Sign In
Learn bits
National Importance
Admin

21/01/21 13:00 PM IST

New findings in number theory

In news

Interesting new findings on theoretical speculations in number theory may soon emerge from India

Highlights
  • Scientists are working on new cases of Stark conjectures, hypothetical information about the leading terms of L-functions in number theory.
  • These conjectures have direct applications to Hilbert’s 12th problem, one of the central problems in algebraic number theory. 
  • This theory has significance in cryptography, for instance, for generating elliptic curves for use in cryptosystems.
Number theory
  • It concerns the study of integer solutions to polynomial equations with integer coefficients. Solving such equations, in general, is challenging.
  • They are studied by attaching various invariants-- function, quantity, or property, which remains unchanged when a specific transformation is applied.
  • A very classical, fruitful, and much-studied invariant is the L-function (function on the complex plane, associated to one out of several categories of mathematical objects).
  • Some of the deepest problems in modern number theory are concerned with proving exact formulae for the values of L-functions at integer points in terms of purely arithmetic objects.
Source: PIB

More Related Current Affairs View All

08 Sep

Rajasthan’s coaching centre Bill

'The Rajasthan Coaching Centres (Control and Regulation) Bill, 2025, is a significant piece of legislation passed by the Rajasthan Assembly to regulate and oversee the state's burg

Read More

28 Aug

IADT-1

'Recently, the Indian Space Research Organisation (ISRO) successfully carried out its first Integrated Air Drop Test (IADT-1), a crucial milestone in the preparation for the countr

Read More

28 Aug

H-1B visa changes

'H-1B visa changes 2025: United States Commerce Secretary Howard Lutnick called the popular H-1B visa program a “scam”, saying that American businesses should be focuse

Read More

India’s First Ai-Driven Magazine Generator

Generate Your Custom Current Affairs Magazine using our AI in just 3 steps