Distribution \(\bmod{p}\) of Euler's totient and the sum of proper divisors
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Publication:6203863
DOI10.1307/mmj/20216082arXiv2105.12850OpenAlexW3164481304MaRDI QIDQ6203863
Akash Singha Roy, Paul Pollack, Noah Lebowitz-Lockard
Publication date: 8 April 2024
Published in: Michigan Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.12850
Applications of sieve methods (11N36) Arithmetic functions; related numbers; inversion formulas (11A25) Other results on the distribution of values or the characterization of arithmetic functions (11N64)
Cites Work
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- Das asymptotische Verhalten von Summen über multiplikative Funktionen
- Uniform distribution of sequences of integers in residue classes
- Values of the Euler phi function not divisible by a given odd prime
- On a problem of Oppenheim concerning Factorisatio Numerorum
- Distribution of values of arithmetic functions in residue classes
- On the number of restricted prime factors of an integer. I
- Euler's function in residue classes
- Some arithmetic properties of the sum of proper divisors and the sum of prime divisors
- Congruences and rational exponential sums with the Euler function
- Distributional properties of the largest prime factor
- On the distribution of the partial sum of Euler's totient function in residue classes
- Multiplicative character sums with the Euler function
- The smallest invariant factor of the multiplicative group
- Least totients in arithmetic progressions
- A NOTE ON THE LEAST TOTIENT OF A RESIDUE CLASS
- CONGRUENCES AND EXPONENTIAL SUMS WITH THE SUM OF ALIQUOT DIVISORS FUNCTION
- Popular values of Euler's function
- On the distribution of amicable numbers.
- Residue classes free of values of Euler's function
- Generators and irreducible polynomials over finite fields
- Least totient in a residue class
- WEAK PROPER DISTRIBUTION OF VALUES OF MULTIPLICATIVE FUNCTIONS IN RESIDUE CLASSES
- On the divisibility of $σ_ν (n)$
- Values of the Euler 𝜙-function not divisible by a given odd prime, and the distribution of Euler-Kronecker constants for cyclotomic fields
- Paul Erdős and the Rise of Statistical Thinking in Elementary Number Theory
- Residue classes having tardy totients
- On distribution of values of multiplicative functions in residue classes
- A conjecture in elementary number theory
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