Bilinear forms and character sums have emerged as pivotal tools in analytic number theory, offering robust frameworks for investigating sums wherein variables interact multiplicatively. Bilinear forms ...
Number theorists are always looking for hidden structure. And when confronted by a numerical pattern that seems unavoidable, they test its mettle, trying hard—and often failing—to devise situations in ...
A new proof significantly strengthens a decades-old result about the ubiquity of ways to represent whole numbers as sums of fractions. Number theorists are always looking for hidden structure. And ...
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