neighbor Gaussian Interpolation and comparing it with Fuzzy Interpolation in Speech Recognition
Hidden Markov Model is a popular statisical method that is used in continious and discrete speech recognition. The probability density function of observation vectors in each state is estimated with discrete density or continious density modeling. The performance (in correct word recognition rate) of continious density is higher than discrete density HMM, but its computation complexity is very ...
متن کاملResults on polynomial interpolation with mixed modular operations and unknown moduli
Motivated by a recently introduced HIMMO key predistribution scheme, we investigate the limits of various attacks on the polynomial interpolation problem with mixed modular operations and hidden moduli. We firstly review the classical attack and consider it in a quantum-setting. Then, we introduce new techniques for finding out the secret moduli and consider quantum speed-ups.
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1931
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1931-05099-0