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 |
| Alex Akridge | Indiana | Purdue B | 51 | 15 |
| Swapnil Garg | Berkeley A | Stanford B | 51 | 15 |
| Cade Reinberger | RIT | Brown | 51 | 15 |
| Kunaal Chandrashekar | Toronto G | Waterloo you are crooked | 51 | 15 |
| Coby Tran | UChicago B | Purdue A | 52 | 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 |
| Matt Booth | Burnaburiash's Lapis Lazuli | To buzz is to be perceived | 66 | 15 |
| Sidarth Erat | MIT B | Brandeis | 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 |
| 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 |
| Amir Dolansky | Toronto Murder on the Rider Express | McGill Fartlets | 95 | 10 |
| Imran Rahman | Chimp Brisket | Knorr Stock Clue | 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 |
| Jacob Bicol | #OpenToBuzz | Toronto E | 99 | 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 |
| Aatreyo Bhattacharyya | abg academy | New Young Whigs of America | 102 | 10 |
| Jason Zhang | Toronto Operation PBSuccess | Carleton A | 102 | 10 |
| Mattias Ehatamm | Maryland A | Maryland C | 102 | 10 |
| Noah Chin | VT A | UNC B | 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 |
| 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 |
| 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 |
| Philip Jordan | Quiztian Bale in Ratman Begins | Coughing Baby | 120 | 10 |
| Joseph Cole | UNC A | Planck Sinatra | 120 | 10 |
| Pace Klein | CWRU | Ohio State A | 120 | 10 |
| Shahar Schwartz | Free Win | Stanford A | 120 | 10 |
| Aaryan Sumesh | Berkeley C | In Search of Lost Clues | 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 |
| Tyler Therman | VJ Edgecombe School of Interior Design - Edwardsville | Truman State | 120 | 10 |