ramanujan summation proof

Han Yoo-jin never stood out. He worked long hours at a Korean entertainment company, doing what he was told, blending into the crowd. That was his life—ordinary, predictable, and a little empty. Then one night, he met Jung Sae-ri, a young actress who seemed to shine brighter than anyone else in the room. Something about her stayed with him long after the event ended. The next morning, Yoo-jin woke up to a strange new ability. He could see a person’s potential as if it were written on a screen—numbers, stats, the raw truth of who might become a star. It was a power that could change everything in the entertainment world. At work, he came across Choi Mina, a trainee still in her teens. She had the kind of spark that could move millions, but she didn’t believe in herself. The industry had already worn her down. Yoo-jin saw her differently. He decided to help her, not just as a producer, but as someone who wanted her to find her place in the world. But the road to fame is full of traps. Jealous rivals, greedy agencies, and the ever-hungry press are ready to tear down anyone who rises too fast. Yoo-jin will have to protect the people he cares about, keep his secret hidden, and prove that not every success story ends in a scandal. Because in a world built on fame and lies, staying true might be the hardest thing of all.

Where am I ? Who am I ? There’s a faint metallic smell. My body feels sticky. I try to think, but nothing comes back. No name nor face. My body moves, but something feels wrong. It's like it isn’t mine. Everything around me feels unfamiliar, the more I look, the less I understand. I need to find out what happened.

Overnight, the entire class was transmigrated to a parallel world. Everyone awakened their own talents. The school bully awakened the warrior job class. His strength was through the roof. The school beauty awakened the assassin job class. Her speed was supernatural. From the start, Su He awakened the class president job class. His ability was to combine all the talents of his classmates. He obtained the total attack, defense, and speed talents of everyone! His classmate lamented, “Why is it that the harder we work to improve, the greater the difference between us and him becomes?” Su He encouraged, “All of you, train hard. The harder you work, the faster I will level up!”

"In Tokyo's high-tech cyber underworld, a ghost network named 'Black Mirror' is shutting down elite security systems without leaving a single trace. When Inspector Sato runs out of leads, she recruits Kenji, a 17-year-old student with no tech, no weapons, but a dangerous mind. Kenji solves crimes using 'Null Proof'—uncovering the truth not by what is found, but by what is missing. "Created & Written by: Abdul Quadir

When does one truly die? If everyone in the world doesn't know you, if they can't see or hear you can you consider yourself alive? A boy whose life is practically non existent in the sense that no matter what he does no one seems to remember him except his mother soon finds out the reason for the way his life has been going this way day he came home and found a mysterious black figure at his doorstep instead of his mother A story about a young man who strives to keep the one proof of his existence alive while gathering allies who aid him in his battle against the supernatural

Detective Jane Stevens encounters a new case. This one....... this one was different.

Gavin, the peculiar anti-hero of Endless Proof: Reincarnation Isn't Justice!, is a petite, delicate-looking teenage boy whose outward appearance is as unnerving as his personality. With his diminutive frame and androgynous features, he often draws confused glances, an effect only heightened by his striking hair—split evenly between stark white and jet black, as if his very existence is divided between light and shadow. But it’s his eyes that truly unsettle: deep, black voids that seem to swallow light, as though they’re windows to the infinite emptiness of his soul. His unnervingly blank expression often gives way to smirks of dry amusement, the only hint at the chaos he’s about to unleash. Gavin has long since stopped caring about the endless cycle of reincarnation he’s trapped in. With no original life to anchor him and an unending loop of memories from countless worlds, identities, and timelines, he’s grown utterly disillusioned. He doesn’t even bother pretending to be invested anymore. Instead, he’s made a choice: if the universe insists on thrusting him into infinite lives, he’ll make each one a stage for his dark comedy, turning everyone around him into unwitting participants in his whimsical chaos. Despite his frail, ghostlike appearance, Gavin wields immense power, easily bending the rules of each world to suit his humor. He might conjure a fire-breathing dragon, only to make it sneeze bubbles instead of fire. He’s just as likely to replace the fearsome demon king’s minions with a choir of tone-deaf singing slimes or turn the Chosen Hero’s sacred relic into a banana. His deadpan delivery and unflinching apathy only make his antics more jarring—he’ll face world-ending crises with the same energy he uses to decide whether breakfast should include toast. Though Gavin’s jokes are seemingly harmless, they often force other characters to face the absurdity of their own existences. Arrogant knights, stoic kings, and brooding villains are all reduced to bumbling fools in his presence, their grand destinies shredded by his relentless mockery of the narratives they cling to. Yet, underneath his sharp wit and apathetic exterior lies a tragic core—an eternal loneliness born from existing without an origin, a person without a home or purpose. For Gavin, humor is both a weapon and a shield, a way to stave off the crushing weight of eternity. While others see him as an unpredictable force of nature, he sees himself as the punchline to an unfunny cosmic joke. His actions may seem random, but there’s a method to his madness: to remind everyone, including himself, that in a world as absurd as his, laughter is the only thing that makes sense.

