The Top 100

Researchers active on the Riemann hypothesis and the zeros of zeta and L-functions

The list is sortable on any column. Type in the search box to filter by name, institution, or country. Click any name for that researcher's profile page.

This page shows the 100 highest-ranked living researchers, renumbered 1 to 100. Researchers in the ranked pool who have passed away are remembered on the In Memoriam page.

Reading the columns. arXiv rank, OA rank, and zbMATH rank are the researcher's position in the composite score for each pipeline. For arXiv and OpenAlex a keyword match in a paper title counts at full weight and an abstract-only mention at half, so papers that only cite the Riemann hypothesis in passing are discounted. The arXiv pipeline covers 15 search terms in math.NT; OpenAlex covers 14 phrase queries (137 qualifying authors); zbMATH covers MSC classes 11M26 and 11M50 (362 qualifying authors). The overall rank combines the three sources with weights 70% arXiv, 20% OpenAlex, 5% zbMATH. OpenAlex and zbMATH can only improve a researcher's rank (the score is capped at the pure-arXiv rank), so the list is solidly arXiv-anchored while strong evidence in a second or third pipeline lifts a researcher. Lower is better in every column. See the methodology for details.

Ranks shown in [square brackets] are interpolated estimates, not measured values. How interpolation works.

Source column legend

The Source column records which pipeline ranked each researcher directly. Where a pipeline did not rank someone, the rank shown for that pipeline is an interpolated estimate (in [square brackets]).

• all_three: ranked directly by arXiv, OpenAlex, and zbMATH. The unanimous core.
• arx+oa: ranked by arXiv and OpenAlex, but not zbMATH.
• arx+zb: ranked by arXiv and zbMATH, but not OpenAlex.
• oa+zb: ranked by OpenAlex and zbMATH, but not arXiv.
• arxiv_only: ranked only by the arXiv pipeline.
• oa_only: ranked only by OpenAlex. Often senior figures who publish in journals and do not post preprints.
• zb_only: ranked only by zbMATH. RH is an arXiv-heavy field, so most of the list is ranked from arXiv preprint output, with OpenAlex contributing where it overlaps.

Limitations

This list reflects publication output and citation network density, not subjective importance. A starting point, not a verdict.