The Morita p-adic Gamma function skips multiples of p. The ratio of consecutive values is 1 exactly when p divides n -- it reads divisibility directly. But adelic structure cannot factor: index circularity, O(n^2 log n) cost, regularization prevent it. Value: connections to Gauss sums, p-adic L-functions, adelic Riemann Hypothesis. doi.org/10.5281/zenodo.20119699 #Mathematics #Math #NumberTheory #PureMath #Research #AcademicChatter #Mastodon
That sounds a lot like the pitch which turned me to FP from #oop except that I was seen as the cheap processor , with my time which perhaps could change if I were a #cse scholar ( not just graduate a scholar)
Of course the early PC development owe nearly everything to oop , but pop owes it all to #puremath science , and #logic
This episode reinforces a recurring theme of the series: asymptotics is geometry in disguise. Whether through steepest descent, Laplace’s method, or contour deformation, the dominant contribution always comes from regions where analytic structure forces concentration. Learning to recognize these regions—and to justify why others do not contribute—is the real content of the method.
#NumberTheory #ComplexAnalysis #AnalyticNumberTheory #Mathematics #MathCommunity #STEM #PureMath
🔗 https://cortexdrifter.blogspot.com/2026/04/a-small-taste-from-my-new-book-season-2_25.html
A Small Taste from My New Book: Season 2 Episode 10

Explorations in analytic number theory, asymptotic analysis, and unsolved problems, written by a mathematician and software engineer.

At one point the term - stratified #lambdaclculus seemed so cryptic that I read entire book on that theory.
No it simply means , no universal quantifiers and hence no circular reasoning in logic , to me me.
Context - predicativ- ity
Moral - if a lot of time in progress is going on demystifying such pseudo cryptic terms in stead of asking well framed questions with well founded definitions , its time to step back / take a break a rethink the directionNow unguided paper chasing is worse than learning from #ai , as it can give you even more misleading summary.#puremath

AI Is Being Trained to Break Math — by the U.S. Government
What could go wrong?

#AI #PureMath #DigitalEthics #AIinScience #TheInternetIsCrack #USGovAI

Would anyone be interested in proofreading a research paper, or helping with a literature search on the topic? I am currently in the process of writing a paper that collects definitions of the Thue-Morse Sequence, and extending as many of them as possible from base 2 to base n. I believe I've collected 12 definitions of the original sequence, but I feel somewhat confident that there are more that I am missing. Additionally, I would like to be able to cite them from as many places as possible. Any advice would be much appreciated

#research #math #gametheory #thuemorse #mathematics #puremath #puremaths #literaturesearch #researcher #researchers

« Under the name of "shaping for excellence", the University of Leicester will destroy much of our fundamental research capacity and the quality of our degree programmes.

« [...] the University VC proposes to cease research in pure mathematics [...] »

#math #petition #puremath #University #Leicester

https://www.ipetitions.com/petition/mathematics-is-not-redundant

Petition Mathematics is not redundant

Dear Nishan, Make the hard choice: step back from your plans to destroy mathematics at the University of Leicester.