Sophie Wexler transmigrated into a novel about The Galaxy, becoming the vicious, F-rank Healer-class cannon fodder. The original owner constantly caused trouble and made things difficult for the female lead, earning her the hatred of the entire internet. Upon transmigrating and seeing that everything had been ruined by the original owner, Sophie's only thought was: "What kind of nightmare start is this?!" To escape the original owner's fate, Sophie Wexler worked diligently, conducted herself conscientiously, stayed away from the male and female leads, compensated the soldiers harmed by the original owner, and strove to be a model citizen of The Galaxy, absolutely refusing to be the cannon fodder 'offed' by the Imperial Marshal! Broke and powerless, Sophie also had to support a man who'd been innocently dragged into the original owner's mess. She had no choice but to hustle. She started live streaming, became a masked singer, and held concerts. At first, netizens were scornful: 【Tsk, how good can she possibly sound?】 Later, the netizens were forced to eat their words. 【Damn, that's so good I'm on my knees!】 【What the hell, the violent episode of my Disorder Period has actually been soothed?!】 【The toxins in my Spiritual Sea have actually been eliminated!】 Her live streams went viral, the masked singer became a huge sensation, and tickets for her concerts were snapped up across The Galaxy. Sophie was content, thinking, "This time, I must have finally escaped the original owner's fate, right?" But what do you know, the man I've been doting on and supporting is actually the Imperial Marshal?! --- One day, Yancey Forrest came home to find that the boisterous person who was always claiming to be good to him was gone. His eyes darkened. Provoke me and then think you can leave? After catching her, Yancey traced his fingertips along Sophie's neck, smiling gently. "Why run?" Sophie trembled. "You... you're the Imperial Marshal?" His identity exposed, Yancey Forrest took her hand and slowly placed it on his own neck ring. "You know I won't kill you, don't you?"

Amelia Lockhart has one mission: make the top idol Ethan Quinn fall in love with her, then break his heart, so that Ethan Quinn can successfully pass his tribulation and return to his position as a High God. There's just one problem: as the most hated woman on the internet, Amelia is the last person anyone would pair with the nation's golden boy. But when she lands a spot on a dating show alongside Ethan, she sees her chance. She does all the heavy lifting and is dependable enough to make him see her differently. As a result, Ethan starts pretending to be weak. The fans are confused. Their untouchable idol is... blushing? Getting clingy? Calling her "jiejie" in that voice? "Sis, I surrender." "Sis, you can only spoil me like this." Amelia is losing control of the plan. She was supposed to seduce him and walk away. So why is he the one coaxing her to stay, and why is it getting harder to say no?

In her past life, Su Yaoguang bought Xiao Yanci, supported his education, and helped him rise to great heights. She became his wife. Everyone praised him for never abandoning the farm girl who funded his rise. Su Yaoguang also believed she had found a good man. Unexpectedly, when she was seriously ill, she saw Xiao Yanci bring his first love and a child who resembled them both to her bedside. "Dad, mom, when will this person die?" the child asked, holding Xiao Yanci's hand. Xiao Yanci responded, "Soon, just wait a bit longer." That was the moment she realized: she had wasted her entire life on the wrong man. Returning to the age of fifteen, Su Yaoguang pointed at the bloody young boy: "I want him." In her past life, no matter what she gave Xiao Yanci, she only received a cold expression. This time, the young boy, like a wolf cub, dropped his guard; everything Sister gifted was the best. Sweet as milk. Devoted beyond reason. He melted her completely. Until one day, the young boy took a high position. Not wanting history to repeat itself, Su Yaoguang packed her things and slipped away at night, only to run into a man as noble and unattainable as a deity. "I've heard you call us siblings everywhere. Good sister, shouldn't we change what we call each other?"