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 |
| Stephen Walsh | Northwestern A | Illinois | 49 | -5 |
| Oliver West | Galactic Ombudsmen | question mark | 49 | 15 |
| Kunaal Chandrashekar | Toronto G | Waterloo you are crooked | 51 | 15 |
| Cade Reinberger | RIT | Brown | 51 | 15 |
| Alex Akridge | Indiana | Purdue B | 51 | 15 |
| Swapnil Garg | Berkeley A | Stanford B | 51 | 15 |
| Coby Tran | UChicago B | Purdue A | 52 | 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 |
| Daniel Ma | Mount Sinai | NYU B | 66 | 15 |
| Michał Gerasimiuk | Stanford A | Free Win | 70 | -5 |
| Asha Basu | McGill B | Ottawa 67s | 73 | 10 |
| Aditya Rajesh | Northwestern B | UChicago C | 74 | -5 |
| Robert Crawley | Paul Quifford, or, It Was a Dark and Stormy Tournament | The Bit and the Penndulum | 74 | 10 |
| James McCurley | Harvard | Yale | 77 | -5 |
| Daniel Hothem | In Search of Lost Clues | Berkeley C | 77 | -5 |
| John John Groger | WashU Kiki | WashU Bouba | 80 | 10 |
| Sinecio Morales | JHU A | Swarthmore | 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 |
| 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 |
| Imran Rahman | Chimp Brisket | Knorr Stock Clue | 95 | 10 |
| Rayton Lin | Guelph perfomative male competition | Aweille Kevin Fan osti continue comme ça | 96 | 10 |
| Zachary Bornstein | VT B | Wise Duke | 99 | 10 |
| Eshan Pant | NYU A | Maryland B | 99 | 10 |
| Jacob Bicol | #OpenToBuzz | Toronto E | 99 | 10 |
| Ethan Webb | Of Mice and Penn | Bristold | 99 | 10 |
| Aatreyo Bhattacharyya | abg academy | New Young Whigs of America | 102 | 10 |
| Jason Zhang | Toronto Operation PBSuccess | Carleton A | 102 | 10 |
| Noah Chin | VT A | UNC B | 102 | 10 |
| Mattias Ehatamm | Maryland A | Maryland C | 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 |
| Simarya Ahuja | Wake Up Paddington A Washington Mystery | rusty shackleford | 120 | 10 |
| Joseph Cole | UNC A | Planck Sinatra | 120 | 10 |
| Brenden Stremler | Yale | Harvard | 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 |
| Akshar Goyal | Illinois | Northwestern A | 120 | 10 |
| Mats Miller | UChicago C | Northwestern B | 120 | 10 |
| Shahar Schwartz | Free Win | Stanford A | 120 | 10 |
| Aaryan Sumesh | Berkeley C | In Search of Lost Clues | 120 | 10 |
| Tyler Therman | VJ Edgecombe School of Interior Design - Edwardsville | Truman State | 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 |