# LAGRANGIANS WITH RIEMANN ZETA FUNCTION

@article{Dragovich2008LAGRANGIANSWR, title={LAGRANGIANS WITH RIEMANN ZETA FUNCTION}, author={Branko Dragovich}, journal={arXiv: High Energy Physics - Theory}, year={2008} }

We consider construction of some Lagrangians which contain the Riemann zeta function. The starting point in their construction is p-adic string theory. These Lagrangians describe some nonlocal and nonpolynomial scalar field models, where nonlocality is controlled by the operator valued Riemann zeta function. The main motivation for this research is intention to find an effective Lagrangian for adelic scalar strings.

## 6 Citations

### Nonlocal dynamics of p-adic strings

- Mathematics
- 2010

We consider the construction of Lagrangians that might be suitable for describing the entire p-adic sector of an adelic open scalar string. These Lagrangians are constructed using the Lagrangian for…

### Towards effective Lagrangians for adelic strings

- Mathematics, Physics
- 2009

p‐Adic strings are important objects of string theory, as well as of p‐adic mathematical physics and nonlocal cosmology. By a concept of adelic string one can unify and simultaneously study various…

### From $p$-Adic to Zeta Strings

- Mathematics
- 2020

This article is related to construction of zeta strings from $p$-adic ones. In addition to investigation of $p$-adic string for a particular prime number $p$, it is also interesting to study…

### p-Adic mathematical physics: the first 30 years

- Physics, Educationp-Adic Numbers, Ultrametric Analysis and Applications
- 2017

p-Adic mathematical physics is a branch of modern mathematical physics based on the application of p-adic mathematical methods in modeling physical and related phenomena. It emerged in 1987 as a…

### p-Adic mathematical physics: the first 30 years

- Physics, Education
- 2017

A brief review of main achievements in some selected topics of p-adic mathematical physics and its applications, especially in the last decade, mainly paid to developments with promising future prospects.

### The p-adic sector of the adelic string

- Mathematics
- 2010

We study the construction of Lagrangians that can be considered the Lagrangians of the p-adic sector of an adelic open scalar string. Such Lagrangians are closely related to the Lagrangian for a…

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