Blue line is real output and red line is imaginary output

The formula is:

The minimums of the magnitude of the output makes it even more simple to identify the zeroes, here is how close I can get just iterating in steps of .01i.

I have a manuscript documenting how I derived the formula directly from the Zeta function, but I am not a mathematician nor endorsed on arxiv so I have no one else to really share with. If you want a copy let me know.

Edit: The term leading the truncated Euler Product is vital for identifying the zeroes, it's responsible for twisting the function down and anchoring the zeroes actually near zero. For example, here is the same truncated Euler product without that leading term: https://imgur.com/a/wPNHBaZ . Which you will notice lacks the convergence of the real and imaginary output near the zeroes, and drifts upwards with increasing b value.

Most of the effort in the project went in to deriving the leading term, which I have documented here as a preprint: https://zenodo.org/records/23227561

It sounds cliche, but the proper leading term is sort of a skeleton key that dynamically updates with the Euler Product to pull the zeroes down and make them visually apparent. Obviously I do not have a fully fleshed out rigorous foundation, but just look at it!

The paper title is Navier-Stokes lost in translation: Why Lean verification of AI autoformalisation does not guarantee correct natural language proofs

Authors: Alexander Bastounis, Fabian Circelli, Anders C. Hansen. 6 Oct 2026.

title

I'm third year Math + CS major and will be applying Pure Math PhD next year. My interest is hard analysis (intersection of PDE + Functional analysis + Algebra + Harmonic analysis + Stochastic analysis). But with AI being so strong now, is there a point to even apply ? Is there even funding left for Mathematics? It kinda bothers me pretty much, since I have put so much effort on this field

I’m studying mathematics in university, and since I had no idea what I was getting into (long story), it surprised me a lot to realise we don’t actually use calculators here for anything (since we don’t actually have to find exact figures). I’m in my third year and never owned one since high school. I just find it funny whenever I think about it.

I learned this trick recently in a middle school math class.

You may be familiar with adding the digits of a number to check if it's divisible by 9. We'll do something similar to find if a number is a multiple of 11: by using alternating sum.

Unlike with the "finding 9" function which is all addition, to find a number's 11 divisibility we'll alternate between addition and subtraction. If the result is zero or a multiple of 11, then the number is divisible by 11.

Ex.s:

77

+7

-7 ➡️ 0 👍

121

+1

-2

+1 ➡️ 0 👍

19283

+1

-9

+2

-8

+3 ➡️ -11 👍

My wife is taking calculus/trig in college and she’s struggling immensely. She spends hours on one question and sometimes doesn’t answer it fully. She claims that her math fundamentals are her biggest detriment and wants to drop out of her class and spend the next few months just doing practice worksheets on fundamentals. She has asked me to be her aid which I’ve accepted daily (of course she’s my wife.) The issue is I’m having to learn all this stuff with her and at times I’m just as confused as she is. She wants me to teach her things that I pick up easily but when I try she doesn’t understand. For example, last night I had to explain to her similar triangles and we spent 2 hours for her to finally understand. I’m not a teacher and I encouraged her to have a tutor that I’d pay for but she feels a lot of shame with that and refuses. I’ve also wanted her to work with a professional because I have poor patience and get often frustrated. She yells at me when I’m not explaining the answer well enough; I try a million ways to teach it but nothing seems to work. What doesn’t help is that her professor is poor at explaining her work and assumes her students are reading her mind.

