The convergence of these values is guaranteed by Hurwitz’s theorem. When the sum of “one minus the magnitude of these values” on the unit disc is finite, they can be prescribed using a Blaschke product. Dirichlet (“dee-rush-LAY”) L-functions are conjectured not to have a kind of these values named for Landau and Siegel. The Weierstrass (“VYE-ur-shtrahss”) factorization theorem constructs an entire function with a given set of these values, which are the (*) poles of a function’s reciprocal. A region “free” of these values logarithmically approaches the boundary of a “critical strip.” Whether all nontrivial instances of these values have real part one-half is the subject of the Riemann hypothesis. For 10 points, name these points at which a function outputs the origin. ■END■
| 2025 Penn Bowl - Stanford | 10/25/25 | Y | 4 | 100% | 25% | 50% | 96.50 |
| 2025 Penn Bowl - Northwestern | 10/25/25 | Y | 4 | 100% | 50% | 50% | 85.75 |
| 2025 Penn Bowl - Mainsite (UPenn) | 11/01/25 | Y | 5 | 100% | 20% | 0% | 87.80 |
| 2025 Penn Bowl - BU | 11/01/25 | Y | 4 | 100% | 75% | 25% | 75.75 |
| 2025 Penn Bowl - CWRU | 11/01/25 | Y | 3 | 67% | 0% | 33% | 112.50 |
| 2025 Penn Bowl - UNC | 11/01/25 | Y | 3 | 100% | 0% | 0% | 107.00 |
| 2025 Penn Bowl - WashU | 11/01/25 | Y | 2 | 100% | 0% | 0% | 100.00 |
| 2025 Penn Bowl - Ottawa | 11/01/25 | Y | 7 | 100% | 14% | 0% | 85.57 |
| 2025 Penn Bowl - UK | 11/01/25 | Y | 9 | 100% | 44% | 22% | 78.56 |
| 2025 Penn Bowl - Online | 11/08/25 | Y | 2 | 100% | 0% | 0% | 111.00 |
| 2025 Penn Bowl - Murray State | 11/08/25 | Y | 2 | 100% | 0% | 0% | 105.50 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Vivek Sasse | Hail to the Sheaf | Alas poor Warwick, I knew him Edinburgh | 38 | 15 |
| Agnijo Banerjee | Penn and the Art of Tossup-Bonus cycle Maintenance | Washed Scrubs | 46 | 15 |
| Oliver West | Galactic Ombudsmen | question mark | 49 | 15 |
| Stephen Walsh | Northwestern A | Illinois | 49 | -5 |
| Cade Reinberger | RIT | Brown | 51 | 15 |
| Alex Akridge | Indiana | Purdue B | 51 | 15 |
| Kunaal Chandrashekar | Toronto G | Waterloo you are crooked | 51 | 15 |
| Swapnil Garg | Berkeley A | Stanford B | 51 | 15 |
| Coby Tran | UChicago B | Purdue A | 52 | 15 |
| Daniel Ma | Mount Sinai | NYU B | 66 | 15 |
| Matt Booth | Burnaburiash's Lapis Lazuli | To buzz is to be perceived | 66 | 15 |
| Sidarth Erat | MIT B | Brandeis | 66 | 15 |
| Luke Robitaille | MIT A | I've been running into you in my lead plumbocene what could have benzene | 66 | 15 |
| Michał Gerasimiuk | Stanford A | Free Win | 70 | -5 |
| Asha Basu | McGill B | Ottawa 67s | 73 | 10 |
| Robert Crawley | Paul Quifford, or, It Was a Dark and Stormy Tournament | The Bit and the Penndulum | 74 | 10 |
| Aditya Rajesh | Northwestern B | UChicago C | 74 | -5 |
| James McCurley | Harvard | Yale | 77 | -5 |
| Daniel Hothem | In Search of Lost Clues | Berkeley C | 77 | -5 |
| Sinecio Morales | JHU A | Swarthmore | 80 | 10 |
| John John Groger | WashU Kiki | WashU Bouba | 80 | 10 |
| Aditya Patnaik | Ohio State A | CWRU | 81 | -5 |
| Theodore Lam | Toronto Sunshine Bubbles | Queen's is monitoring the situation | 83 | 10 |
| Matthew He | Texas B | Central Oklahoma | 91 | 10 |
| Jason Qin | Columbia A | JHU B | 92 | 10 |
| Imran Rahman | Chimp Brisket | Knorr Stock Clue | 95 | 10 |
| Amir Dolansky | Toronto Murder on the Rider Express | McGill Fartlets | 95 | 10 |
| Anuttam Ramji | Berkeley B | The best time to buzz was twenty clues ago. The second best time to buzz is now | 95 | 10 |
| Rayton Lin | Guelph perfomative male competition | Aweille Kevin Fan osti continue comme ça | 96 | 10 |
| Eshan Pant | NYU A | Maryland B | 99 | 10 |
| Ethan Webb | Of Mice and Penn | Bristold | 99 | 10 |
| Zachary Bornstein | VT B | Wise Duke | 99 | 10 |
| Jacob Bicol | #OpenToBuzz | Toronto E | 99 | 10 |
| Mattias Ehatamm | Maryland A | Maryland C | 102 | 10 |
| Noah Chin | VT A | UNC B | 102 | 10 |
| Aatreyo Bhattacharyya | abg academy | New Young Whigs of America | 102 | 10 |
| Jason Zhang | Toronto Operation PBSuccess | Carleton A | 102 | 10 |
| Todd Maslyk | Michigan A | Michigan B | 105 | 10 |
| Joel Dicker | Coughing Baby | Quiztian Bale in Ratman Begins | 106 | -5 |
| Richard McNair | 1. Wawa 2. Blank Street 151. Black Sheep at Kings Cross rail | why is it called a score clue if nobody scores points on it | 106 | -5 |
| Pace Klein | CWRU | Ohio State A | 120 | 10 |
| Joshua Lam | Ohio State B | Michigan C | 120 | 0 |
| Reed Sexton | Michigan C | Ohio State B | 120 | 0 |
| Owen Gilroy | Texas A | Oklahoma | 120 | 10 |
| Philip Jordan | Quiztian Bale in Ratman Begins | Coughing Baby | 120 | 10 |
| Abdelrahman Elsisi | why is it called a score clue if nobody scores points on it | 1. Wawa 2. Blank Street 151. Black Sheep at Kings Cross rail | 120 | 10 |
| Joseph Cole | UNC A | Planck Sinatra | 120 | 10 |
| Tyler Therman | VJ Edgecombe School of Interior Design - Edwardsville | Truman State | 120 | 10 |
| Akshar Goyal | Illinois | Northwestern A | 120 | 10 |
| Mats Miller | UChicago C | Northwestern B | 120 | 10 |
| Simarya Ahuja | Wake Up Paddington A Washington Mystery | rusty shackleford | 120 | 10 |
| Brenden Stremler | Yale | Harvard | 120 | 10 |
| Shahar Schwartz | Free Win | Stanford A | 120 | 10 |
| Aaryan Sumesh | Berkeley C | In Search of Lost Clues | 120 | 10 |