Bryce Kerr

activity

20122026

most citedSome mixed character sums

4 citations · 16 across the 30 of their papers we have counts for

collaborators

Showing 2013Show all

4 papers · 1 filter

math.NT2013

On a bound of Heath-Brown for Dirichlet $L$ -functions on the critical line

Bryce Kerr

Let $χ$ a primitive character $(mod q)$ and consider the Dirichlet $L$ -function $L (s, χ) = n = 1 \sum \infty \frac{χ ( n )}{n ^{s}} .$ We give a new proof of an upper bound of Heath-Brown…

math.NT2013★ 2 cited

Rational exponential sums over the divisor function

Bryce Kerr

We consider a problem posed by Shparlinski, of giving nontrivial bounds for rational exponential sums over the arithmetic function $τ (n)$ , counting the number of divisors of $n$ . T…

math.NT2013

Character sums over shifted primes

Bryce Kerr

For integer $q$ , let $χ$ be a primitive multiplicative character $(mod q) .$ For integer $a$ coprime to $q$ , we obtain a new bound for the sums $n \leq N \sum Λ (n) χ (n + a),$ where $Λ(…

math.NT2013★ 2 cited

Incomplete exponential sums over exponential functions

Bryce Kerr

We extend some methods of bounding exponential sums of the type $n \leq N \sum e^{2 π ia g^{n} / p}$ to deal with the case when $g$ is not necessarily a primitive root. We als…

On a bound of Heath-Brown for Dirichlet L-functions on the critical line

Rational exponential sums over the divisor function

Character sums over shifted primes

Incomplete exponential sums over exponential functions

On a bound of Heath-Brown for Dirichlet $L$ -functions on the critical line