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A NNALES DE L INSTITUT F OURIERVOLKER D NGER padic interpolation of convolutions of Hilbert modular forms Annales de linstitut Fourier, tome 47, no 2 (1997), p. 365428 http://www.numdam.org/item?idAIF_1997__47_2_365_0

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How to fill out p-adic interpolation of convolutions

01

Start by choosing a prime number p to use for the interpolation process.

02

Write out the convolution function you want to interpolate.

03

Express the input and output variables in terms of p-adic numbers.

04

Use the p-adic valuation to determine the interpolation conditions.

05

Solve the interpolation conditions to find the p-adic interpolation of the convolutions.

Who needs p-adic interpolation of convolutions?

01

Mathematicians and researchers working in the field of number theory and p-adic analysis.

02

Scientists and engineers studying p-adic methods for signal processing or cryptography.

03

Students learning about p-adic numbers and their applications in mathematics.

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What is p-adic interpolation of convolutions?

p-adic interpolation of convolutions is a mathematical technique that allows for the computation of convolution operations in the context of p-adic numbers, facilitating analysis in number theory and algebraic geometry.

Who is required to file p-adic interpolation of convolutions?

Typically, researchers and mathematicians working on number theory and related fields that apply p-adic methods may be required to file p-adic interpolation of convolutions as part of their research documentation or publications.

How to fill out p-adic interpolation of convolutions?

Filling out p-adic interpolation of convolutions involves defining the p-adic numbers relevant to the convolutions and applying the appropriate mathematical formulas to compute the interpolated results.

What is the purpose of p-adic interpolation of convolutions?

The purpose of p-adic interpolation of convolutions is to extend the properties of traditional convolutions into the realm of p-adic analysis, enabling deeper insights into number-theoretic problems and algorithms.

What information must be reported on p-adic interpolation of convolutions?

Information that must be reported includes the specific p-adic numbers used, the functions or sequences being convolved, and any relevant parameters or results obtained from the interpolation.

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