Eduard Prugovečki is a mathematician known for his work in areas such as logic, set theory, and mathematical foundations. He has contributed to various mathematical topics, including the study of nonstandard analysis and mathematical logic. Prugovečki is also recognized for his writings and textbooks that address complex mathematical concepts, making them more accessible to students and researchers.

Abu Muhammad al-Hasan al-Hamdani was a notable Arab scholar, poet, and historian from the 10th century. He was born in the region that is present-day Yemen. Al-Hamdani is particularly recognized for his works in geography, history, and poetry, and he is often credited with significant contributions to the understanding of the Arabian Peninsula and its cultures during the Islamic Golden Age.

The Brumer-Stark conjecture is a significant hypothesis in number theory that relates to the structure of abelian extensions of number fields and their class groups. It plays a crucial role in the study of L-functions and their special values, specifically in the context of p-adic L-functions and the behavior of class numbers. The conjecture can be understood in relation to certain aspects of class field theory.

Matej Pavšič is a name that could refer to various individuals, but without specific context, it's challenging to provide precise information. As of my last knowledge update in October 2021, there may not be widely known notable figures by that name.

Apéry's theorem is a result in number theory that concerns the value of the Riemann zeta function at positive integer values. Specifically, the theorem states that the value \(\zeta(3)\), the Riemann zeta function evaluated at 3, is not a rational number. The theorem was proven by Roger Apéry in 1979 and is significant because it was one of the first results to demonstrate that certain values of the zeta function are irrational.

The arithmetic zeta function, often associated with number theory, is a generalization of the Riemann zeta function, which traditionally sums over integers. The arithmetic zeta function, denoted by \( \zeta(s) \), is defined in various ways depending on the context, typically involving sums or products over prime numbers or algebraic structures. One prominent example of an arithmetic zeta function is the **Dedekind zeta function** associated with a number field.

The Ramanujan–Petersson conjecture is a significant result in number theory, specifically in the theory of modular forms and automorphic forms. It was formulated by mathematicians Srinivasa Ramanujan and Hans Petersson and deals with the growth rates of the coefficients of certain types of modular forms.

A Dirichlet character is a complex-valued arithmetic function \( \chi: \mathbb{Z} \to \mathbb{C} \) that arises in number theory, particularly in the study of Dirichlet L-functions and Dirichlet's theorem on primes in arithmetic progressions.

The Eichler–Shimura congruence relations are important results in the field of arithmetic geometry, particularly in the study of modular forms, modular curves, and the arithmetic of elliptic curves. They describe deep relationships between the ranks of certain abelian varieties, specifically abelian varieties that are associated with modular forms.

The Igusa zeta function is a mathematical object that arises in number theory and algebraic geometry, particularly in the context of counting points of algebraic varieties over finite fields. It is a generalization of the classical zeta function associated with a variety defined over a finite field. The Igusa zeta function is particularly useful in the study of the solutions of polynomial equations over finite fields.

P-adic L-functions are a concept in number theory and algebraic geometry that arises in the study of p-adic numbers and L-functions. They are closely related to both classical L-functions (like Riemann zeta functions and Dirichlet L-functions) and p-adic analysis.

The Euler product formula expresses the Riemann zeta function \(\zeta(s)\) as an infinite product over all prime numbers. Specifically, it states that for \(\text{Re}(s) > 1\): \[ \zeta(s) = \prod_{p \text{ prime}} \frac{1}{1 - p^{-s}} \] where \(p\) varies over all prime numbers.

The Siegel zero is a concept in number theory, particularly in the field of analytic number theory. It refers to a hypothetical zero of a certain class of Dirichlet L-functions, specifically those associated with non-principal characters of a Dirichlet character modulo \( q \). The Siegel zero is named after Carl Ludwig Siegel, who studied these functions.

Stieltjes constants are a sequence of complex numbers that appear in the context of analytic number theory, particularly in relation to the Riemann zeta function and Dirichlet series. They were introduced by the mathematician Thomas Joannes Stieltjes in the late 19th century.

The term "Z function" can refer to several concepts in different fields. Here are a few possibilities: 1. **Mathematical Zeta Function**: In number theory, the Riemann Zeta function, denoted as ζ(s), is a complex function that plays a critical role in the distribution of prime numbers.

Ran Raz is a computer scientist known for his contributions to theoretical computer science, particularly in the fields of computational complexity, algorithms, and cryptography. He has made significant strides in understanding the limitations of algorithms and the foundations of randomness in computation. Raz is perhaps best known for his work on the "raz graph," an important concept in the study of communication complexity and lower bounds for various computational models. Additionally, he has contributed to topics like approximation algorithms and hardness of approximation.

Cun (also spelled "cun") is a traditional Chinese unit of measurement for length, commonly used in contexts involving carpentry and construction, particularly in the measurement of wood. One cun is generally considered to be approximately 3.3 centimeters or about 1.3 inches. However, the exact length can vary slightly depending on historical context and regional variations in China.

A "saved game" refers to a stored state of a video game that allows players to save their progress and resume playing later from that specific point. When a player saves a game, the game's current state—including character progress, inventory, location, and any other relevant information—is recorded. This enables players to return to the game without having to start over from the beginning or lose their achievements.

A "shake" is a unit of time that is typically used in nuclear physics and is defined as \(10^{-8}\) seconds, or 10 nanoseconds. The term originated from the idea that the time it takes for a nuclear explosion to produce significant observable effects is on the order of this duration. It is a non-SI unit and is primarily used in contexts related to radiation and nuclear processes, where precise measurements of time intervals in the nanosecond range are often necessary.

As of my last knowledge update in October 2021, there is no widely recognized figure or concept known as "David Rytz." It's possible that he is a private individual or a lesser-known person who has gained prominence after that date.