Ethers v6

import { BrowserProvider } from 'ethers';
import { aurum } from './aurum';

const provider = new BrowserProvider(aurum.rpcProvider);

const signer = await provider.getSigner();
const signature = await signer.signMessage('Hello!');

const signer = provider.getSigner();
const tx = await signer.sendTransaction({ 
	to: '0x...', 
	value: ethers.parseEther('0.01') 
});