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I've always wondered how some "mathematical coincidences" are published, or spread to a wider audience. For instance, the almost integer: $$ e^\pi -\pi = 19.9990999\ldots $$ was "noticed almost simu …

The Latex command \ldots is often used to denote "and so forth". For instance, $$ \pi \approx 3.1415\ldots $$ When a sentence ends with an \ldots, one is faced with the conundrum of how to properly …

However, I did not find any references to journals that publish new mathematical identities. … Are there no journals that publish such results? …

In general, when a paper references an object discovered/defined in another paper by author X, it goes something along the lines of: "Let $\tau$ be the constant defined by X in 1999 [1]$\ldots$", or …

Vassilev-Missana - A note on prime zeta function and Riemann zeta function¹ claims the following remarkable identity: $$ P(s)=1-\sqrt{\frac{2}{\zeta(s)}-\sqrt{\frac{2}{\zeta(2s)}-\sqrt{\frac{2}{\zeta( …

Since the natural logarithm, i.e. with base $e$, is very commonly used in research papers and that both $\ln(x)$ and $\log(x)$ are used to denote it, it is natural* to ask which of these notations to …

Many research papers include numerical results obtained through computation. Most of the time such computations are performed using software that is used by many mathematicians, i.e., Maple, Mathemati …

In the course of my research I computed terms of an existing OEIS sequence that are currently unknown. Having prepared my paper for publication, I am now faced with a (small) dilemma: Do I first con …