How to get credit for a mathematics discovery?

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    Discovery Mathematics
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Discussion Overview

The discussion revolves around the process of gaining recognition for a mathematical discovery, specifically regarding the evaluation of an integral that was previously believed to lack an elementary antiderivative. Participants explore the implications of this discovery and the steps necessary for proper acknowledgment in the mathematical community.

Discussion Character

  • Debate/contested, Technical explanation

Main Points Raised

  • One participant claims to have found a way to express an integral's antiderivative in elementary functions, which was previously thought impossible, and seeks advice on how to ensure proper credit for this discovery.
  • Another participant suggests writing a paper for a journal, providing a specific journal as a reference and recommending reviewing author guidelines and existing papers.
  • A different participant proposes submitting the work to arXiv as an alternative method for sharing research and gaining recognition.
  • One participant challenges the validity of the discovery by referencing the Liouville theorem and the Risch algorithm, asserting that these already address the evaluation of elementary primitives and may render the new discovery redundant.

Areas of Agreement / Disagreement

Participants express differing views on the significance of the discovery, with some supporting the idea of recognition through publication while others contest the novelty of the claim based on established mathematical theorems.

Contextual Notes

The discussion highlights potential limitations regarding the applicability of the Liouville theorem and Risch algorithm, as well as the need for clarity on what constitutes a novel contribution in the context of existing mathematical knowledge.

Who May Find This Useful

Individuals interested in mathematical research, publication processes, and the recognition of discoveries in mathematics may find this discussion relevant.

Glype11
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I figure out a way to evaluate an integral with an antiderivative with elementary functions which had previously only been defined by an anitderivative that was not an elementary function. Everything checks outs. I used 3 regular substitutions and a trigonometric substitution and I just have to go back and insert the original variables. Although the antiderivative maybe somewhat involved it will certainly be elementary.

I only did some algebraic manipulations and and used an initial substitution, and proceeded from there. I didn't discover a new method yet the antiderirvate was thought to be impossible to express in elementary functions and if I can proof that it can, how big of deal would that be? Before I show my results, I want to make sure I get credit for my work so no one can steal the idea as their own.

How does one get proper recognition for a discovery such as this?
 
Physics news on Phys.org
I want to know more about that. too.
Here is some information about what I do know:
You must write a paper to a journal, you can check:
ijma.info , before creating a paper, read author guidelines and some other papers/issues to understand how the journal works.
 
The Liouville theorem and the Risch algorithm specify exactly which functions have an elementary primitive and a way to find. And if it has no elementary primitive, it provides a proof of this. So your discovery is sadly useless since the Liouville theorem and Risch algorithm already do what you invented (and they do it for general functions).
 

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