- Analytic Number Theory
- Chebyshev functions
- Complex Analysis
- Dirichlet product
- Dirichlet series
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- Von Mangoldt function
abscissa of convergence Blaschke factors Borel-Carathéodory lemma bounds Cauchy's theorem characteristic function of divisors Chebyshev function Dirichlet series divisor function entire function Euler's totient function holomorphic function Jensen's inequality Kronecker's lemma Menon's identity Möbius function Picard theorem prime number theorem Ramanujan's sum Riemann zeta function summation by parts units zero-free region
Tag Archives: Menon’s identity
Lifting of units and Menon’s identity
Let $d$ be a divisor of $n$. It is natural to ask the following question: Does a unit $a$ modulo $d$ lifts to a unit modulo $n$, i.e., if $a$ is a unit modulo $d$, then does there exist a … Continue reading
Posted in Euler's totient function
Tagged Euler's totient function, Menon's identity, units
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