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## Archives by Category:

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## All Posts:

- Having no internet for four half weeks isn’t necessarily all bad
- A Short Note on Gaps Between Powers of Consecutive Primes
- Sage Days 87 Demo: Interfacing between sage and the LMFDB
- “Second Moments in the Generalized Gauss Circle Problem” (with T. Hulse, C. Ieong Kuan, and A. Walker)
- How fat would we have to get to balance carbon emissions?
- Slides from a Dissertation Defense
- Experimenting with latex2html5: PSTricks to HTML interactivity
- Slides from a Talk at the Dartmouth Number Theory Seminar
- Smooth Sums to Sharp Sums 1
- About 2017
- Revealing zero in fully homomorphic encryption is a Bad Thing
- My Teaching
- Programming Masthead
- Math 100 Fall 2016: Concluding Remarks
- Computing pi with tools from Calculus
- Series Convergence Tests with Prototypical Examples
- A Notebook Preparing for a Talk at Quebec-Maine
- Math 100: Completing the partial fractions example from class
- “On Functions Whose Mean Value Abscissas are Midpoints, with Connections to Harmonic Functions” (with Paul Carter)
- Paper: Sign Changes of Coefficients and Sums of Coefficients of Cusp Forms
- Math 42 Spring 2016 Student Showcase
- Math 42: Concluding Remarks
- Math 420: Supplement on Gaussian Integers II
- Math 420: Supplement on Gaussian Integers
- A Brief Notebook on Cryptography
- Motivating a Change of Variables in $\int \log x / (x^2 + ax + b) dx$
- Math 420: Second Week Homework
- Math 420: First Week Homework and References
- Paper:Short-Interval Averages of Sums of Fourier Coefficients of Cusp Forms
- Paper: The Second Moments of Sums of Fourier Coefficients of Cusp Forms
- Estimating the number of squarefree integers up to $X$
- Some Statistics on the Growth of Math.SE
- One cute integral served two ways
- The Gamma Function, Beta Function, and Duplication Formula
- Notes from a talk on the Mean Value Theorem
- Mathematics Category Archive
- Three Conundrums on Infinity
- Continuity of the Mean Value
- Review of How Not to Be Wrong by Jordan Ellenberg
- Another proof of Wilson’s Theorem
- Trigonometric and related substitutions in integrals
- A bit more about partial fraction decomposition
- Functional Equations for L-Functions arising from Modular Forms
- A response to FtYoU’s question on Reddit
- Friendly Introduction to Sieves with a Look Towards Progress on the Twin Primes Conjecture
- Math 100 Fall 2013: Concluding Remarks
- Response to bnelo12’s question on Reddit (or the Internet storm on $1 + 2 + \ldots = -1/12$)
- An Intuitive Overview of Taylor Series
- Response to fattybake’s question on Reddit
- Math 100: Before second midterm
- Comments vs documentation in python
- Programming
- Math 100: Week 4
- Math 100: Week 3 and pre-midterm
- Happy Birthday to The Science Guy
- An intuitive introduction to calculus
- Twenty Mathematicians, Two Hard Problems, One Week, IdeaLab2013
- Chinese Remainder Theorem (SummerNT)
- Notes on the first week (SummerNT)
- A proof from the first sheet (SummerNT)
- Recent developments in Twin Primes, Goldbach, and Open Access
- Calculations with a Gauss-type Sum
- A Book Review of Count Down: The Race for Beautiful Solutions at the IMO
- Hurwitz Zeta is a sum of Dirichlet L Functions, and vice-versa
- Math journals and the fight over open access
- Are the calculus MOOCs any good: After week 1
- Are the calculus MOOCs any good?
- Math 90: Concluding Remarks
- Math 90: Week 11 and Midterm Solutions
- An Application of Mobius Inversion to Certain Asymptotics I
- Math 90: Week 10
- Math 90: Week 8 Quiz
- Math 90: Week 8
- Math 90: Week 7
- Math 90: Week 5
- Math 90: Week 4
- Math 90: Week 3
- Math 90: Week 2
- Math 90: Week 1
- The danger of confusing cosets and numbers
- An elementary proof of when 2 is a quadratic residue
- Dancing ones PhD
- Precalculus Supplement: Synthetic Division
- A MSE Collection: Topology Book References
- Three number theory bits: One elementary, the 3-Goldbach, and the ABC conjecture
- A MSE Collection: A list of basic integrals
- A pigeon for every hole, and then one (sort of)
- From the Exchange: Is it unheard of to like math but hate proofs?
- Back to Work
- Education Musings
- Tiontobl: A combinatorial game
- Mapping Class Groups
- Ghostwritten Word
- Not so Nobel today
- Points under Parabola
- Finding the Number of Lattice Points Under a Quadratic
- Two short problems
- Page update
- A new toy problem
- Reading Math
- A month, you say?
- Fermat Factorization II
- From the Exchange
- Factoring III
- Prime rich and prime poor
- Factoring II
- Giving Journals
- Back and Forum-ing: Beating a dead horse
- The Collatz Conjecture – recent development?
- Visiting Gaussian Quadrature
- Factoring I
- Daily Math in Zagreb
- Integration by Parts
- Dead Week / Finals Week
- Khan an effective supplement/ Survey.
- Towards an Expression for pi II
- Towards an Expression for Pi
- 2401: Additional Examples for Test 3
- Slow factoring algorithm II
- Blue Eyes and Brown Eyes
- An even later pi day post
- An interesting (slow) factoring algorithm
- Math subject organization
- Perfect Partitions II
- A Bag’s Journey in Search of its Owner
- Perfect Partitions
- Mathematical ‘Urban Legends’
- About 3 weeks behind:
- A Question on Stoplights
- A late pi day post
- Containers of Water II
- 2401: Missing recitation
- Containers of Water: Maybe an interesting question.
- Test Solution
- Pizza
- Fun Limit
- Math – dealing with sin (and cos) every day.