Everything about Digit sum

🧭 Start here: a 6-step reading path

1. Read the overview: Digit sumA 5-minute orientation
2. Skim a recent paper: Digital health literacy as a super determinant of health: More than simply the sum of its partsInfluential work since 2022
3. Pick up a classic book: A Textbook on Surveying and Mapping ...The most-reprinted book on the subject
4. Read the landmark paper: Exponential sums of sum-of-digit functionsCited 8 times
5. Go sideways: Casting out ninesA closely related topic
6. Go sideways: Multiplicative digital rootA closely related topic

🏆 Landmark papers (most cited)

• Exponential sums of sum-of-digit functions

  Alan H. Stein · 1986 · Illinois Journal of Mathematics · 8 citations

• The statistics of the continued fraction digit sum

  Doug Hensley · 2000 · Pacific Journal of Mathematics · 8 citations

• A distributional limit law for the continued fraction digit sum

  Marc Kesseböhmer, Mehdi Slassi · 2008 · Mathematische Nachrichten · 6 citations

• Some number-theoretical properties of generalized sum-of-digit functions

  Gerhard Larcher, Robert Tichy · 1989 · Acta Arithmetica · 6 citations

• Arithmetic properties of positive integers with fixed digit sum

  Florian Luca · 2006 · Revista Matemática Iberoamericana · 5 citations

• Characteristic digit-sum sequences

  Aleksandr Tuxanidy, Qiang Wang · 2017 · Cryptography and Communications · 0 citations

• An algorithm for studying the digit sum of large integers

  Yixun Shi · 2000 · International Journal of Computer Mathematics · 0 citations

• Waring’s problem for polynomial rings and the digit sum of exponents

  Seth Dutter, Cole Love · 2017 · Research in Number Theory · 0 citations

🆕 Influential since 2022

• Digital health literacy as a super determinant of health: More than simply the sum of its parts

  Robin van Kessel, Brian Li Han Wong, Timo Clemens · 2022 · Internet Interventions · 350 citations

📚 Books worth reading

• A Textbook on Surveying and Mapping ...International Correspondence Schools , International Correspondence Schools · 1898

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics

• Casting out nines Casting out nines is any of three arithmetical procedures: Adding the decimal digits of a positive whole number, while optionally ignoring any 9s or digits…
• Multiplicative digital root In number theory, the multiplicative digital root of a natural number n {\displaystyle n} in a given number base b {\displaystyle b} is found by multiplying…
• Digital root The digital root (also repeated digital sum) of a natural number in a given radix is the (single digit) value obtained by an iterative process of summing…
• Perfect digital invariant In number theory, a perfect digital invariant (PDI) is a number in a given number base ( b {\displaystyle b} ) that is the sum of its own digits each raised…
• Narcissistic number In number theory, a narcissistic number (also known as a pluperfect digital invariant (PPDI), an Armstrong number (after Michael F. Armstrong) or a plus…
• Trailing zero A trailing zero is any 0 digit that comes after the last nonzero digit in a number string in positional notation. For digits before the decimal point,…
• Repeating decimal A repeating decimal or recurring decimal is a decimal representation of a number whose digits are eventually periodic (that is, after some place, the same…
• Witt vector In mathematics, a Witt vector is an infinite sequence of elements of a commutative ring. Ernst Witt showed how to put a ring structure on the set of Witt…