A fundamental and recurring problem in analytic number theory is to demonstrate the presence of cancellation in an oscillating sum, a typical example of which might be a correlation $latex \display…| What's new
In Notes 1, we approached multiplicative number theory (the study of multiplicative functions $latex {f: {\bf N} \rightarrow {\bf C}}&fg=000000$ and their relatives) via elementary methods, in …| What's new
In analytic number theory, an arithmetic function is simply a function $latex {f: {\bf N} \rightarrow {\bf C}}&fg=000000$ from the natural numbers $latex {{\bf N} = \{1,2,3,\dots\}}&fg=0000…| What's new
We now move away from the world of multiplicative prime number theory covered in Notes 1 and Notes 2, and enter the wider, and complementary, world of non-multiplicative prime number theory, in whi…| What's new