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Results tagged with analytic-number-theory
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user 508260
On the blending of real/complex analysis with number theory. The study involves distribution of prime numbers and other problems and helps giving asymptotic estimates to these.
1
vote
Ratios Conjecture for L-functions Associated to Hecke Characters of Number Fields
A ratios conjecture for Hecke characters of $\mathbb Q(i)$ has been stated in Gao & Zhao. Their approach should generalize to other number fields.
The derivation of various properties of low-lying zer …
- 651
8
votes
Accepted
Möbius square root function: existence of multiplicative and bounded function
EDIT: Corrected my previous answer, which contained an incorrect reduction of the problem to a result in the literature.
The answer is likely negative. By [1, Theorem 1.1], the partial sums of any mul …
- 651
1
vote
Sums of multiplicative functions over residue classes
Using the orthogonality relations for Dirichlet characters the problem reduces to estimating sums of the form
$\sum_{n\le x}\chi(n)f(n)$.
In the case of $d_r^\ell$ it should not be hard to derive an a …
- 651