New Identities Emerge from q-Series Congruences
Recent research leverages a powerful transformation to uncover novel relationships within the realm of special functions and number theory.
Recent research leverages a powerful transformation to uncover novel relationships within the realm of special functions and number theory.

At the end of December, Xbox Game Pass will remove two games: the unique horror title Carrion and the team-based shooter Hell Let Loose. This is the last game update for the service in 2024. Interestingly, Carrion was the first game added to Game Pass this year, while Hell Let Loose was the second.

Itzaland is home to over a dozen unique plants, and finding them all can be challenging depending on their location and how you collect them. This guide will show you exactly where to find each plant, whether you’re trying to complete your collection or gather materials for crafting.

I have to admit, when I first saw the Problem Bar, I thought it was just a fancy way of showing how thirsty you were. But it’s so much more than that! It doesn’t really seem to fill up when you drink water, and it drains at a weird, unpredictable rate. Honestly, if you just ignore it, bad things happen. I’m really trying to figure out exactly what this bar means and how to keep it under control, so let me explain what I’ve learned.

Black Frieza’s impressive arrival has significantly shaken up the power levels in the Dragon Ball series. Even at their strongest, Goku and Vegeta couldn’t compete with him, suggesting only one Saiyan might stand a chance against this universe-threatening villain. Let’s explore who that could be.

As the year ends, it’s a good time to look back at the best new game releases. This list is based on scores from Metacritic, and only includes games that came out in 2025 with reviews from at least 25 critics. We’re focusing on brand new games, so even though The Legend of Zelda is fantastic on the Nintendo Switch 2, it won’t be included because it’s a port of an older title.

It’s crazy to think the Xbox 360 is over 20 years old now! As a fan, I remember when it first came out and how it really changed gaming for Microsoft. They improved everything, especially Xbox Live. Sure, there were issues – anyone who had one remembers being terrified of the Red Ring of Death! – but despite that, Microsoft sold over 84 million consoles, making it the most successful Xbox ever. And the games! Halo 3 and Gears of War 2 were just the beginning of an amazing library. Even with newer consoles out there from PlayStation and Nintendo, I still get a huge wave of nostalgia thinking about my Xbox 360.
![The study demonstrates how contributions to the coefficient [latex]F_{W,3}^{(2,1),\text{fin}}[/latex] vary with center-of-mass energy, specifically between 50 and 150 GeV, revealing a nuanced relationship between these parameters.](https://arxiv.org/html/2512.22992v1/x12.png)
New research delivers a more precise understanding of quark behavior within the Drell-Yan process, enhancing the accuracy of theoretical models used at particle colliders.

The new Switch 2 is definitely more powerful, but some early adopters were let down by how things played out in 2025. It would have been helpful for them to have known more beforehand about what to expect, especially when it came to selling old gear or buying new accessories. Hopefully, future buyers can avoid those same problems.

Stardew Valley is a hugely popular indie game from the 2010s that remains incredibly successful today. Players worldwide adore the game, and that affection often extends to its creator, ConcernedApe. The developer has earned a lot of praise from the community by consistently releasing updates without asking for any additional payment beyond the original price.