ABSTRACT: The Riemann Zeta function ζ( s ) has many different representations. In this paper, we derive several new integral representations of the Zeta function using the inverse Mellin transform and ...

Zach began writing for CNET in November, 2021 after writing for a broadcast news station in his hometown, Cincinnati, for five years. You can usually find him reading and drinking coffee or watching a ...

A decade ago astrophysicists at the Laser Interferometer Gravitational-Wave Observatory (LIGO), operated by the California Institute of Technology and the Massachusetts Institute of Technology, ...

Breakthroughs, discoveries, and DIY tips sent six days a week. Terms of Service and Privacy Policy. Most people’s experiences with polynomial equations don’t ...

Cryptographic hash functions secure data by providing a unique fixed-length output for each input. These functions are essential in blockchain for data integrity and secure transactions. Understanding ...

Masaki Kashiwara has won the 2025 Abel prize, sometimes called the Nobel prize of mathematics, for his work on algebraic analysis. Kashiwara, a professor at Kyoto University, Japan, received the award ...

The human brain not only remembers who other people are, it also uses basic mathematical functions called basis functions to store information about how people interact — for example, how they work ...

In today’s fast-paced world, maintaining a healthy weight and efficient metabolism can often feel like an uphill battle. Many individuals struggle with weight loss, despite following strict diets and ...

ABSTRACT: This survey article illustrates many important current trends and perspectives for the field and their applications, of interest to researchers in modern algebra, mathematical logic and ...