Vincent Pigno

activity

20142018

most citedEvaluating Binomial Character Sums Modulo Powers of Two

4 citations · 11 across the 5 of their papers we have counts for

collaborators

Showing 2014Show all

4 papers · 1 filter

math.NT2014

Binomial Character Sums Modulo Prime Powers

Vincent Pigno, Christopher Pinner

We show that the binomial and related multiplicative character sums $(x, p) = 1 x = 1 \sum p^{m} χ (x^{l} (A x^{k} + B)^{w}), x = 1 \sum p^{m} χ_{1} (x) χ_{2} (A x^{k} + B),$ …

math.NT2014★ 4 cited

Evaluating Prime Power Gauss and Jacobi Sums

Misty Long, Vincent Pigno, Christopher Pinner

We show that for any mod $p^{m}$ characters, $χ_{1}, \dots, χ_{k},$ the Jacobi sum, $x_{1} = 1 \sum p^{m} \dots x_{k} = 1 x_{1} + \dots + x_{k} = B \sum p^{m} χ_{1} (x_{1}) \dots χ_{k} (x_{k}),$ ha…

math.NT2014

Minimal Mahler measure in real quadratic fields

Todd Cochrane, RMS Dissanayake, Nicholas Donohoue +4

We consider upper and lower bounds on the minimal height of an irrational number lying in a particular real quadratic field.

math.NT2014★ 4 cited

Evaluating Binomial Character Sums Modulo Powers of Two

Vincent Pigno, Chris Pinner, Joe Sheppard

We show that for any mod $2^{m}$ characters, $χ_{1}, χ_{2},$ the complete exponential sum, $x = 1 \sum 2^{m} χ_{1} (x) χ_{2} (A x^{k} + B),$ has a simple explicit evaluation.