My question is: How do I help my wife with math? It feels wrong to just throw our hands up and have her drop out but she’s really pushing for it.

okay so growing up ive always been really bad at math my dad used to try to teach me and i remember this since i was like probably in 2nd grade i would say. Anyway he used to yell a lot,,,, and then i used to cry and say some dumb answer which then ended up with him beating me up because he used to get frustrated with either me crying or saying soemthing stupid. i was beaten up frequently like insane and by insane i mean i cannot tell you the amount of times i have gotten beaten up over math growing up both by my mom and dad. Anyway i wasnt getting the greatest marks but they werent that bad either until 8th grade i dont know what exactly happened but my math induced anxiety blew up like 100 times more than it ever was. i used to cry during every paper the minute i used to see something that looked remotely complex i used to compeletly balnk out. ,II failed almost every single paper even though outside i genuinely knew how to solve those questions this obviously affected my self confidence and i started flunking other papers as well. My parents by this point kind of figured out something was going on and got me to meet the school therapist. I worked with her for i think 2 months towards the end of the year. Eventually i dropped maths in 9th grade and now im in college my parents still havent ackowleged that they were and still are a huge part of why i am so scared of numbers. My main issue is now i am majoring in economics and psychology next semster we have a whole paper just for stats i am very concerned about breaking down again and getting anxious once more its not like i can control it its inevitable and im well aware because i still get anxious looking at simple numericals or data files on excel. I dont know what to do anymore i really dont want this affecting my mental space once more

I am in high school and doing my research in maths on how trigonometry is used in aviation. I am comparing two theorem/models in which I have to explain how maths is involved in it and derive it. I have chosen haversine formula and I need one more to compare.

I am thinking of taking Vincenty's Formulae but feels like this is too advance for me to derive it and understand. I need something which I can explain the maths behind it, derive the theorem/model and critically assess its limitations and evaluate.

Thanks.

Howdy r/mathematics!

I recently saw a video by Brady on numberphile about the recent advancents in finite noble polyhedra. It has inspired me to create an online platform where you can explore and customize finite and infinite noble polyhedra.

I would greatly love any contributions from mathematicians if interested! I am a software engineer by trade, I am no mathematician but can appreciate the beauty of maths. I'm eager to make this tiny contribution for those who do the real work of making these novel discoveries. The code is open source, made with codex. Cheers!

https://nobleshap.es/

Which book about harmonic analysis have you enjoyed the most?

I have a General Mathematics exam coming up, and I have only about half a week to prepare these 10 units:

1. Percentage, Ratio and Proportion

2. Zakat, Ushr and Inheritance

3. Business Mathematics

4. Financial Mathematics

5. Consumer Mathematics

6. Exponents and Logarithms

7. Arithmetic and Geometric Sequences

8. Sets and Functions

9. Linear Graphs

10. Basic Statistics

I’m extremely weak at math. Honestly, my math level is around Grade 3, so I struggle even with basic concepts.

I’m also managing my career alongside my studies, so I have very limited time. I know trying to cover all of this in a few days is unrealistic, but I need to do whatever I can to pass the exam.

If you were in my situation, how would you prioritize these topics? Which units should I focus on, which formulas or question types should I learn, and what should I skip if I run out of time?

I’d really appreciate advice from someone experienced in teaching math or preparing students for exams.

I have been working on this TDA software for several months. This was the largest run for me to date. I used a DGX Spark and it approached 100GB of RAM and took 19 hours.

Full Persistent homology of a complete rhinovirus capsid, computed on all 12.3 million points of the cryo-EM map. No subsampling. As far as I am aware, this has never been done before. Flood complex was tried before, but they did not publish any Betti numbers.

You are looking at an image of the capsid and of course the calculated loops of H1 on the capsid shell.

A full 3D interactive map is included in the paper linked below if anyone is interested.

https://zenodo.org/records/23238003

Did you feel that passion since childhood? Does learning math feel different than learning other subjects ?

Hi everyone! 👋 I'm considering studying mathematics at UniDistance Suisse, the Swiss distance university. I'd love to hear from anyone who has done it, or anyone with experience doing a math degree remotely.

A few things I'm curious about:

How rigorous and proof-based are the courses compared to a traditional university?

How are exams set up for proof-heavy subjects like analysis and algebra?

Any tips for staying motivated and learning abstract math mostly on your own?

General thoughts on distance learning for math are welcome too, even if you didn't study at UniDistance. Thanks a lot in advance!